Nonlinear Analysis-Real World Applications

Article	Citations
Two models for sandpile growth in weighted graphs	48
Periodic solutions of discontinuous second order differential equations. The porpoising effect	37
Ambrosetti–Prodi problems for the Robin (p,	37
Finite-time blowup in attraction–repulsion systems with nonlinear signal production	37
Coexistence of two species with intra- and interspecific competition in an unstirred chemostat	33
On a Stokes hemivariational inequality for incompressible fluid flows with damping	32
Singular non-autonomous (p,q<	30
Stability analysis of traveling wave fronts in a model for tumor growth	28
Two point boundary value problems for ordinary differential systems with generalized variable exponents operators	27
On a planar equation involving (2,	26
Qualitative behavior of solutions of Liénard-type systems with state-dependent impulses	26
Existence of the backward bifurcation of a non-markovian SIS-network model with saturation treatment function	24
Entropy and renormalized solutions to the general nonlinear elliptic equations in Musielak–Orlicz spaces	23
Analysis of a free boundary problem for vascularized tumor growth with a necrotic core and time delays	22
Analysis of a mathematical model arising from stage-structured predator–prey in a chemostat	21
Global boundedness and stability of a predator–prey model with alarm-taxis	21
Global dynamics of a three-species spatial food chain model with alarm-taxis and logistic source	21
Global weak solutions to the Novikov equation by viscous approximation	20
A regularity criterion for 3D shear thinning fluids in terms of the direction of vorticity	20
On variational inequalities on exterior domains with multivalued convection terms	19
On a limiting system of the triangular SKT competition model with large cross-diffusion and random-diffusion	18
Editorial Board	18
A family of predictor–corrector schemes for a class of variational inequalities	18
The Fokker–Planck–Boltzmann equation in low regularity space	17
Dynamics of a predator–prey system with inducible defense and disease in the prey	17

The existence of minimal large positive solutions for a class of nonlinear cooperative systems	17
A generalized Duffing equation with the Coulomb’s friction law and Signorini–type contact conditions	17
The effect of protection zone on asymptotic dynamics of a reaction–diffusion model with a free boundary or unbounded boundary	17
Gap functions and global error bounds for differential variational–hemivariational inequalities	17
A bifurcation phenomenon in a singularly perturbed two-phase free boundary problem of phase transition	16
Hamiltonian regularisation of the unidimensional barotropic Euler equations	16
The existence and linear stability of periodic solution for a free boundary problem modeling tumor growth with a periodic supply of external nutrients	15
Global boundedness in a chemotaxis quasilinear parabolic predator–prey system with pursuit-evasion	15
Non-uniform dependence on initial data for the Benjamin–Ono equation	14
Diffusion–convection reaction equations with sign-changing diffusivity and bistable reaction term	14
Construction of quasi-periodic solutions for nonlinear forced perturbations of dissipative Boussinesq systems	14
Editorial Board	14
Global well-posedness and time decay for 2D Oldroyd-B-type fluids in periodic domains with dissipation in the velocity equation only	13
Propagation dynamics of a nonlocal periodic organism model with non-monotone birth rates	13
Global well-posedness and inviscid limits of the generalized Oldroyd type models	13
Global existence for a highly nonlinear temperature-dependent system modeling nonlocal adhesive contact	13
Boundary null controllability of degenerate heat equation as the limit of internal controllability	13
Energy equality for the 3D inhomogeneous Navier–Stokes equations in Lorentz–Besov spaces	12
Editorial Board	12
Rigidity of three-dimensional steady internal waves with constant vorticity governed by the	12
Dynamic behavior of reaction–diffusion equation with Holling II predation	12
Long-time dynamics of classical Keller–Segel equation	12
Shape sensitivity analysis of an elastic contact problem: Convergence of the Nitsche based finite element approximation	12
Editorial Board	11
Convergence rate toward shock wave under periodic perturbation for generalized Korteweg–de Vries–Burgers equation	11
Editorial Board	11
Nontrivial solutions to affine p-Laplace equations via a perturbation	11
Linear stability for a periodic tumor angiogenesis model with free boundary	10
Forced waves and gap formations for a Lotka–Volterra competition model with nonlocal dispersal and shifting habitats	10
A class of history-dependent systems of evolution inclusions with applications	10
Robin double-phase problems with singular and superlinear terms	10
Stability of Hartmann shear flows in an open inclined channel	10
Quadratic slow-fast systems on the plane	10
Global existence of weak solutions to a diffuse interface model for magnetic fluids	10
Dynamics of a predator–prey model with nonlinear growth rate and B–D functional response	10
Some new regularity criteria for the Navier–Stokes equations in terms of one directional derivative of the velocity field	10
On the Cauchy problem for semilinear regularity-loss-type σ-evolution	10
Multi-component Gerdjikov–Ivanov system and its Riemann–Hilbert problem under zero boundary conditions	9
Global boundedness and stability of solutions for prey-taxis model with handling and searching predators	9
On the stability of the improved Aw–Rascle–Zhang model with Chaplygin pressure	9
Nonexistence of global solutions for generalized Tricomi equations with combined nonlinearity	9
The time periodic problem of the Navier–Stokes equations in a bounded domain with moving boundary	9
Mathematical analysis of a tumor invasion model—global existence and stability	9
Bifurcation analysis in a diffusive Logistic population model with two delayed density-dependent feedback terms	9
Bifurcation of equilibrium forms of a gas column rotating with constant speed around its axis of symmetry	9
Large time behavior in a fractional chemotaxis–Navier–Stokes system with logistic source	9
Global existence and asymptotic behavior of a two-species competitive Keller–Segel system on	9
Global existence of weak solutions to a signal-dependent Keller–Segel model for local sensing chemotaxis	9
The Cauchy problem for fractional Camassa–Holm equation in Besov space	9
Global boundedness and stabilization in a forager–exploiter model with logistic growth and nonlinear resource consumption	8

Existence of positive periodic solutions of several types of biological models with periodic coefficients	8
Nodal solutions for anisotropic (p,	8
Attractors for the inhomogeneous incompressible Navier–Stokes flows	8
Stability of viscous contact wave for the radiative and reactive gas with free boundary	8
A nonlinear model for marble sulphation including surface rugosity and mechanical damage	8
Singular properties of solutions for a parabolic equation with variable exponents and logarithmic source	8
On globally large smooth solutions of full compressible Navier–Stokes equations with moving boundary and temperature-dependent heat-conductivity	8
Exploring the dynamics of African swine fever transmission cycles at a wildlife-livestock interface	8
Critical mass phenomenon in a chemotaxis fluid system	8
Some symmetry properties of gyre flows	8
A model for lime consolidation of porous solids	8
Analysis on a diffusive two-stage epidemic model with logistic growth and saturated incidence rates	8
Scattering below the ground state for the intercritical non-radial inhomogeneous NLS	8
Anisotropic Chan–Vese segmentation	7
A migration-selection model in genetic engineering	7
Global dynamics of two-strain epidemic model with single-strain vaccination in complex networks	7
Weak solutions to the generalized Navier–Stokes equations with mixed boundary conditions and implicit obstacle constraints	7
The logistic problem with nonlinear directed advection	7
Bifurcation analysis of a predator–prey model with memory-based diffusion	7
Low Mach number limit of the compressible Navier–Stokes–Cattaneo equations with general initial data	7
Blow-up solutions of a chemotaxis model with nonlocal effects	7
Fractional regularity for conservation laws with discontinuous flux	7
Gradient recovery type a posteriori error estimates of virtual element method for an elliptic variational inequality of the second kind	7
Existence and asymptotic properties of aerotaxis model with the Fokker–Planck type diffusion	7
Quasi-neutral limit for the full Euler–Poisson system in one-dimensional space	7
Weakly nonlinear analysis of a two-species non-local advection–diffusion system	6
Boundedness in a two-dimensional attraction–repulsion Navier–Stokes system with consumption of chemoattractant and sub-quadratic degradation	6
The vanishing relaxation time behavior of multi-term nonlocal Jordan–Moore–Gibson–Thompson equations	6
Boundedness of weak solutions to a 3D chemotaxis-Stokes system with slow p	6
On the long-time behaviour of solutions to unforced evolution Navier–Stokes equations under Navier boundary conditions	6
Coefficient identification of the regularized p-Stokes equations	6
Global well-posedness for a family of regularized Benjamin-type equations	6
Formation of singularities in solutions to nonlinear hyperbolic systems with general sources	6
Convergence to a terrace solution in multistable reaction–diffusion equation with discontinuities	6
Phase separation and morphology formation in interacting ternary mixtures under evaporation: Well-posedness and numerical simulation of a non-local evolution system	6
On the five Lagrange points in a generalized surface quasi-geostrophic flow	6
Bifurcation of limit cycles from a periodic annulus formed by a center and two saddles in piecewise linear differential system with three zones	6
Global well-posedness and vanishing parameters limits for the systems of ferrohydrodynamics	6
Global bounded weak solution for a 3D chemotaxis-Stokes system with slow 6
A Liouville-type theorem for the stationary MHD equations	6
Spreading speed and traveling wave solutions of a reaction–diffusion Zika model with constant recruitment	6
Stability of the Couette flow for the two dimensional Chemotaxis-Navier–Stokes system	6
Optimal decay rates and space–time analyticity of solutions to the Patlak-Keller–Segel equations	6
Proof of two conjectures for perturbed piecewise linear Hamiltonian systems	6
Homogenization of high-contrast media in finite-strain elastoplasticity	6
Spectral analysis of the Neumann–Poincaré operator on the crescent-shaped domain and touching disks and analysis of plasmon resonance	5
Avian–human influenza epidemic model with diffusion, nonlocal delay and spatial homogeneous environment	5
New generalization of non-autonomous Bernfeld–Haddock conjecture and its proof	5
Existence and asymptotical behavior of solutions of a class of parabolic systems with homogeneous nonlinearity	5
Boundary optimal control problem of semi-linear Kirchhoff plate equation	5
Blow-up for the Timoshenko-type equation with variable exponents	5
Zero-Hopf bifurcation in a 3D jerk system	5
Iso-bispectral potentials for Sturm–Liouville-type operators with small delay	5
Uniqueness and energy balance for isentropic Euler equation with stochastic forcing	5
Effect models for the stationary Navier–Stokes fluid in a porous medium with different scales	5
Suppression of blowup by slightly superlinear degradation in a parabolic–elliptic Keller–Segel system with signal-dependent motility	5
On an anisotropic double phase problem with singular and sign changing nonlinearity	5
Analysis of a chemotaxis-SIS epidemic model with unbounded infection force	5
On the existence of radial solutions to a nonlinear k-Hessian system w	5
Spreading dynamics for an epidemic model of West-Nile virus with shifting environment	5
On mathematical analysis of synchronization of bidirectionally coupled Kuramoto oscillators under inertia effect	5
Global well-posedness for the three dimensional compressible micropolar equations	5
Existence and uniqueness of maximal strong solution of a 1D blood flow in a network of vessels	5
Chemotactic cell aggregation viewed as instability and phase separation	5
Stability for systems of 1-D coupled nonlinear oscillators	5
A note on “Existence and uniqueness of coexistence states for an elliptic system coupled in the linear part”, by Hei Li-jun, Nonlinear Anal. Real World Appl. 5, 2004	5
Finite-time blow-up and boundedness in a quasilinear attraction–repulsion chemotaxis system with nonlinear signal productions	5
A reaction–diffusion vector-borne disease model with incubation period in almost periodic environments	5
Dynamics of a competing two-strain SIS epidemic model with general infection force on complex networks	5
Decay mild solutions of Hilfer fractional differential variational–hemivariational inequalities	5
Editorial Board	5
Dynamic bifurcation of nonautonomous evolution equations under Landesman–Lazer condition with cohomology methods	5
Local in time solution to an integro-differential system for motion with large deformations and defects	5
Enriched spatiotemporal dynamics of a model of Ebola transmission with a composite incidence function and density-independent treatment	5
Strong solutions of impulsive pseudoparabolic equations	5
Global solutions to the ideal MHD system with a strong magnetic background	5
Notes on symmetry in convective flows	5
A topological approach to the problem of chaotic tides	5
Global boundedness in a two-species attraction–repulsion chemotaxis system with two chemicals and nonlinear productions	4
Wave-breaking phenomena for the generalized Camassa–Holm equation with dual-power nonlinearities	4

Sharp critical thresholds for a class of nonlocal traffic flow models	4
Stability of rarefaction waves for the non-cutoff Vlasov–Poisson–Boltzmann system with physical boundary	4
Editorial Board	4
Editorial Board	4
Ekman layer of rotating stratified viscous Boussinesq equations in rotation-dominant limit	4
Regularity estimates for the parabolic p(	4
Rigorous derivation and well-posedness of a quasi-homogeneous ideal MHD system	4
Existence of solution for a singular elliptic system with convection terms	4
Monotone iterative method of upper and lower solutions applied to a multilayer combustion model in porous media	4
Boundedness and large time behavior for a chemotaxis system with signal-dependent motility and indirect signal consumption	4
The local well-posedness of the coupled Ostrovsky system with low regularity	4
Optimal decay rate of the incompressible Navier–Stokes–Maxwell system with Ohm’s law	4
Evolution dynamics of a time-delayed reaction–diffusion HIV latent infection model with two strains and periodic therapies	4
Optimal sparse boundary control of cardiac defibrillation	4
The global classical solution to compressible system with fractional viscous term	4
On partial regularity for weak solutions to the 3D co-rotational Beris–Edwards system	4
Editorial Board	4
Uniform in time solutions for a chemotaxis with potential consumption model	4
On heterogeneous radially symmetric semilinear elliptic equations with critical nonlinearities in	4
Analysis of a new multispecies tumor growth model coupling 3D phase-fields with a 1D vascular network	4
Editorial Board	4
Analysis of a nonlinear free-boundary tumor model with angiogenesis and a connection between the nonnecrotic and necrotic phases	4
Special issue on the occasion of the 70th birthday of Professor Siegfried Carl	4
Existence and uniqueness of strong solutions for the system of interaction between a compressible Navier–Stokes–Fourier fluid and a damped plate equation	4
The effects of degeneracy on nonlocal dispersal logistic equations	4
Determination of unknown thermal coefficients in a non-classical Stefan problem	4
On Lewy Stampacchia inequalities for a pseudomonotone parabolic obstacle problem with	4
Topological properties of solution sets for nonlinear evolution hemivariational inequalities and applications	4
Periodic solutions to history-dependent differential hemivariational inequalities with applications	4
On a thermo-viscoelastic system with variable exponent sources	4
Non-uniform dependence for higher dimensional Camassa–Holm equations in Besov spaces	4
SIS reaction–diffusion model with risk-induced dispersal under free boundary	4
Criteria of uniqueness of limit cycle in a resonant-tunneling dynamic system	4
Existence results for a nonlinear coupled radiative–conductive heat transfer system	4
Controllability for semilinear heat equation with globally Lipschitz nonlinearities and memory term	4
An inverse problem for supersonic flow past a curved wedge	4
A nonlinear viscoelastic plate equation with	4
Global existence, uniqueness and exponential stability of solutions for the one-dimensional Navier–Stokes equations with capillarity	4
Well-posedness and simulation results of a coupled denoising PDE	4
On viscous incompressible flows of nonsymmetric fluids with mixed boundary conditions	4
Extremal functions for a supercritical k-Hessian inequality of Sobolev	3
Behavior in time of solutions to a degenerate chemotaxis system with flux limitation	3
Grow-up of weak solutions in a p-Laplacian pseudo-parabolic problem	3
Self-similar solutions for the heat equation with a positive non-Lipschitz continuous, semilinear source term	3
Regularity for the steady Stokes-type flow of incompressible Newtonian fluids in some generalized function settings	3
Global stability of SAIRS epidemic models	3
On the control issues for higher-order nonlinear dispersive equations on the circle	3
Erratum to “Chemotaxis systems with singular sensitivity and logistic source: Boundedness, persistence, absorbing set, and entire solutions” [Nonlinear Anal. Real World Appl. 69 (2023) 27]	3
Numerical analysis of a family of simultaneous distributed-boundary mixed elliptic optimal control problems and their asymptotic behaviour through a commutative diagram and error estimates	3
Well-posedness of constrained evolutionary differential variational–hemivariational inequalities with applications	3
The Boltzmann equation for plane Couette flow in a finite channel	3
Asymptotic stability of a stationary solution for the bipolar full Euler–Poisson equation in a bounded domain	3
A deep neural network-based method for solving obstacle problems	3
Global existence and stabilization in a diffusive predator–prey model with population flux by attractive transition	3
Spatio-temporal dynamics of a reaction–diffusion–advection food-limited system with nonlocal delayed competition and Dirichlet boundary condition	3
On the two and one-half dimensional Vlasov–Poisson system with an external magnetic field: Global well-posedness and stability of confined steady states	3
Global well-posedness and large time behavior for the inviscid Oldroyd-B model	3
Threshold dynamics of a bat-borne rabies model with periodic incubation periods	3
Local stability and topological structure of completely integrable differential systems	3
A geometric analysis of the SIR, SIRS and SIRWS epidemiological models	3
A general theory for the (s,	3
Global weak solutions in a singular taxis-type system with signal consumption	3
A model for assisted periodic breathing with degenerate permeability	3
Global conservative solution for the periodic dispersive Hunter–Saxton equation	3
Asymptotic behavior of non-autonomous Lamé systems with subcritical and critical mixed nonlinearities	3
Boundedness of solutions in a predator–prey system with density-dependent motilities and indirect pursuit–evasion interaction	3
Chemotaxis systems with singular sensitivity and logistic source: Boundedness, persistence, absorbing set, and entire solutions	3
Global existence, blow-up and dynamical behavior in a nonlocal parabolic problem with variational structure	3
Ill-posedness for the Euler equations in Besov spaces	3
Optimal control problems for the reaction–diffusion–convection equation with variable coefficients	3
Dynamics of an HIV infection model with virus diffusion and latently infected cell activation	3
General decay results for a viscoelastic wave equation with the logarithmic nonlinear source and dynamic Wentzell boundary condition	3
Non-uniform continuous dependence on initial data for a two-component Novikov system in Besov space	3
Agent-based pattern formation in a chemostat system with asymmetric dispersal	3
Existence and non-existence of solutions for Timoshenko-type equations with variable exponents	3
Time geodesics on a slippery cross slope under gravitational wind	3
Dynamical behaviors of a classical Lotka–Volterra competition–diffusion–advection system	3
Rotation number and eigenvalues of two-component modified Camassa–Holm equations	3
On the incompressible and non-resistive limit of 3D compressible magnetohydrodynamic equations in bounded domains	3
Existence of periodic and solitary waves of a Boussinesq equation under perturbations	3
Global boundedness and the Allee effect in a nonlocal bistable reaction–diffusion equation in population dynamics	3
Global existence of bounded solutions to the relativistic BGK model	3
Regularity results for solutions to a class of non-autonomous obstacle problems with sub-quadratic growth conditions	3
Competitive exclusion in a nonlocal reaction–diffusion–advection model of phytoplankton populations	3
Long time behavior for the critical modified surface quasi-geostrophic equation	3
Local Lipschitz continuity for energy integrals with slow growth and lower order terms	3
A class of nonlinear parabolic systems having standard growth and L	3
Elliptic differential inclusions on non-compact Riemannian manifolds	3
A hybrid Krasnosel’skiĭ-Schauder fixed point theorem for systems	3
The Riemann problem for the nonisentropic Baer–Nunziato model of two-phase flows	3
Boundedness and asymptotic behavior in a quasilinear chemotaxis system for alopecia areata	3
Sensitivity analysis of the non-linear Fokker–Planck equations with uncertainty	3
On decay properties for solutions of the Zakharov–Kuznetsov equation	3
Global and exponential attractors for mixtures of solids with Fourier’s law	3
Analysis of a degenerate reaction–diffusion anthrax model with spatial heterogeneity	3