Nonlinear Analysis-Real World Applications

Papers
(The TQCC of Nonlinear Analysis-Real World Applications is 4. The table below lists those papers that are above that threshold based on CrossRef citation counts [max. 250 papers]. The publications cover those that have been published in the past four years, i.e., from 2021-06-01 to 2025-06-01.)
ArticleCitations
The effect of protection zone on asymptotic dynamics of a reaction–diffusion model with a free boundary or unbounded boundary41
Propagation dynamics of a nonlocal periodic organism model with non-monotone birth rates40
Editorial Board37
Proof of two conjectures for perturbed piecewise linear Hamiltonian systems36
Spreading speed and traveling wave solutions of a reaction–diffusion Zika model with constant recruitment34
Quasi-neutral limit for the full Euler–Poisson system in one-dimensional space29
Existence of positive periodic solutions of several types of biological models with periodic coefficients27
Blow-up solutions of a chemotaxis model with nonlocal effects26
Critical mass phenomenon in a chemotaxis fluid system26
Gap functions and global error bounds for differential variational–hemivariational inequalities23
The existence of minimal large positive solutions for a class of nonlinear cooperative systems23
Optimal decay rates and space–time analyticity of solutions to the Patlak-Keller–Segel equations23
Some new regularity criteria for the Navier–Stokes equations in terms of one directional derivative of the velocity field22
Enriched spatiotemporal dynamics of a model of Ebola transmission with a composite incidence function and density-independent treatment22
Nonexistence of global solutions for generalized Tricomi equations with combined nonlinearity21
Phase separation and morphology formation in interacting ternary mixtures under evaporation: Well-posedness and numerical simulation of a non-local evolution system21
Global boundedness and the Allee effect in a nonlocal bistable reaction–diffusion equation in population dynamics20
Global dynamics of a three-species spatial food chain model with alarm-taxis and logistic source20
Dynamical behaviors of a classical Lotka–Volterra competition–diffusion–advection system20
Dynamics of a predator–prey model with nonlinear growth rate and B–D functional response20
Sensitivity analysis of the non-linear Fokker–Planck equations with uncertainty19
Dynamics of an HIV infection model with virus diffusion and latently infected cell activation19
Regularity estimates for the parabolic p(18
Existence results for a nonlinear coupled radiative–conductive heat transfer system17
Wave-breaking phenomena for the generalized Camassa–Holm equation with dual-power nonlinearities17
Behavior in time of solutions to a degenerate chemotaxis system with flux limitation17
Global existence of bounded solutions to the relativistic BGK model17
Well-posedness of constrained evolutionary differential variational–hemivariational inequalities with applications16
The local well-posedness of the coupled Ostrovsky system with low regularity16
The global classical solution to compressible system with fractional viscous term15
Second-order differential inclusions with two small parameters15
Dynamics of a competing two-strain SIS epidemic model with general infection force on complex networks15
Homogenization of nonisothermal immiscible incompressible two-phase flow in double porosity media15
Limit cycle bifurcations of planar piecewise differential systems with three zones15
Editorial Board14
Blow-up and lifespan estimates of solutions to semilinear Moore–Gibson–Thompson equations14
Persistence and zero-Hopf equilibrium in the tritrophic food chain model with Holling functional response14
The Picone identity: A device to get optimal uniqueness results and global dynamics in Population Dynamics14
The role of manipulative trophically transmitted parasites in the stability of a predator–prey community14
Invasion entire solutions for two-species diffusive monostable competitive systems13
On a Lotka–Volterra weak competition system with Robin and free boundary conditions13
Global dynamics of diffusive Hindmarsh–Rose equations with memristors13
The diffusive Lotka–Volterra competition model in fragmented patches I: Coexistence13
Dynamics of a reaction–diffusion waterborne pathogen model with free boundaries13
Rayleigh–Taylor instability of 3D inhomogeneous incompressible Euler equations with damping in a horizontal slab12
Global well-posedness of Chemotaxis-Navier–Stokes system with refined rough initial data in12
Large relaxation oscillation in slow–fast excitable Brusselator oscillator12
Existence of local suitable weak solutions to the Navier–Stokes equations for initial data in 12
Two-phase Stefan problem for generalized heat equation with nonlinear thermal coefficients11
A simple proof of uniqueness for the nonlocal positive solutions11
Homogenization of a nonlinear monotone problem in a locally periodic domain via unfolding method11
Homogenization of a nonlinear drift–diffusion system for multiple charged species in a porous medium11
Editorial Board11
Global dynamics and zero-diffusion limit of a parabolic–elliptic–parabolic system for ion transport networks11
On the number of limit cycles in piecewise smooth generalized Abel equations with two asymmetric zones11
Numerical analysis of a non-clamped dynamic thermoviscoelastic contact problem10
Existence of positive and nonnegative eigenfunctions for a fourth order operator with definite and indefinite weights10
Global bifurcation in a toxin producing phytoplankton–zooplankton system with prey-taxis10
A necessary condition for extremality of solutions to autonomous obstacle problems with general growth10
A note to semilinear de Sitter models in 1d with balanced mass and dissipation10
Sobolev hyperbola for periodic Lane–Emden heat flow system in N spatial dimension10
Axi-symmetric solutions for active vector models generalizing 3D Euler and electron–MHD equations10
On a multiple time-scales perturbation analysis of a Stefan problem with a time-dependent Dirichlet boundary condition10
On a bi-stability regime and the existence of odd subharmonics in a Comb-drive MEMS model with cubic stiffness10
Blow-up for a pseudo-parabolic equation with variable nonlinearity depending on 10
Persistence and positive steady states of a two-stage structured population model with mixed dispersals10
Identification of the minimum value of reservoir permeability in nonlinear single phase mud filtrate invasion model9
Asymptotic behaviour of general nonautonomous Nicholson equations with mixed monotonicities9
Large Ericksen number limit for the 2D general Ericksen–Leslie system9
Higher order asymptotic expansions for the convection–diffusion equation in the Fujita-subcritical case9
An improved spatially controlled reaction–diffusion equation with a non-linear second order operator for image super-resolution9
Improvement of several regularity criteria for the Navier–Stokes equations9
Boundedness and persistence of traveling wave solutions for a non-cooperative lattice-diffusion system with time delay9
Self-similar solutions, regularity and time asymptotics for a nonlinear diffusion equation arising in game theory9
Linearizability of planar polynomial Hamiltonian systems9
Small-signal solutions of a two-dimensional doubly degenerate taxis system modeling bacterial motion in nutrient-poor environments9
Leray–Hopf solutions to a viscoelastoplastic fluid model with nonsmooth stress–strain relation9
Periodic traveling waves for a diffusive influenza model with treatment and seasonality9
Global Dynamics of Planar Piecewise Linear Inelastic systems having straight lines as switching manifolds9
Partially reflected waves in water of finite depth9
Bifurcation and dynamics of periodic solutions of MEMS model with squeeze film damping9
On second order differential inclusion driven by quasi-variational–hemivariational inequalities9
Modeling and analysis of a two-strain immuno-epidemiological model with reinfection8
Global well-posedness of 2D Hyperbolic perturbation of the Navier–Stokes system in a thin strip8
Positive steady-state solutions for predator–prey systems with prey-taxis and Dirichlet conditions8
Global dynamics of a diffusive viral infection model with spatial heterogeneity8
Optimal decay rate of the two-fluid incompressible Navier–Stokes–Fourier–Poisson system with Ohm’s law8
Monostable pulsating traveling waves in discrete periodic media with delay8
Boundedness in a fully parabolic attraction–repulsion chemotaxis system with nonlinear diffusion and signal-dependent sensitivity8
A new regularized stochastic approximation framework for stochastic inverse problems8
On the existence and monotonicity of pulsating traveling waves for reaction–diffusion–advection systems in high dimensional and periodic media8
Singular double phase problems with convection8
Double phase logistic equations with superdiffusive reaction8
On the boundary stabilization of the KdV–KdV system with time-dependent delay8
Energy equality of weak solutions of the Navier–Stokes–Fourier equations allowing vacuum8
Minimum energy with infinite horizon: From stationary to non-stationary states8
Derivation of a bidomain model for bundles of myelinated axons8
Energy conservation for the weak solutions to the 3D compressible magnetohydrodynamic equations of viscous non-resistive fluids in a bounded domain8
Well-posedness of solutions for the dissipative Boussinesq equation with logarithmic nonlinearity8
The Fokker–Planck–Boltzmann equation in low regularity space7
The existence and linear stability of periodic solution for a free boundary problem modeling tumor growth with a periodic supply of external nutrients7
Spreading dynamics for an epidemic model of West-Nile virus with shifting environment7
A reaction–diffusion vector-borne disease model with incubation period in almost periodic environments7
Non-uniform dependence on initial data for the Benjamin–Ono equation7
Editorial Board7
Coexistence of two species with intra- and interspecific competition in an unstirred chemostat7
Generalized penalty method for history-dependent variational–hemivariational inequalities7
On a limiting system of the triangular SKT competition model with large cross-diffusion and random-diffusion7
New generalization of non-autonomous Bernfeld–Haddock conjecture and its proof7
On the long-time behaviour of solutions to unforced evolution Navier–Stokes equations under Navier boundary conditions7
Nodal solutions for anisotropic (p,6
Nontrivial solutions to affine p-Laplace equations via a perturbation 6
Avian–human influenza epidemic model with diffusion, nonlocal delay and spatial homogeneous environment6
Anisotropic Chan–Vese segmentation6
Homogenization of high-contrast media in finite-strain elastoplasticity6
Decay mild solutions of Hilfer fractional differential variational–hemivariational inequalities6
Two models for sandpile growth in weighted graphs6
A bifurcation phenomenon in a singularly perturbed two-phase free boundary problem of phase transition6
Global bounded weak solution for a 3D chemotaxis-Stokes system with slow 6
Existence and asymptotic properties of aerotaxis model with the Fokker–Planck type diffusion6
Boundedness in a two-dimensional attraction–repulsion Navier–Stokes system with consumption of chemoattractant and sub-quadratic degradation6
Stability of viscous contact wave for the radiative and reactive gas with free boundary6
Dynamics of a predator–prey system with inducible defense and disease in the prey6
Global boundedness and stability of solutions for prey-taxis model with handling and searching predators6
Coefficient identification of the regularized p-Stokes equations6
Boundary null controllability of degenerate heat equation as the limit of internal controllability6
Finite-time blowup in attraction–repulsion systems with nonlinear signal production6
A class of history-dependent systems of evolution inclusions with applications6
A family of predictor–corrector schemes for a class of variational inequalities6
Global boundedness and stabilization in a forager–exploiter model with logistic growth and nonlinear resource consumption6
Regularity for the steady Stokes-type flow of incompressible Newtonian fluids in some generalized function settings5
Unbounded perturbation of an evolution hemivariational inequality5
A threshold policy to curb WNV transmission to birds with seasonality5
Qualitative analysis of smooth solution for the Euler equations of Chaplygin gas5
Agent-based pattern formation in a chemostat system with asymmetric dispersal5
Existence of solution for a singular elliptic system with convection terms5
Measure differential equation with a nonlinear growth/decay term5
Determination of unknown thermal coefficients in a non-classical Stefan problem5
Pattern formation and qualitative analysis for a vegetation-water model with diffusion5
Global boundedness in a two-species attraction–repulsion chemotaxis system with two chemicals and nonlinear productions5
Editorial Board5
A hybrid Krasnosel’skiĭ-Schauder fixed point theorem for systems5
Weak solutions for contact models involving a class of generalized materials5
Spatio-temporal dynamics of a reaction–diffusion–advection food-limited system with nonlocal delayed competition and Dirichlet boundary condition5
Chemotaxis systems with singular sensitivity and logistic source: Boundedness, persistence, absorbing set, and entire solutions5
A nonlinear viscoelastic plate equation with 5
Ill-posedness for the Euler equations in Besov spaces5
Analysis of a degenerate reaction–diffusion anthrax model with spatial heterogeneity5
Grow-up of weak solutions in a p-Laplacian pseudo-parabolic problem5
Existence and uniqueness of strong solutions for the system of interaction between a compressible Navier–Stokes–Fourier fluid and a damped plate equation5
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]5
Topological properties of solution sets for nonlinear evolution hemivariational inequalities and applications5
A Liouville-type theorem for the stationary MHD equations5
The Riemann problem for the nonisentropic Baer–Nunziato model of two-phase flows5
Global well-posedeness and large time asymptotic behavior of 2D density-dependent Boussinesq equations of Korteweg type with vacuum5
Dynamical boundary problem for Dirichlet-to-Neumann operator with critical Sobolev exponent and Hardy potential5
Boundedness of solutions in a predator–prey system with density-dependent motilities and indirect pursuit–evasion interaction5
Local stability and topological structure of completely integrable differential systems5
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, 20045
Global existence and stabilization in a diffusive predator–prey model with population flux by attractive transition5
Self-similar solutions for the heat equation with a positive non-Lipschitz continuous, semilinear source term5
Periodic solutions to history-dependent differential hemivariational inequalities with applications5
Competitive exclusion in a nonlocal reaction–diffusion–advection model of phytoplankton populations5
Editorial Board5
Controllability for semilinear heat equation with globally Lipschitz nonlinearities and memory term5
Exponential decay rate of a nonlinear suspension bridge model by a local distributed and boundary dampings4
On radial solutions for a Fully Non Linear degenerate or singular PDE4
Solitary waves of a generalized Ostrovsky equation4
Energy equality for the tropical climate models4
Survival criterion for a population subject to selection and mutations; Application to temporally piecewise constant environments4
Persistence or disappearance dynamics of a vector-borne disease model with climate change and distributed delay4
Classification of positive solutions to p-Laplace equations with crit4
Blow-up analysis of solutions for weakly coupled degenerate parabolic systems with nonlinear boundary conditions4
Differential variational–hemivariational inequalities with application to contact mechanics4
Asymptotic behaviors of global weak solutions for an epitaxial thin film growth equation4
On global classical solutions of the three dimensional non-relativistic Vlasov–Darwin System4
Variational methods for fluid–structure interaction and porous media4
Global existence and boundedness of solutions to a two-dimensional forager-exploiter model with/without logistic source4
On the classification and evolution of bifurcation curves for a quasilinear regularized MEMS model4
Multiple solutions for nonlinear Sturm–Liouville differential equations with possibly negative variable coefficients4
Global well-posedness to a chemotaxis-Stokes system4
On a Mathematical model for traveling sand dune4
Solvability of the fractional hyperbolic Keller–Segel system4
Orbital stability of solitary waves on a ferrofluid jet4
Local well-posedness for the inhomogeneous nonlinear Schrödinger equation in 4
Regularity results for solutions to a class of obstacle problems4
Degenerate codimension-2 cusp of limit cycles in a Holling–Tanner model with harvesting and anti-predator behavior4
A quasilinear attraction–repulsion chemotaxis system with logistic source4
Penalty method for solving a class of stochastic differential variational inequalities with an application4
On a fourth order equation describing single-component film models4
Global existence in a food chain model consisting of two competitive preys, one predator and chemotaxis4
On the global well-posedness for the incompressible four-component chemotaxis-Navier–Stokes equations with gradient-dependent flux limitation in 4
Editorial Board4
Asymptotic behavior of nonlinear sound waves in inviscid media with thermal and molecular relaxation4
Global weak solutions to a quantum kinetic-fluid model with large initial data4
Invasion analysis of a reaction–diffusion-advection predator–prey model in spatially heterogeneous environment4
Continuous dependence on the initial and flux functions for solutions of conservation laws4
A remark on the regularity criterion for the 3D Navier–Stokes equations in terms of two vorticity components4
Generalized anisotropic elliptic Wentzell problems with nonstandard growth conditions4
Local well-posedness of Boussinesq equations for MHD convection with fractional thermal diffusion in sobolev space 4
Lyapunov-type stability criterion for periodic generalized Camassa–Holm equations4
Superlinear degradation in a doubly degenerate nutrient taxis system4
Stability analysis of an age-structured epidemic model with vaccination and standard incidence rate4
A note on a very recent paper “Feedback control for nonlinear evolutionary equations with applications”4
A dynamic Euler–Bernoulli beam equation frictionally damped on an elastic foundation4
Asymptotic behavior of strong solutions of a simplified energy-transport model with general conductivity4
Existence and multiplicity results for double phase problem with nonlinear boundary condition4
Global solution to the Cauchy problem for nonlinear three-dimensional thermoelasticity of nonsimple materials4
Weak–strong uniqueness for heat conducting non-Newtonian incompressible fluids4
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