Zeitschrift fuer Angewandte Mathematik und Physik

Article	Citations
Higher-order hybrid waves for the (2 + 1)-dimensional Boiti–Leon–Manna–Pempinelli equation for an irrotational incompressible fluid via the modified Pfaffian technique	61
On uniqueness and instability for some thermomechanical problems involving the Moore–Gibson–Thompson equation	58
Variable-coefficient symbolic computation approach for finding multiple rogue wave solutions of nonlinear system with variable coefficients	41
Double phase problems with variable growth and convection for the Baouendi–Grushin operator	34
Identification of a geometrically nonlinear micromorphic continuum via granular micromechanics	34
General stability result of swelling porous elastic soils with a viscoelastic damping	29
On the well posedness of static boundary value problem within the linear dilatational strain gradient elasticity	29
Improved results on planar Kirchhoff-type elliptic problems with critical exponential growth	27
Combining effects ensuring boundedness in an attraction–repulsion chemotaxis model with production and consumption	26
Stability of hydrostatic equilibrium for the 2D magnetic Bénard fluid equations with mixed partial dissipation, magnetic diffusion and thermal diffusivity	26
Inverse scattering transform and multiple high-order pole solutions for the Gerdjikov–Ivanov equation under the zero/nonzero background	22
Exponential stabilization of fully dynamic and electrostatic piezoelectric beams with delayed distributed damping feedback	22
Inverse scattering transform for the Gerdjikov–Ivanov equation with nonzero boundary conditions	22
Statistical solution and partial degenerate regularity for the 2D non-autonomous magneto-micropolar fluids	22
Global boundedness and large time behavior of solutions to a chemotaxis–consumption system with signal-dependent motility	20
Global solvability of prey–predator models with indirect predator-taxis	20
Relaxed parameter conditions for chemotactic collapse in logistic-type parabolic–elliptic Keller–Segel systems	19
Suppressing blow-up by gradient-dependent flux limitation in a planar Keller–Segel–Navier–Stokes system	18
Existence and asymptotic behaviour of solutions for a quasi-linear Schrödinger–Poisson system with a critical nonlinearity	17
Model-based assessment of the impact of driver-assist vehicles using kinetic theory	17
Micromagnetics of curved thin films	17
Multiplicity and concentration results for a (p, q)-Laplacian problem in $${\mathbb {R}}^{N}$$	17
On the conditions for the breaking of oscillations in a cold plasma	16
On the nonlocal boundary value problem of geophysical fluid flows	16
Wave propagation for a cooperative model with nonlocal dispersal under worsening habitats	15

General energy decay result for a viscoelastic swelling porous-elastic system	15
New decay results for a viscoelastic-type Timoshenko system with infinite memory	15
The onset of thermal convection in anisotropic and rotating bidisperse porous media	15
A regularity criterion of the 3D MHD equations involving one velocity and one current density component in Lorentz space	15
On a fully parabolic singular chemotaxis-(growth) system with indirect signal production or consumption	14
Parameter identification of a second-gradient model for the description of pantographic structures in dynamic regime	14
On existence of multiple normalized solutions to a class of elliptic problems in whole $${\mathbb {R}}^N$$	14
Traveling waves for a diffusive mosquito-borne epidemic model with general incidence	14
Error bound analysis of the D-gap functions for a class of elliptic variational inequalities with applications to frictional contact mechanics	13
General decay result of solutions for viscoelastic wave equation with Balakrishnan–Taylor damping and a delay term	13
Existence of solutions for a fractional Choquard-type equation in $$\mathbb {R}$$ with critical exponential growth	13
Boundedness and finite-time blow-up in a quasilinear parabolic–elliptic–elliptic attraction–repulsion chemotaxis system	12
Maximally dissipative solutions for incompressible fluid dynamics	12
Global existence and boundedness of a chemotaxis model with indirect production and general kinetic function	12
Existence and stability of steady-state solutions of reaction–diffusion equations with nonlocal delay effect	12
Boundedness and stabilization in a two-species chemotaxis system with logistic source	12
Qualitative analysis on a diffusive SIRS epidemic model with standard incidence infection mechanism	12
Boundedness and large-time behavior for a two-dimensional quasilinear chemotaxis-growth system with indirect signal consumption	12
Positive solutions for anisotropic singular $$\varvec{(p,q)}$$-equations	12
Symmetry and monotonicity of nonnegative solutions to pseudo-relativistic Choquard equations	12
Scattering of linear oblique water waves by an elastic bottom undulation in a two-layer fluid	12
Energy decay for a weakly nonlinear damped piezoelectric beams with magnetic effects and a nonlinear delay term	12
Influence of fear effect and predator-taxis sensitivity on dynamical behavior of a predator–prey model	11
Effective balance equations for electrostrictive composites	11
Blow-up results for semilinear damped wave equations in Einstein–de Sitter spacetime	11
Equilibrium problem for elastic plate with thin rigid inclusion crossing an external boundary	11
Well-posedness and regularity of Caputo–Hadamard fractional stochastic differential equations	11
Boundedness in a high-dimensional forager–exploiter model with nonlinear resource consumption by two species	11
Nonlocal and nonlinear effects in hyperbolic heat transfer in a two-temperature model	11
A thermodynamically consistent stress-rate type model of one-dimensional strain-limiting viscoelasticity	11
Analysis of a malaria epidemic model with age structure and spatial diffusion	11
Well-posedness results for a class of semilinear time-fractional diffusion equations	11
Lie symmetry reductions, power series solutions and conservation laws of the coupled Gerdjikov–Ivanov equation using optimal system of Lie subalgebra	11
Global dynamics and spatio-temporal patterns in a two-species chemotaxis system with two chemicals	11
Solitary waves in mass-in-mass lattices	10
A nonlinear spectral rate-dependent constitutive equation for electro-viscoelastic solids	10
Global well-posedness to three-dimensional full compressible magnetohydrodynamic equations with vacuum	10
Solute dispersion in Casson fluid flow through a stenosed artery with absorptive wall	10
On stability of Boussinesq equations without thermal conduction	10
Laplace stretch: Eulerian and Lagrangian formulations	10
Analysis of improved Nernst–Planck–Poisson models of compressible isothermal electrolytes	10
On the well-posedness for the 2D micropolar Rayleigh–Bénard convection problem	10
Existence and Hölder regularity of infinitely many solutions to a p-Kirchhoff-type problem involving a singular nonlinearity without the Ambrosetti–Rabinowitz (AR) condition	10
Phase-field gradient theory	9
Effects of flexible bed on oblique wave interaction with multiple surface-piercing porous barriers	9
Propagation dynamics for lattice differential equations in a time-periodic shifting habitat	9
Asymptotic behavior in a doubly tactic resource consumption model with proliferation	9
A limiting problem for local/non-local p-Laplacians with concave–convex nonlinearities	9
Sharp decay estimates and asymptotic behaviour for 3D magneto-micropolar fluids	9
A new deformation measure for the nonlinear micropolar continuum	9

Exponential stabilization of a Timoshenko system with thermodiffusion effects	9
An analytic derivation of the bifurcation conditions for localization in hyperelastic tubes and sheets	9
$$L^p$$-theory for a fluid–structure interaction model	9
Stability of piezoelectric beam with magnetic effect under (Coleman or Pipkin)–Gurtin thermal law	9
Variational linearization of pure traction problems in incompressible elasticity	9
The stability and Hopf bifurcation of the diffusive Nicholson’s blowflies model in spatially heterogeneous environment	9
Propagation dynamics for a time-periodic reaction–diffusion SI epidemic model with periodic recruitment	9
A boundary value problem in the theory of elasticity for a rectangle: exact solutions	8
Global strong solution to 3D full compressible magnetohydrodynamic flows with vacuum at infinity	8
Physics-Informed Neural Networks for rarefied-gas dynamics: Poiseuille flow in the BGK approximation	8
A new model for suspension bridges involving the convexification of the cables	8
On the stability of Bresse system with one discontinuous local internal Kelvin–Voigt damping on the axial force	8
Maximum mechano-damage power release-based phase-field modeling of mass diffusion in damaging deformable solids	8
$$L^p$$-trace-free version of the generalized Korn inequality for incompatible tensor fields in arbitrary dimensions	8
Stoneley waves at the generalized Wiechert condition	8
Prescribed signal concentration on the boundary: Weak solvability in a chemotaxis-Stokes system with proliferation	8
Decay of quasi-static porous-thermo-elastic waves	8
Blow-up criterion and the global existence of strong/classical solutions to Navier–Stokes/Allen–Cahn system	8
Fractional Schrödinger equations involving potential vanishing at infinity and supercritical exponents	8
Free boundary problem for the role of planktonic cells in biofilm formation and development	7
Concentration of solutions for fractional Kirchhoff equations with discontinuous reaction	7
Reaction–diffusion problem in a thin domain with oscillating boundary and varying order of thickness	7
On existence and uniqueness of weak solutions to nonlocal conservation laws with BV kernels	7
Nonlinear surface SH waves in a half-space covered by an irregular layer	7
A mechanical model for dark matter and dark energy	7
Existence of solution for a class of heat equation involving the p(x) Laplacian with triple regime	7
Asymptotic profiles in diffusive logistic equations	7
Explicit solution of the Dirichlet boundary value problem of elasticity for porous infinite strip	7
Optimal $$L^{2}$$ decay of the magneto-micropolar system in $${\mathbb {R}}^{3}$$	7
Nonlinear mechanics of thermoelastic accretion	7
Implication of cross-diffusion on the stability of double diffusive convection in an imposed magnetic field	7
Asymptotic behavior of an SIS reaction–diffusion–advection model with saturation and spontaneous infection mechanism	7
Formation of vacuum state and delta shock wave for the relativistic Euler system for polytropic gas with the varying $$\gamma $$-law	6
A Tykhonov-type well-posedness concept for elliptic hemivariational inequalities	6
Global boundedness and stability in a density-suppressed motility model with generalized logistic source and nonlinear signal production	6
A study on the Gurtin–Murdoch model for spherical solids with surface tension	6
Asymptotic behavior of classical solutions of a three-dimensional Keller–Segel–Navier–Stokes system modeling coral fertilization	6
Two stability results for the Kawahara equation with a time-delayed boundary control	6
Asymptotic profile and optimal decay of solutions of some wave equations with logarithmic damping	6
Global generalized solvability in a strongly degenerate taxis-type parabolic system modeling migration–consumption interaction	6
Wave-breaking phenomena for a weakly dissipative shallow water equation	6
Formation of $$\delta $$-shock waves in isentropic fluids	6
Threshold dynamics of a Zika model with environmental and sexual transmissions and spatial heterogeneity	6
Ellipticity in couple-stress elasticity	6
Consistent numerical implementation of hypoelastic constitutive models	6
Well-posedness of the classical solution for the Kuramto–Sivashinsky equation with anisotropy effects	6
On the inhomogeneous NLS with inverse-square potential	6
Thermal conductivity and enhanced thermoelectric efficiency of composition-graded $${\hbox {Si}}_c{\hbox {Ge}}_{1-c}$$ alloys	6
Blow-up results for systems of nonlinear Schrödinger equations with quadratic interaction	6
On the Cauchy problem of the standard linear solid model with Fourier heat conduction	6
Stability and large time decay for the three-dimensional anisotropic magnetohydrodynamic equations	6
Dynamics of a reaction–diffusion SIRS model with general incidence rate in a heterogeneous environment	6
Visco-elastodynamics at large strains Eulerian	6
Dynamics of a diffusion epidemic SIRI system in heterogeneous environment	6
Optimal energy decay result for nonlinear abstract viscoelastic dissipative systems	6
Generalized periodic orbits in some restricted three-body problems	6
Generalized Tresca yield condition as a family of elliptic curves with application to mode I crack problems	6
Existence and concentration of ground state solutions for doubly critical Schrödinger–Poisson-type systems	6
Lower bound of decay rate for higher-order derivatives of solution to the compressible fluid models of Korteweg type	6
Ground state solution to the biharmonic equation	6
Multiple homoclinic solutions for discrete Schrödinger equations with perturbed and sublinear terms	6
Unique solvability of a stationary radiative–conductive heat transfer problem in a semitransparent body with absolutely black inclusions	5
Instability of natural convection in a vertical fluid layer with net horizontal throughflow	5
Normalized solutions to a kind of fractional Schrödinger equation with a critical nonlinearity	5
Boundedness in the higher-dimensional fully parabolic chemotaxis-competition system with loop	5
Boundedness and stabilization in the chemotaxis consumption model with signal-dependent motility	5
Structural stability of shock waves and current-vortex sheets in shallow water magnetohydrodynamics	5
Pseudo S-asymptotically Bloch type periodic solutions to fractional integro-differential equations with Stepanov-like force terms	5
Nonlinear perturbations of a periodic magnetic Choquard equation with Hardy–Littlewood–Sobolev critical exponent	5
Regularity estimates for stationary Stokes problem in some generalized function spaces	5
Perturbation of the scattering resonances of an open cavity by small particles. Part I: the transverse magnetic polarization case	5
Delta shock as free piston in pressureless Euler flows	5
Exact zero transmission during the Fano resonance phenomenon in non-symmetric waveguides	5
Normalized solutions for the Schrödinger systems with mass supercritical and double Sobolev critical growth	5
Existence of solitary SH waves in a heterogeneous elastic two-layered plate	5
Boundedness and stabilization of solutions to a chemotaxis May–Nowak model	5
Infinitely many solutions of Dirac equations with concave and convex nonlinearities	5
Justification of the KP-II approximation in dynamics of two-dimensional FPU systems	5
Stabilization of swelling porous elastic soils with fluid saturation, time varying-delay and time-varying weights	5
On the Cauchy problem of 3D nonhomogeneous magnetohydrodynamic equations with density-dependent viscosity and vacuum	5

Existence and concentration behavior of solutions for the logarithmic Schrödinger–Bopp–Podolsky system	5
Existence and uniqueness of time periodic solutions to the compressible magneto-micropolar fluids in a periodic domain	5
Global attractors for a novel nonlinear piezoelectric beam model with dynamic electromagnetic effects and viscoelastic memory	5
Rigorous justification of the effective boundary condition on a porous wall via homogenization	5
An age-space structured cholera model linking within- and between-host dynamics with Neumann boundary condition	5
Elastodynamic transformation cloaking for non-centrosymmetric gradient solids	5
Dynamics of a globally modified Navier–Stokes model with double delay	5
Global strong solutions of the 2D tropical climate system with temperature-dependent viscosity	5
On the divergence theorem for submanifolds of Euclidean vector spaces within the theory of second-gradient continua	5
Flamant problem of a cubic quasicrystal half-plane	5
A double-logarithmically improved regularity criterion of weak solutions for the 3D MHD equations	5
Impact of discontinuous harvesting on a diffusive predator–prey model with fear and Allee effect	5
Asymptotic behavior of a quasilinear parabolic–elliptic–elliptic chemotaxis system with logistic source	5
General decay of solutions for a viscoelastic suspension bridge with nonlinear damping and a source term	5
Derivation and numerical validation of the fundamental solutions for constant and variable-order structural derivative advection–dispersion models	5
Non-coercive problems for Kirchhoff–Love plates with thin rigid inclusion	5
Existence and bifurcation of non-constant positive steady states for a tumor–immune model	4
Pseudomomentum: origins and consequences	4
Incompressible limit of the Hookean elastodynamics in a bounded domain	4
Commutator estimates with fractional derivatives and local existence for the generalized MHD equations	4
Orbital stability of peakon solutions for a generalized higher-order Camassa–Holm equation	4
Boundedness in a taxis–consumption system involving signal-dependent motilities and concurrent enhancement of density-determined diffusion and cross-diffusion	4
Qualitative analysis of solutions of obstacle elliptic inclusion problem with fractional Laplacian	4
A study on the critical Kirchhoff problem in high-dimensional space	4
Consistent approximate Q-conditional symmetries of PDEs: application to a hyperbolic reaction-diffusion-convection equation	4
Stability near hydrostatic equilibrium to the three-dimensional Boussinesq equations with partial dissipation	4
Long-time dynamics for a Cahn–Hilliard tumor growth model with chemotaxis	4
Existence and local uniqueness of normalized solutions for two-component Bose–Einstein condensates	4
Coupled plate equations with indirect damping: smoothing effect, decay properties and approximation	4
Global time evolution of concentrated vortex rings	4
An elasto-plastic biphasic model of the compression of multicellular aggregates: the influence of fluid on stress and deformation	4
Boundedness and stabilization in the 3D minimal attraction–repulsion chemotaxis model with logistic source	4
The optimal decay rates for viscoelastic Timoshenko type system in the light of the second spectrum of frequency	4
Approximate controllability for mild solution of time-fractional Navier–Stokes equations with delay	4
Estimations of the parameters of a thermal explosion in a triaxial ellipsoid	4
A continuum model based on Rayleigh dissipation functions to describe a Coulomb-type constitutive law for internal friction in woven fabrics	4
Interaction of elementary waves for the Aw–Rascle traffic flow model with variable lane width	4
Stress analysis in an isotropic hyperbolic rotating disk fitted with rigid shaft	4
Effect of torsion on the initiation of localized bulging in a hyperelastic tube of arbitrary thickness	4
A viscoelastic wave equation with delay and variable exponents: existence and nonexistence	4
Self-weight buckling of thin elastic shells: the case of a spherical equatorial segment	4
General uniqueness results for large solutions	4
Regularity and stability for a plate model involving fractional rotational forces and damping	4
Global weak solutions for a Vlasov–Fokker–Planck/Navier–Stokes system with nonhomogeneous boundary data	4
A gradient electromechanical theory for thin dielectric curved beams considering direct and converse flexoelectric effects	4
A proof of convergence for stochastic gradient descent in the training of artificial neural networks with ReLU activation for constant target functions	4
Some inverse problems for fractional integro-differential equation involving two arbitrary kernels	4
Experimental evaluation of micromorphic elastic constants in foams and lattices	4
Dynamics and pattern formation in a reaction-diffusion-advection mussel–algae model	4
Global well-posedness of 3D magneto-micropolar fluid equations with mixed partial viscosity near an equilibrium	4
Existence and limit behavior of least energy solutions to constrained Schrödinger–Bopp–Podolsky systems in $${\mathbb {R}}^3$$	4
Global well-posedness and decay characterization of solutions to 3D MHD equations with Hall and ion-slip effects	4
Global Solutions to the initial boundary problem of 3-D compressible Navier–Stokes–Poisson on bounded domains	4
On Liouville-type theorems for the stationary MHD and the Hall-MHD systems in $${ \mathbb {R} }^3$$	4
Stoneley waves at the Wiechert condition	4
Boundedness in a higher-dimensional singular chemotaxis-growth system with indirect signal production	4
Exponential stability for the nonlinear Schrödinger equation on a star-shaped network	4
Effects of density-suppressed motility in a two-dimensional chemotaxis model arising from tumor invasion	4
Eshelby’s inclusion problem in large deformations	4
On a two-species chemotaxis-competition system with indirect signal consumption	4
The existence of normalized solutions for a fractional Kirchhoff-type equation with doubly critical exponents	4
Global well-posedness of the 3D generalized MHD equations in Lei–Lin–Gevrey and Lei–Lin spaces	4
Initial-boundary value problem for 2D magneto-micropolar equations with zero angular viscosity	4
Alternative derivation of the higher-order constitutive model for six-parameter elastic shells	4
A simple model of porous media with elastic deformations and erosion or deposition	4
Exponentially slow motion of interface layers for the one-dimensional Allen–Cahn equation with nonlinear phase-dependent diffusivity	4
Strong solutions to the three-dimensional barotropic compressible magneto-micropolar fluid equations with vacuum	3
Soliton and breather solutions of the higher-order modified Korteweg–de Vries equation with constants background	3
$$\varepsilon $$-Regularity criteria in anisotropic Lebesgue spaces and Leray’s self-similar solutions to the 3D Navier–Stokes equations	3
Homogenization of the fluid–structure interaction in acoustics of porous media perfused by viscous fluid	3
The modified generalized Tresca yield condition with application to mode I perfectly plastic crack problems	3
Finite time blow-up for some parabolic systems arising in turbulence theory	3
The Truesdell rate in Continuum Mechanics	3
Characterizing geometrically necessary dislocations using an elastic–plastic decomposition of Laplace stretch	3
Global existence and time decay rates of the two-phase fluid system in $${\mathbb {R}}^3$$	3
Uniform random attractors for a non-autonomous stochastic strongly damped wave equation on $${{\mathbb {R}}}^{{\mathbb {N}}}$$ $$^{\dag }$$	3
On the Poisson equation of p-Laplacian and the nonlinear Hardy-type problems	3
Dynamics of a Lotka–Volterra weak competition model with time delays and free boundaries	3
Unsteady flow of Carreau fluid in a pipe	3
A new computational method-based integral transform for solving time-fractional equation arises in electromagnetic waves	3
Existence and energy decay of a Bresse system with thermoelasticity of type III	3
Asymptotic profiles of a diffusive SIRS epidemic model with standard incidence mechanism and a logistic source	3
Energy decay for a porous-elastic system with nonlinear localized damping	3
Minimization arguments in analysis of variational–hemivariational inequalities	3
On the generalized Magnetohydrodynamics-$$\alpha $$ equations with fractional dissipation in Lei–Lin and Lei–Lin–Gevrey spaces	3
Global analysis of a new reaction–diffusion multi-group SVEIR propagation model with time delay	3
Uniform stability for a semilinear non-homogeneous Timoshenko system with localized nonlinear damping	3
Strong solutions for the compressible barotropic fluid model of Korteweg type in the bounded domain	3
Nonlinear dynamics of origami metamaterials: energetic discrete approach accounting for bending and in-plane deformation of facets	3
Solution for nonvariational quasilinear elliptic systems via sub-supersolution technique and Galerkin method	3
Traveling waves for a nonlocal dispersal predator–prey model with two preys and one predator	3
Domain wall dynamics in cubic magnetostrictive materials subject to Rashba effect and nonlinear dissipation	3
Nonlocal adhesion models for two cancer cell phenotypes in a multidimensional bounded domain	3
Delay-driven spatial patterns in a predator–prey model with constant prey harvesting	3
Stabilization for partially dissipative laminated beams with non-constant coefficients	3