Journal of Differential Equations

Papers
(The TQCC of Journal of Differential Equations 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
Concentration phenomenon of single phytoplankton species with changing-sign advection term136
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Dissipative solutions and Markov selection to the complete stochastic Euler system75
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On the reducibility of two-dimensional quasi-periodic systems with Liouvillean basic frequencies and without non-degeneracy condition57
Gevrey estimates of the resolvent and sub-exponential time-decay for the heat and Schrödinger semigroups. II57
Editorial Board55
Positivity of temperature for some non-isothermal fluid models52
Poincaré-Perron problem for high order differential equations in the class of almost periodic type functions51
One-sided Hölder regularity of global weak solutions of negative order dispersive equations50
New lower bounds of the number of critical periods in reversible centers49
Vertical and horizontal square functions on a class of non-doubling manifolds49
Persistence of periodic traveling waves and Abelian integrals49
Solutions of Schrödinger equations with symmetry in orientation preserving tetrahedral group49
Multiple symmetric periodic solutions of differential systems with distributed delay48
Stability analysis of an overdetermined fourth order boundary value problem via an integral identity48
Coexistence and competitive exclusion in a time-periodic Lotka-Volterra competition-diffusion system47
On the exponential stability of Beck's Problem on a star-shaped graph47
Global solutions and relaxation limit to the Cauchy problem of a hydrodynamic model for semiconductors46
On some partial data Calderón type problems with mixed boundary conditions46
Asymptotic behavior of the Kuramoto system with periodic natural frequency45
Solitary solutions to the steady Euler equations with piecewise constant vorticity in a channel44
Unbounded solutions for asymmetric oscillations in the degenerate resonant case42
Linear first order Riemann-Liouville fractional differential and perturbed Abel's integral equations41
Nonlinear Schrödinger equations with concave-convex nonlinearities41
Existence of generalized solitary waves for a diatomic Fermi-Pasta-Ulam-Tsingou lattice40
A new result for global solvability of a Keller-Segel-Navier-Stokes system with nonlinear diffusion and matrix-valued sensitivities in three dimensions40
Spatial propagation phenomena for diffusive SIS epidemic models38
Sturmian measures can be sublinearly approximated by periodic measures35
Weak Harnack inequality for a mixed local and nonlocal parabolic equation34
The convergence problem of the generalized Korteweg-de Vries equation in Fourier-Lebesgue space32
Existence of smooth solutions for a class of Euclidean bosonic equations31
A new Chebyshev criterion and its application to planar differential systems31
Strong solutions for 1D compressible Navier-Stokes/Allen-Cahn system with phase variable dependent viscosity31
The number of Kaplan-Yorke periodic solutions for delay differential equations30
Wave breaking and global solutions of the weakly dissipative periodic Camassa-Holm type equation28
Generalized singular integral with rough kernel and approximation of surface quasi-geostrophic equation27
Stability of the planar rarefaction wave to three-dimensional full compressible Navier-Stokes-Korteweg equations27
Asymptotic mean value formulas, nonlocal space-time parabolic operators and anomalous tug-of-war games27
Smooth dynamics of semilinear thermoelastic systems with variable thermal coefficients27
Zero-Mach limit of the compressible Navier-Stokes system on 2D exterior domains with non-slip boundary conditions for all time27
Large time behavior of solutions to bipolar Euler-Poisson equations with time-dependent damping in bounded domain27
On uniqueness of traveling waves for a reaction diffusion equation with spatio-temporal delay27
Existence of standing pulse solutions to a skew-gradient system26
On the Calderón problem for nonlocal Schrödinger equations with homogeneous, directionally antilocal principal symbols26
Varifold solutions of the two-phase three-dimensional magnetohydrodynamic equations26
Stability of smooth periodic traveling waves in the Degasperis–Procesi equation25
L estimates for the Caffarelli-Silvestre extension operators25
One-phase free boundary solutions of finite Morse index24
Optimal Sobolev embeddings for the Ornstein-Uhlenbeck operator24
A generalized index theory for non-Hamiltonian system24
Existence, uniqueness and exponential ergodicity under Lyapunov conditions for McKean-Vlasov SDEs with Markovian switching24
Partial functional differential equations and Conley index24
Nonlinear stability of multi-solitons for the Hirota equation24
Fine asymptotic expansion of the ODE's flow23
Regularity of weak solutions for mixed local and nonlocal double phase parabolic equations23
Continuous family of equilibria of the 3D axisymmetric relativistic Vlasov-Maxwell system23
On the planar Choquard equation with indefinite potential and critical exponential growth22
Long-time dynamics of a nonlocal epidemic model with free boundaries: Spreading-vanishing dichotomy22
Distribution of large value points via frequency and wellposedness of Navier-Stokes equations22
Homoclinic bifurcation near a loop tangent to an invariant straight line22
Global solvability for nonlinear wave equations with singular potential22
Spreading speeds and pulsating fronts for a field-road model in a spatially periodic habitat21
On the weighted inertia-energy approach to forced wave equations21
Ground state solutions for a (p,q)-Choquard equation with a general nonlinearity21
Bifurcations in the diffusive Bazykin model21
Miura transformations and large-time behaviors of the Hirota-Satsuma equation21
C1,-regularity for functions in solution classes and its application to parabolic normalized p-Laplace equations21
Attractors for a Kirchhoff model with degenerate stiffness factor and nonlinear boundary conditions20
Theory of index-one nonlinear complementarity systems20
Global Sobolev regularity for nonvariational operators built with homogeneous Hörmander vector fields20
Stochastic functional Kolmogorov equations II: Extinction20
Editorial Board20
A new regularity criterion for the 2D non-resistive incompressible MHD equations20
Estimates of eigenvalues and eigenfunctions in elliptic homogenization with rapidly oscillating potentials20
Global dynamics of Kato's solutions for the 3D incompressible micropolar system20
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Global attractivity of delayed and nonlocal diffusive logistic models with variable coefficients19
Martingale solutions of the stochastic Hall-magnetohydrodynamics equations on 19
A quasilinear chemotaxis-haptotaxis system: Existence and blow-up results19
Finite time extinction for a class of damped Schrödinger equations with a singular saturated nonlinearity19
Wong-Zakai approximations and support theorem for reflected SDEs with path-dependent coefficients19
The Poincaré maps of a slow-fast stochastic system19
Editorial Board19
First-order perturbation for multi-parameter center families18
Spatio-temporal dynamics of nonlocal dispersal systems in time-space periodic habitats18
The period annulus and limit cycles in a planar piecewise linear system defined in three zones separated by two parallel lines18
Large friction limit of pressureless Euler equations with nonlocal forces18
Period estimates for autonomous evolution equations with Lipschitz nonlinearities18
On an inverse problem for a fractional semilinear elliptic equation involving a magnetic potential18
Editorial Board18
Critical Schrödinger equations with Stein-Weiss convolution parts inR<18
Corrigendum to “Metastability of the Cahn–Hilliard equation in one space dimension” [J. Differ. Equ. 265 (4) (2018) 1528–1575]18
Existence and qualitative analysis of a fully cross-diffusive predator-prey system with nonlinear taxis sensitivity18
Existence and stability of time periodic solutions to nonlinear elastic wave equations with viscoelastic terms18
Boundedness in a quasilinear two-species chemotaxis system with nonlinear sensitivity and nonlinear signal secretion18
Curved fronts for a Belousov-Zhabotinskii system in exterior domains18
The focusing NLS equation with step-like oscillating background: Asymptotics in a transition zone18
The weak Smale horseshoe and mean hyperbolicity17
The existence and nonlinear stability of stationary solutions to outflow problem for a reduced gravity two and a half layer model17
Energy formulae for fractional Schrödinger-Poisson system17
Convergence of the pressure in the homogenization of the Stokes equations in randomly perforated domains17
On the L2 stability of shock waves for finite-entropy solutions of Burgers17
Solving the axisymmetric Navier-Stokes equations in critical spaces (I): The case with small swirl component17
Qualitative properties for a system coupling scaled mean curvature flow and diffusion17
On Fila-King conjecture in dimension four17
A priori estimates for elliptic equations with gradient dependent term and zero order term17
Spectral stability of weak dispersive shock profiles for quantum hydrodynamics with nonlinear viscosity17
A Liouville type theorem for a scaling invariant parabolic system with no gradient structure16
On M-dynamics and Li-Yorke chaos of extensions of minimal dynamics16
Sequential stability of weak martingale solutions to stochastic compressible Navier-Stokes equations with viscosity vanishing on vacuum16
Tracking nonautonomous attractors in singularly perturbed systems of ODEs with dependence on the fast time16
Heat kernels and theory of Hardy spaces associated to Schrödinger operators on stratified groups16
Pointwise decay of solutions to the energy critical nonlinear Schrödinger equations16
Conditional stability up to the final time for backward-parabolic equations with Log-Lipschitz coefficients16
A new reformulation of the Muskat problem with surface tension16
Asymptotic behavior for the fast diffusion equation with absorption and singularity16
Fine phase mixtures in one-dimensional non-convex elastodynamics16
Bifurcation structure and stability of steady gravity water waves with constant vorticity16
Bifurcation and multiplicity results for elliptic problems with subcritical nonlinearity on the boundary16
Almost sure rates of mixing for partially hyperbolic attractors16
Bifurcation curves for the one-dimensional perturbed Gelfand problem with the Minkowski-curvature operator16
Asymptotic Floquet theory for first order ODEs with finite Fourier series perturbation and its applications to Floquet metamaterials16
L -maximal regularity for parabolic and elliptic boundary value problems with boundary conditions of mixed differentiability orders15
H1+ estimates for the fully nonlinear parabolic thin obstacle problem15
Three-spectra inverse problem for the perturbed Bessel operators15
Long-time asymptotics for the coupled complex short-pulse equation with decaying initial data15
Existence and stability of periodic solutions in a mosquito population suppression model with time delay15
On ergodic control problem for viscous Hamilton–Jacobi equations for weakly coupled elliptic systems15
Nonsmooth regular perturbations of singularly perturbed problems15
Global bifurcation of irrotational water waves using a flow force formulation15
Singular backward stochastic Volterra integral equations in infinite dimensional spaces15
The initial-boundary value problem for the nonlinear Schrödinger equation with the nonlinear Neumann boundary condition on the half-line15
Inhomogeneous wave equation with t-dependent singular coefficients15
Traveling waves and their spectral instability in volume–filling chemotaxis model15
The graph limit for a pairwise competition model15
Large time behavior for MHD micropolar fluids in R15
Poisson stable solutions for stochastic PDEs driven by Lévy noise14
Pullback measure attractors for non-autonomous stochastic reaction-diffusion equations on thin domains14
Normalized solutions for (p,q)-Laplacian equations with mass supercritical growth14
Null-controllability for the beam equation with structural damping. Part 1. Distributed control14
Finite-time blowup and ill-posedness in Sobolev spaces of the inviscid primitive equations with rotation14
Invariant measures of stochastic Maxwell equations and ergodic numerical approximations14
Bloch spectra for high contrast elastic media14
Existence of planar non-symmetric stationary flows with large flux in an exterior disk14
The field-road diffusion model: Fundamental solution and asymptotic behavior14
Path independence for the additive functionals of stochastic Volterra equations with singular kernels and Hölder continuous coefficients14
Complex integrability and linearizability of cubic Z2-equivariant systems with two 1:q resonant singular points14
Schrödinger equation on non-compact symmetric spaces13
Full asymptotic expansion of the permeability matrix of a dilute periodic porous medium13
Strong solutions to a fourth order exponential PDE describing epitaxial growth13
Time-dependent incompressible viscous flows around a rigid body: Estimates of spatial decay independent of boundary conditions13
Two reasons for the appearance of pushed wavefronts in the Belousov-Zhabotinsky system with spatiotemporal interaction13
Stability of 2D steady Euler flows related to least energy solutions of the Lane-Emden equation13
Dynamical and variational properties of the NLS-δs13
3D stochastic Landau-Lifshitz-Gilbert equations coupled with Maxwell's equations with full energy13
Analysis of a radial free boundary tumor model with time-dependent absorption efficiency13
Liouville type theorems for the generalized higher order Choquard-Pekar equation13
Traveling waves to a chemotaxis-growth model with Allee effect13
New linking theorems with applications to critical growth elliptic problems with jumping nonlinearities13
Sturm–Liouville M-functions in terms of Green's functions13
Born-Infeld problem with general nonlinearity13
Localization in space and its application in the bounded solution of Cauchy problem to the parabolic-parabolic Keller-Segel system with logistic growth13
Quantitative estimates for Lévy driven SDEs with different drifts and applications13
An interior a priori estimate for solutions to Monge-Ampère equations with right-hand side close to a positive constant13
Asymptotic analysis of transonic shocks in divergent nozzles with respect to the expanding angle13
Characterising blenders via covering relations and cone conditions13
The spectrum for the p-Laplacian systems with rotating periodic boundary value conditions and applications13
A self-adjoint fractional Sturm-Liouville problem with the general fractional derivatives13
Two-species chemotaxis-competition system with singular sensitivity: Global existence, boundedness, and persistence13
Uniform sparse domination and quantitative weighted boundedness for singular integrals and application to the dissipative quasi-geostrophic equation13
On the Dirichlet problem for second order elliptic systems in the ball13
A justification on hydrodynamic limit for self-organized kinetic model with density-dependent parameters13
Liouville-type results for the time-dependent three-dimensional (inviscid and viscous) water wave problem with an interface13
Exclusion of quadruple collisions in minimizers of the planar equal-mass N-body problem13
On limit measures and their supports for stochastic ordinary differential equations13
Local existence of the outer parabolic stochastic Stefan problem on the sphere12
Rigidity of Lyapunov exponents for geodesic flows12
Global well-posedness of the energy-critical stochastic nonlinear wave equations12
Editorial Board12
Global existence and boundedness for an N-dimensional parabolic-elliptic chemotaxis-fluid system with indirect pursuit-evasion12
Hydrodynamic limit of Boltzmann equations for gas mixture12
Concentrating solutions for singularly perturbed double phase problems with nonlocal reaction12
Struwe-like solutions for an evolutionary model of magnetoviscoelastic fluids12
Revisiting the number of zeros of Abelian integrals for perturbed pendulum equations12
Existence and regularity of co-rotating and traveling-wave vortex solutions for the generalized SQG equation12
The Landau and non-cutoff Boltzmann equations in union of cubes12
Editorial Board12
Elliptic equations in RN12
Abstract nonlinear evolution inclusions of second order with applications in visco-elasto-plasticity12
Analytic proof of the emergence of new type of Lorenz-like attractors from the triple instability in systems with 12
Genuinely sharp estimates for heat kernels on some planar cones being Weyl chambers12
Nonlinear stochastic wave equation driven by rough noise12
Long-time existence for semilinear wave equations with the inverse-square potential12
Analytical study of a generalised Dirichlet–Neumann operator and application to three-dimensional water waves on Beltrami flows12
Decay estimates of positive finite energy solutions to quasilinear and fully nonlinear systems in 12
Rotation sets and rotational entropy for random dynamical systems on the torus12
Existence of solutions to a fully nonlinear free transmission problem12
Nonlocal elliptic problems with nonhomogeneous nonlinearities via nonlinear Rayleigh quotient in 12
Weighted maximal regularity estimates of higher order elliptic systems on Lipschitz domains11
Long time and Painlevé-type asymptotics for the Sasa-Satsuma equation in solitonic space time regions11
Optimal singularities of initial data for solvability of the Hardy parabolic equation11
Hyperbolic systems of balance laws with stiff source11
Strong contrasting diffusivity in general oscillating domains: Homogenization of optimal control problems11
Dynamic boundary flux-driven shallow waters: Insights from a dissipative-dispersive system11
Harnack inequalities and Hölder estimates for fully nonlinear integro-differential equations with weak scaling conditions11
BV solutions to a hyperbolic system of balance laws with logistic growth11
Global existence and estimates for Blackstock's model of thermoviscous flow with second sound phenomena11
Exponential decay of random correlations for random Anosov systems mixing on fibers11
Asymptotic stability of rarefaction wave with non-slip boundary condition for radiative Euler flows11
Global well-posedness of classical solution to the interactions between short-long waves with large initial data11
Stability of minimising harmonic maps under W1, perturbations of boundary data: p ≥ 211
Dynamics of the nonlocal KPP equation: Effects of a new free boundary condition11
Editorial Board11
On the Korteweg-de Vries limit for the Boussinesq equation11
Classification of solitary wave solutions to Schrödinger equations with potentials11
Fine profiles of positive solutions for some nonlocal dispersal equations11
The acoustic limit from the Boltzmann equation with Fermi-Dirac statistics11
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Stationary solutions to the one-dimensional full compressible Navier-Stokes-Korteweg equations in the half line11
Multiple bounded variation solutions for a prescribed mean curvature equation with Neumann boundary conditions11
On the number of ergodic physical/SRB measures of singular-hyperbolic attracting sets10
Bifurcation for a free boundary problem modeling a small arterial plaque10
Construction of a two-phase flow with singular energy by gradient flow methods10
Large deviations for (1 + 1)-dimensional stochastic geometric wave equation10
Sharp large time behaviour in N-dimensional reaction-diffusion equations of bistable type10
Dimension approximation for diffeomorphisms preserving hyperbolic SRB measures10
Normal forms of hyperbolic logarithmic transseries10
Spatiotemporal patterns and bifurcations of a delayed diffusive predator-prey system with fear effects10
Propagation dynamics for a class of integro-difference equations in a shifting environment10
The MGT-Fourier model in the supercritical case10
Pattern formations in nonlinear reaction-diffusion systems with strong localized impurities10
Regularity criteria for weak solutions to the 3d co-rotational Beris-Edwards system via the pressure10
A flow box theorem for 2d slow-fast vector fields and diffeomorphisms and the slow log-determinant integral10
Vlasov equations on digraph measures10
Energy conservation law for weak solutions of the full compressible Navier-Stokes equations10
Optimal boundary regularity for viscosity solutions of fully nonlinear elliptic equations10
Measurable weighted shadowing for random dynamical systems on Banach spaces10
Limit cycles in piecewise polynomial Hamiltonian systems allowing nonlinear switching boundaries10
Propagation dynamics of cooperative reaction-diffusion systems in a periodic shifting environment10
Bifurcation tearing in a forced Duffing equation10
Nonlinear wave interactions in geochemical modeling10
Theory and applications of equivariant normal forms and Hopf bifurcation for semilinear FDEs in Banach spaces10
Global weak solutions to the Euler-Vlasov equations with finite energy10
Maslov-type (L,P)-index and subharmonic P-symmetric brake solutions for Hamiltonian systems10
Exponential stabilization on infinite dimensional system with impulse controls10
Optimal decay of compressible Navier-Stokes equations with or without potential force10
Controllability of quasi-linear Hamiltonian Schrödinger equations on tori10
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