Zeitschrift fuer Angewandte Mathematik und Physik

Article	Citations
Boundedness of the solution to a triply haptotactic cross-diffusion system modeling oncolytic virotherapy	79
The essential spectrum of the volume integral operator in electromagnetic scattering by a homogeneous obstacle with Lipschitz boundary and regularization	46
Regularity of weak solutions for the fractional Camassa–Holm equations	30
A regularity criterion for the 2D inviscid MHD equations	30
Three positive solutions for Kirchhoff equation with singular and sub-cubic nonlinearities	22
Self-organized hydrodynamic model with density-dependent velocity: local well-posedness and the limit from self-organized kinetic model	21
Thermoelastic interactions on temperature-rate-dependent two-temperature thermoelasticity in an infinite medium subjected to a line heat source	21
Friction factor power law with equivalent log law, of a turbulent fully developed flow, in a fully smooth pipe	21
Concentration of solutions for fractional Kirchhoff equations with discontinuous reaction	20
Finite time blow-up for some parabolic systems arising in turbulence theory	19
Can chemotactic effects lead to blow-up or not in two-species chemotaxis-competition models?	18
Domain wall dynamics in cubic magnetostrictive materials subject to Rashba effect and nonlinear dissipation	18
Well-posedness for moving interfaces in anisotropic plasmas	17
Global boundedness and asymptotic behavior in an attraction–repulsion chemotaxis system with nonlocal terms	17
Convergence analysis for elliptic quasivariational inequalities	16
Normalized NLS ground states on a double-plane hybrid	16
A Voigt regularization of the thermally coupled magnetohydrodynamic flow	16
Normalized solutions for a Choquard equation with exponential growth in $$\mathbb {R}^{2}$$	15
Stability and sharp decay for 3D incompressible MHD system with fractional horizontal dissipation and magnetic diffusion	15
Random attractors of fractional p-Laplacian equation driven by colored noise on $${\mathbb {R}}^n$$	15
Multiply-connected complementary Hall plates with extended contacts	15
Dynamics analysis of a reaction-diffusion malaria model accounting for asymptomatic carriers	14
Spatiotemporal dynamics of a competition–competition–predation system with cross-diffusion	14
Decay for the 3D anisotropic MHD-Boussinesq equations near the hydrostatic equilibrium	14
Asymptotics of a chemotaxis-consumption-growth model with nonzero Dirichlet conditions	14

Fractional entropy-based modeling of suspended concentration distribution of type I and type II and sediment discharge in pipe and open-channel turbulent flows	14
Spatial propagation for the lattice competition system in moving habitats $$^\star $$	14
Multiplicity and concentration behavior of solutions for magnetic Choquard equation with critical growth	13
Soliton and breather solutions on the nonconstant background of the local and nonlocal Lakshmanan–Porsezian–Daniel equations by Bäcklund transformation	13
Existence of a positive solution for a class of Schrödinger logarithmic equations on exterior domains	13
On multiplicity and concentration for a magnetic Kirchhoff–Schrödinger equation involving critical exponents in $$\mathbb {R}^{2}$$	13
A continuum model based on Rayleigh dissipation functions to describe a Coulomb-type constitutive law for internal friction in woven fabrics	13
Global existence and uniqueness of the 2D damped wave-type MHD equations	13
Nonlinear dynamics of origami metamaterials: energetic discrete approach accounting for bending and in-plane deformation of facets	13
Global regularity of the 2D generalized MHD equations with velocity damping and Laplacian magnetic diffusion	13
Existence and limit behavior of least energy solutions to constrained Schrödinger–Bopp–Podolsky systems in $${\mathbb {R}}^3$$	13
Remarks on the global regularity issue of the two-and-a-half-dimensional Hall-magnetohydrodynamics system	13
Explicit formula for the $$\Gamma $$-convergence homogenised quadratic curvature energy in isotropic Cosserat shell models	13
Exponential decay for inhomogeneous viscous flows on the torus	13
Semiclassical wave packets for weakly nonlinear Schrödinger equations with rotation	12
Two-particle Motion in a Brinkman Micropolar Medium	12
Multimode long-wave approximation for a viscoelastic coating subject to antiplane shear	12
Energy relation for hydroelastic waves	12
Blow-up results for a fourth-order parabolic equation modeling thin-film growth with logarithmic nonlinearity	12
On Liouville-type theorems for the stationary nematic liquid crystal equations	12
Well-posedness of slightly compressible Boussinesq’s flow in Darcy–Bénard problem	11
Stability analysis of soliton solutions for the Kairat-X equation via a newly proposed WAS neural network method	11
Existence and bifurcation of multichromatic wave trains in the 3D honeycomb lattice structure	11
Global existence and asymptotic stability of solutions to a forager–exploiter model with logistic source	11
Enhancing efficiency in solving coupled Lane–Emden–Fowler equations with a novel Tricomi–Carlitz wavelet method	11
Dynamics of a memory-based competition-diffusion model with spatial heterogeneity	11
Properties of traveling waves in an impulsive reaction–diffusion model with overcompensation	11
Stability and large time decay for the three-dimensional anisotropic magnetohydrodynamic equations	11
Threshold Dynamics of a Chronological Age and Infection Age Structured Cholera Model with Neumann Boundary Condition	11
The Riemann problem for the generalized Chaplygin gas with a potential	11
Ground state solution for a class of Kirchhoff-type equation with general convolution nonlinearity	11
On Choquard problems in $$\mathbb {R}^N$$ influenced by the negative part of the spectrum	10
On the optimal domain for minimizing the buckling load of a clamped plate	10
Cholera dynamics driven by human behavior change via a degenerate reaction-diffusion model	10
FEM–BEM coupling for the thermoelastic wave equation with transparent boundary conditions in 3D	10
Multi-bump solutions for Kirchhoff equation in $$\mathbb {R}^{3}$$	10
A simple flattening lower bound for solutions to some linear integro-differential equations	10
Global smooth solutions of the chemotaxis-SIS epidemic model with nonlinear incidence rate	10
Hyperfoams: Energy dissipation and shock wave formation	10
Small dispersion approximation of shock wave dynamics	10
Boundedness of solutions to a quasilinear parabolic–parabolic chemotaxis model with variable logistic source	10
Exponential crystal relaxation model with p-Laplacian	10
Long-time behavior of delay differential quasi-variational–hemivariational inequalities and application to contact problems	10
Stabilization of the laminated beams by internal and boundary dampings	10
Existence of vortex solitons in nonlocal nonlinear media	9
Scattering of SH waves by lined tunnel in inhomogeneous right-angle space with variable shear modulus	9
Stabilization to a cancer invasion model with remodeling mechanism and slow diffusion	9
Regularity criterion in terms of the oscillation of pressure for the 3D Navier–Stokes equations	9
Global well-posedness and exponential decay of fully dynamic and electrostatic or quasi-static piezoelectric beams subject to a neutral delay	9
On an Ambrosetti–Prodi type problem for a class of fourth-order ODEs involving Dirac weights	9

Delta shock as free piston in pressureless Euler flows	8
Optimal scenario for road evacuation in an urban environment	8
Multiscale modelling of fluid transport in vascular tumours subjected to electrophoresis anticancer therapies	8
Effect of torsion on the initiation of localized bulging in a hyperelastic tube of arbitrary thickness	8
SH waves in a weakly inhomogeneous half space with a nonlinear thin layer coating	8
Dynamics of the prey–predator model with variable coefficients and degenerate diffusion coefficients	8
Einstein’s energy and space isotropy	8
A consistent extension of the Planck–de Broglie relations	8
Hopf bifurcation of a competition–diffusion–advection system with delays in a spatially heterogeneous environment	8
Global solutions of 3D Boussinesq equations for rotating stratified fluids	8
Boundedness in a higher-dimensional singular chemotaxis-growth system with indirect signal production	8
On temperature-rate-dependent two-temperature piezothermoelasticity theory	8
A time-space periodic population growth model with impulsive birth	8
Global dynamics in a chemotaxis system involving nonlinear indirect signal secretion and logistic source	7
Correction to: Pseudomomentum: origins and consequences	7
On a Schrödinger system with shrinking regions of attraction	7
High conversion efficiency of a thermoelectric generator attributed to consistency of material parameters	7
A covariance function with fractal, Hurst, and scale-bridging effects for random surfaces and turbulence	7
Turing-Hopf bifurcation in a diffusive predator-prey model with schooling and transitional herd behavior	7
Fractional wave equation with irregular mass and dissipation	7
Exponential and polynomial decay results for a swelling porous elastic system with a single nonlinear variable exponent damping: theory and numerics	7
Stability and regularity in inverse source problem for generalized subdiffusion equation perturbed by locally Lipschitz sources	7
Attractors and asymptotic behavior for an energy-damped extensible beam model	7
Threshold dynamics of a periodic-delay reaction–diffusion malaria model with Wolbachia incompatible insect technique and vector-bias	7
A spatially variable coupled PDE-based model for image denoising using a split Bregman algorithm	7
An undisclosed restriction of the Fluctuation-Dissipation Theorem for electromagnetic fields	7
Closed-form solutions for harmonic waves in functionally graded rods	7
A free boundary problem with nonlocal diffusion and unbounded initial range	7
Well-posedness and decay rates for 3D generalized rotating MHD equations in critical Fourier–Besov–Morrey spaces	7
Infinitely many cylindrically symmetric solutions of nonlinear Maxwell equations with concave and convex nonlinearities	7
Existence and mass collapse behavior of standing waves for Choquard equation with rotation	7
Shooting for collinear periodic orbits in the Helium model	7
Green’s functions for an anisotropic elastic matrix containing an elliptical incompressible liquid inclusion	7
Mathematical model of thermal breakdown of electrical insulation made of polymer composite	7
Existence and uniqueness of solution to one-dimensional compressible biaxial nematic liquid crystal flows	7
Continuous data assimilation for the three-dimensional planetary geostrophic equations of large-scale ocean circulation	7
Normalized ground states for Sobolev critical NLS system with quadratic interaction	7
Regularity results for 3D shear-thinning fluid flows in terms of the gradient of one velocity component	7
BKM-type blow-up criterion of the inviscid axially symmetric Boussinesq system involving a single component of velocity	7
Mathematical modelling of a slow flameless combustion of a two-dimensional paper	7
Periodically modulated solitary waves of the CH–KP-I equation	7
Kinematics of shock waves in a radiating ideal gas containing dust particles	7
Thermoelastic nature of one-dimensional film of graphene	7
Lamb problem: undersurface invariant stress fields	7
Blow-up profiles for the positive solution of nonlocal dispersal equation	6
Mathematical analysis of a thermodynamically consistent reduced model for iron corrosion	6
Asymptotic limits and attractors for a laminated beam model	6
A new approach to abstract linear viscoelastic equation in Hilbert space	6
Maintenance of global boundedness for a 2D chemotaxis-Navier–Stokes system with strengthened cross-diffusion	6
Global boundedness in an attraction–repulsion chemotaxis-consumption system with Dirichlet boundary conditions for signals	6
Asymptotic stability of a nonlinear wave for the compressible Navier–Stokes–Korteweg equations in the half space	6
Stability of solitary wave solutions in the Lugiato–Lefever equation	6
Stability and Hopf bifurcation analysis of a delayed predator–prey model with age-structure and Holling III functional response	6
Stochastic second-gradient continuum theory for particle-based materials: part II	6
Dynamics and pattern formation in a reaction-diffusion-advection mussel–algae model	6
On the well-posedness of the Cauchy problem for the two-component peakon system in $$C^k\cap W^{k,1}$$	6
Global low-energy weak solutions of the compressible magneto-micropolar fluids in the half-space	6
Physics-Informed Neural Networks for rarefied-gas dynamics: Poiseuille flow in the BGK approximation	6
A short remark on inviscid limit of the stochastic Navier–Stokes equations	6
Normalized solutions for critical Schrödinger–Poisson system involving p-Laplacian in $${\mathbb {R}}^3$$	6
Computational insights into orthotropic fracture: crack-tip fields in strain-limiting materials under non-uniform loads	6
Variational formulation for fractional hyperbolic problems in the theory of viscoelasticity	6
The propagation and collision behavior of $$\varvec{\delta }'$$ waves in a model of three partial differential equations	6
Eventual smoothness in a chemotaxis-Navier–Stokes system with indirect signal production involving Dirichlet signal boundary condition	6
Impact of surface chemical reaction on droplet dynamics	6
Global weak solutions in a 3D chemotaxis-Stokes system with doubly degenerate diffusion	6
Asymptotic synchronization of Kuramoto oscillators with time delay and non-universal interaction	6
Traveling waves of an epidemic model with general nonlinear incidence rate and infection-age structure	6
Guided waves in FG plates: appearing phase velocity gaps	6
The symmetrical rate-equations of particle–wave mechanics	6
Semi-analytical solution of unsteady one-dimensional sediment transport model through time fractional ADE	6
Periodic homogenization in the context of structured deformations	5
Spatial dynamics of a viral infection model with immune response and nonlinear incidence	5
Quasi-geostrophic limit of the viscous Boussinesq equations in periodic channel domain	5
Optimization of an architected composite with tailored graded properties	5
Interface crack behaviors disturbed by Love waves in a 1D hexagonal quasicrystal coating–substrate structure	5
Wave diffraction from the truncated hollow wedge: analytical regularization and Wiener–Hopf analysis	5
Thermodynamics of viscoelastic solids, its Eulerian formulation, and existence of weak solutions	5
Asymptotics toward rarefaction wave for the inflow problem of the two-fluid quantum Navier–Stokes–Poisson system	5
Threshold dynamics of a reaction–diffusion equation model for cholera transmission with waning vaccine-induced immunity and seasonality	5

Adaptive temporal mesh equidistribution for studying the singularly perturbed delay-in-time parabolic equations	5
A two-strain reaction–diffusion malaria model with seasonality and vector-bias	5
Finite-time blow-up of solution for a chemotaxis model with singular sensitivity and logistic source	5
The modified generalized Tresca yield condition with application to mode I perfectly plastic crack problems	5
Global classical solutions to an indirect chemotaxis-consumption model with signal-dependent degenerate diffusion and logistic source	5
Mathematical modeling and homogenization of thin fiber-reinforced hydrogels	5
On well-posedness of generalized Hall-magneto-hydrodynamics	5
Manipulation of optical spherical solitons under Kerr nonlinearity and Compton scattering in atomic medium	5
On the convergence rates of multi-dimensional subsonic irrotational flows in unbounded domains	5
On semilinear elliptic equation with negative exponent arising from a closed MEMS model	5
Existence and concentration behavior of solutions for the logarithmic Schrödinger–Poisson system with steep potential	5
Geometric non-locality in multi-scale models of manifold-valued microstructures	5
Global existence and boundedness in a chemotaxis system involving indirect production/consumption mechanism and signal-dependent motility	5
Refining boundary value problems in non-local micropolar mechanics	5
Stability of piezoelectric beam with magnetic effect under (Coleman or Pipkin)–Gurtin thermal law	5
Global classical solutions for chemotaxis-fluids system with mixed boundary conditions	5
Visco-elastodynamics at large strains Eulerian	5
Well-posedness and wave breaking phenomena for the modified two-component Camassa–Holm system	5
A semilinear interface elliptic equation with sublinear and logistic reactions terms	5
Boundedness in a two-dimensional two-species cancer invasion haptotaxis model without cell proliferation	5
Existence of positive solutions for fractional Kirchhoff equation	5
Dynamics in two-predator and one-prey models with signal-dependent motility	5
Sharp blowup result for the inhomogeneous NLS equation with inverse-square potential	5
An accurate and robust numerical method for solving distributed-order space–time fractional PDEs	5
The role of strong Allee effect and protection zone on a diffusive prey–predator model	5
Functional adaptation of bone mechanical properties using a diffusive stimulus originated by dynamic loads in bone remodelling	5
Blow-up prevention by indirect signal production mechanism in a two-dimensional Keller–Segel–(Navier–)Stokes system	5
Dynamics of a globally modified Navier–Stokes model with double delay	5
(2+1)-dimensional three-wave resonant interaction systems: general higher-order semi-rational solutions and their dynamic behaviors	5
Blow-up results for the semilinear Schrödinger equations with forcing and gradient terms: the critical cases	5
A two-strain malaria transmission model with seasonality and incubation period	5
Long-term dynamics of Duffing-type equations with applications to suspension bridges	5
Critical and supercritical problems influenced by the negative part of the spectrum	5
Moment propagation of a Vlasov-Poisson system for ion flow in the quasi-neutral regime	5
Incremental bending of a three-dimensional beam with circular cross section into a regular helix using Castigliano’s second theorem	4
A new example for the Lavrentiev phenomenon in nonlinear elasticity	4
Bifurcation analysis and pattern formation of predator–prey dynamics with Allee effect in predator population	4
Rigid body in compressible flow with general inflow–outflow boundary data	4
Dynamic behavior of an age-structured houseflies model with nonconstant fertility	4
Ill-posedness of the hyperbolic Keller-Segel model in Besov spaces	4
Global well-posedness and $$L^2$$ decay estimate of smooth solutions for 2D incompressible Navier–Stokes–Allen–Cahn system	4
Convergence rates of solutions to the compressible Hookean elastodynamics	4
Estimates of the gaps between consecutive eigenvalues for a class of elliptic differential operators in divergence form on Riemannian manifolds	4
Global well-posedness and asymptotic behavior of stochastic mKdV equation with fractional dissipation	4
Limit stationary statistical solutions of stochastic Navier–Stokes–Voigt equation in a 3D thin domain	4
Asymptotic corrections to the low-frequency theory for a cylindrical elastic shell	4
Deformation-induced coupling of the generalized external actions in third-gradient materials	4
Dynamical analysis of an age-structured SEIR model with relapse	4
Frictional continuous contact problem of thermoelectric materials loaded by a rigid indenter	4
Analysis of transmission and reflection characteristics of linear plane waves in pantographic lattices	4
Stability and analyticity analysis in nonlocal Mindlin’s strain gradient thermoelasticity with voids and second sound	4
On steady solutions of the Hall-MHD system in Besov spaces	4
Imperfect interface models for elastic structures bonded by a strain gradient layer: the case of antiplane shear	4
Soliton and breather solutions of the higher-order modified Korteweg–de Vries equation with constants background	4
The integrable Rosenau–Hyman equations: analysis, symmetries, and their geometric content	4
Harmonic acoustic waves in FG rods with exponential inhomogeneity	4
Vectfem: a generalized MATLAB-based vectorized algorithm for the computation of global matrix/force for finite elements of any type and approximation order in linear elasticity	4
On fundamental solution of Moore–Gibson–Thompson (MGT) thermoelasticity theory	4
Regularity criteria for 3D Hall-MHD equations	4
Asymptotic stability of a nonlinear wave for an outflow problem of the bipolar Navier–Stokes–Poisson system under large initial perturbation	4
Mathematical derivation of a Reynolds equation for magneto-micropolar fluid flows through a thin domain	4
Nonstationary heat conduction inducing either fluid reservoir or thin layer heating	4
On a two-species chemotaxis-competition system with indirect signal consumption	4
On the Matukuma equation in $$\textbf{R}^n$$ and beyond	4
Life span bounds for reaction–diffusion equation with a space–time integral source term	4
Dynamics of a nonlocal phytoplankton species with nonlinear boundary conditions	4
Global time evolution of concentrated vortex rings	4
In memoriam: Alfred Kluwick (1942–2022)	4
Effective approximation for a nonlocal stochastic Schrödinger equation with oscillating potential	4
Global classical solutions to a chemotaxis consumption system with nonlinear sensitivity and signal consumption	4
Dynamics of a Leslie–Gower predator–prey system with cross-diffusion in spatially heterogeneous environment	4
Investigating novel optical soliton solutions for a generalized (3+1)-dimensional q-deformed equation	4
Global boundedness and large time behavior in a chemotaxis system with indirect signal consumption	4
Concentration of solutions for non-autonomous double-phase problems with lack of compactness	4
Boundedness and asymptotic stability of solutions in an alopecia areata chemotaxis system with signal-dependent sensitivity	4
Stability in the fractional order for space-time stochastic fractional reaction-diffusion equations with colored noise	4
Self-weight buckling of thin elastic shells: the case of a spherical equatorial segment	4
Homogenization of the non-isothermal, non-Newtonian fluid flow in a thin domain with oscillating boundary	4
Compressible Navier–Stokes system with the hard sphere pressure law in an exterior domain	4
Sharp decay estimates and asymptotic behaviour for 3D magneto-micropolar fluids	4
Fractional analysis of the (2+1) $$\mathfrak {q}$$-deformed tanh-Gordon equation with optimal homotopy with $$\mathbb {J}$$-transform	4
Nonlinear Guyer–Krumhansl equation and its boundary conditions in nanolayers	4
A power-law model for nonlinear phonon hydrodynamics	4
Stress analysis for a lip-shaped crack in a thermoelectric plate under combined electrical and thermal loadings	3
Global boundedness and large time behavior in a signal-dependent motility system with nonlinear signal consumption	3
Spreading speeds determinacy for a cooperative Lotka–Volterra system with stacked fronts	3
One-dimensional nonlocal elastodynamics: constitutive modeling, hyperbolicity, Riemann invariants, characteristic directions	3
Mass threshold of the limit behavior of normalized solutions for the Chern–Simons–Schrödinger equations with combined nonlinearities	3
On the well-posedness and general decay results of Moore–Gibson–Thompson equation with memory	3
Non-uniqueness of transonic shock solutions to non-isentropic Euler–Poisson system with varying background charges	3
Dynamics and spatial profiles of an SIS epidemic model with varying total population and spatiotemporal heterogeneity	3
Critical velocities of a two-layer composite tube incorporating the effects of transverse shear, rotary inertia and material anisotropy	3
Maximum mechano-damage power release-based phase-field modeling of mass diffusion in damaging deformable solids	3
Large global solutions to 3D Boussinesq equations slowly varying in one direction	3
Nonfailure operating time of ideal elastoplastic structures under close-to-ultimate loads	3