Journal of Differential Equations

Papers
(The median citation count of Journal of Differential Equations is 2. 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 2021-08-01 to 2025-08-01.)
ArticleCitations
Concentration phenomenon of single phytoplankton species with changing-sign advection term143
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Dissipative solutions and Markov selection to the complete stochastic Euler system76
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Gevrey estimates of the resolvent and sub-exponential time-decay for the heat and Schrödinger semigroups. II59
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On the reducibility of two-dimensional quasi-periodic systems with Liouvillean basic frequencies and without non-degeneracy condition58
One-sided Hölder regularity of global weak solutions of negative order dispersive equations55
Positivity of temperature for some non-isothermal fluid models55
Solutions of Schrödinger equations with symmetry in orientation preserving tetrahedral group54
New lower bounds of the number of critical periods in reversible centers51
Vertical and horizontal square functions on a class of non-doubling manifolds51
Stability analysis of an overdetermined fourth order boundary value problem via an integral identity49
On the exponential stability of Beck's Problem on a star-shaped graph47
Multiple symmetric periodic solutions of differential systems with distributed delay47
Asymptotic behavior of the Kuramoto system with periodic natural frequency46
Global solutions and relaxation limit to the Cauchy problem of a hydrodynamic model for semiconductors46
Unbounded solutions for asymmetric oscillations in the degenerate resonant case44
Optimal Sobolev embeddings for the Ornstein-Uhlenbeck operator44
Linear first order Riemann-Liouville fractional differential and perturbed Abel's integral equations44
Stability of the planar rarefaction wave to three-dimensional full compressible Navier-Stokes-Korteweg equations42
A new result for global solvability of a Keller-Segel-Navier-Stokes system with nonlinear diffusion and matrix-valued sensitivities in three dimensions41
On the weighted inertia-energy approach to forced wave equations40
Wave breaking and global solutions of the weakly dissipative periodic Camassa-Holm type equation38
Persistence of periodic traveling waves and Abelian integrals36
Strong solutions for 1D compressible Navier-Stokes/Allen-Cahn system with phase variable dependent viscosity34
Existence of generalized solitary waves for a diatomic Fermi-Pasta-Ulam-Tsingou lattice33
L estimates for the Caffarelli-Silvestre extension operators33
Sturmian measures can be sublinearly approximated by periodic measures33
Solitary solutions to the steady Euler equations with piecewise constant vorticity in a channel32
The convergence problem of the generalized Korteweg-de Vries equation in Fourier-Lebesgue space31
A new Chebyshev criterion and its application to planar differential systems30
Large time behavior of solutions to bipolar Euler-Poisson equations with time-dependent damping in bounded domain29
The number of Kaplan-Yorke periodic solutions for delay differential equations29
Zero-Mach limit of the compressible Navier-Stokes system on 2D exterior domains with non-slip boundary conditions for all time29
Uniqueness of cylindrically symmetric solutions for coupled Gross-Pitaevskii equations with totally degenerate potentials29
Existence of standing pulse solutions to a skew-gradient system28
On the Calderón problem for nonlocal Schrödinger equations with homogeneous, directionally antilocal principal symbols28
Smooth dynamics of semilinear thermoelastic systems with variable thermal coefficients28
A generalized index theory for non-Hamiltonian system27
Generalized singular integral with rough kernel and approximation of surface quasi-geostrophic equation27
One-phase free boundary solutions of finite Morse index27
On uniqueness of traveling waves for a reaction diffusion equation with spatio-temporal delay27
Varifold solutions of the two-phase three-dimensional magnetohydrodynamic equations27
Stability of smooth periodic traveling waves in the Degasperis–Procesi equation26
Nonlinear Schrödinger equations with concave-convex nonlinearities25
Ground state solutions for a (p,q)-Choquard equation with a general nonlinearity25
Poincaré-Perron problem for high order differential equations in the class of almost periodic type functions24
Coexistence and competitive exclusion in a time-periodic Lotka-Volterra competition-diffusion system24
Bifurcations in the diffusive Bazykin model24
Asymptotic mean value formulas, nonlocal space-time parabolic operators and anomalous tug-of-war games23
Global dynamics of Kato's solutions for the 3D incompressible micropolar system23
Global solvability for nonlinear wave equations with singular potential23
Fine asymptotic expansion of the ODE's flow23
Regularity of weak solutions for mixed local and nonlocal double phase parabolic equations23
Spreading speeds and pulsating fronts for a field-road model in a spatially periodic habitat23
Distribution of large value points via frequency and wellposedness of Navier-Stokes equations23
Nonlinear stability of multi-solitons for the Hirota equation23
Homoclinic bifurcation near a loop tangent to an invariant straight line23
C1,-regularity for functions in solution classes and its application to parabolic normalized p-Laplace equations23
Continuous family of equilibria of the 3D axisymmetric relativistic Vlasov-Maxwell system23
Partial functional differential equations and Conley index23
Existence of smooth solutions for a class of Euclidean bosonic equations22
Weak Harnack inequality for a mixed local and nonlocal parabolic equation22
Stochastic functional Kolmogorov equations II: Extinction22
Miura transformations and large-time behaviors of the Hirota-Satsuma equation22
Long-time dynamics of a nonlocal epidemic model with free boundaries: Spreading-vanishing dichotomy22
Spatial propagation phenomena for diffusive SIS epidemic models22
Existence, uniqueness and exponential ergodicity under Lyapunov conditions for McKean-Vlasov SDEs with Markovian switching21
Random dynamics of the stochastic Landau-Lifshitz-Bloch equation with colored noise in the real line21
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Existence and stability of positive solutions in a parabolic problem with a nonlinear incoming flux on the boundary20
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Estimates of eigenvalues and eigenfunctions in elliptic homogenization with rapidly oscillating potentials20
Attractors for a Kirchhoff model with degenerate stiffness factor and nonlinear boundary conditions19
On the study of optimal control problems with irregular constraints19
Martingale solutions of the stochastic Hall-magnetohydrodynamics equations on 19
A new regularity criterion for the 2D non-resistive incompressible MHD equations19
Global attractivity of delayed and nonlocal diffusive logistic models with variable coefficients19
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The Poincaré maps of a slow-fast stochastic system19
Global Sobolev regularity for nonvariational operators built with homogeneous Hörmander vector fields19
Wong-Zakai approximations and support theorem for reflected SDEs with path-dependent coefficients19
Effective medium theory for Van-der-Waals heterostructures19
Spectral stability of weak dispersive shock profiles for quantum hydrodynamics with nonlinear viscosity18
Large time behavior for MHD micropolar fluids in R18
First-order perturbation for multi-parameter center families18
Boundedness in a quasilinear two-species chemotaxis system with nonlinear sensitivity and nonlinear signal secretion18
Nonsmooth regular perturbations of singularly perturbed problems18
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Curved fronts for a Belousov-Zhabotinskii system in exterior domains18
Global bifurcation of irrotational water waves using a flow force formulation18
Finite time extinction for a class of damped Schrödinger equations with a singular saturated nonlinearity18
Corrigendum to “Metastability of the Cahn–Hilliard equation in one space dimension” [J. Differ. Equ. 265 (4) (2018) 1528–1575]18
Large friction limit of pressureless Euler equations with nonlocal forces18
Existence and stability of time periodic solutions to nonlinear elastic wave equations with viscoelastic terms17
A priori estimates for elliptic equations with gradient dependent term and zero order term17
On the L2 stability of shock waves for finite-entropy solutions of Burgers17
Period estimates for autonomous evolution equations with Lipschitz nonlinearities17
Existence and qualitative analysis of a fully cross-diffusive predator-prey system with nonlinear taxis sensitivity17
The existence and nonlinear stability of stationary solutions to outflow problem for a reduced gravity two and a half layer model17
On an inverse problem for a fractional semilinear elliptic equation involving a magnetic potential17
The weak Smale horseshoe and mean hyperbolicity17
Solving the axisymmetric Navier-Stokes equations in critical spaces (I): The case with small swirl component17
A new reformulation of the Muskat problem with surface tension16
Spatio-temporal dynamics of nonlocal dispersal systems in time-space periodic habitats16
Qualitative properties for a system coupling scaled mean curvature flow and diffusion16
Fine phase mixtures in one-dimensional non-convex elastodynamics16
Bifurcation structure and stability of steady gravity water waves with constant vorticity16
Convergence of the pressure in the homogenization of the Stokes equations in randomly perforated domains16
On M-dynamics and Li-Yorke chaos of extensions of minimal dynamics16
A Liouville type theorem for a scaling invariant parabolic system with no gradient structure16
Null-controllability for the beam equation with structural damping. Part 1. Distributed control16
Energy formulae for fractional Schrödinger-Poisson system16
Heat kernels and theory of Hardy spaces associated to Schrödinger operators on stratified groups16
Bifurcation and multiplicity results for elliptic problems with subcritical nonlinearity on the boundary15
Asymptotic behavior for the fast diffusion equation with absorption and singularity15
On ergodic control problem for viscous Hamilton–Jacobi equations for weakly coupled elliptic systems15
Tracking nonautonomous attractors in singularly perturbed systems of ODEs with dependence on the fast time15
Dynamics for a nonlocal logistic equation with a sedentary compartment and free boundary15
Sequential stability of weak martingale solutions to stochastic compressible Navier-Stokes equations with viscosity vanishing on vacuum15
Conditional stability up to the final time for backward-parabolic equations with Log-Lipschitz coefficients15
H1+ estimates for the fully nonlinear parabolic thin obstacle problem15
Asymptotic Floquet theory for first order ODEs with finite Fourier series perturbation and its applications to Floquet metamaterials15
Bifurcation curves for the one-dimensional perturbed Gelfand problem with the Minkowski-curvature operator15
Almost sure rates of mixing for partially hyperbolic attractors15
Traveling waves and their spectral instability in volume–filling chemotaxis model15
Three-spectra inverse problem for the perturbed Bessel operators14
From finite to continuous phenotypes in (visco-)elastic tissue growth models14
On Fila-King conjecture in dimension four14
Transmission problems for simply connected domains in the complex plane14
The field-road diffusion model: Fundamental solution and asymptotic behavior14
Poisson stable solutions for stochastic PDEs driven by Lévy noise14
The initial-boundary value problem for the nonlinear Schrödinger equation with the nonlinear Neumann boundary condition on the half-line14
A quasilinear chemotaxis-haptotaxis system: Existence and blow-up results14
The focusing NLS equation with step-like oscillating background: Asymptotics in a transition zone14
The period annulus and limit cycles in a planar piecewise linear system defined in three zones separated by two parallel lines14
The graph limit for a pairwise competition model14
Existence of planar non-symmetric stationary flows with large flux in an exterior disk14
Singular backward stochastic Volterra integral equations in infinite dimensional spaces14
Inhomogeneous wave equation with t-dependent singular coefficients14
Long-time asymptotics for the coupled complex short-pulse equation with decaying initial data14
Critical Schrödinger equations with Stein-Weiss convolution parts inR<14
L -maximal regularity for parabolic and elliptic boundary value problems with boundary conditions of mixed differentiability orders14
Complex integrability and linearizability of cubic Z2-equivariant systems with two 1:q resonant singular points13
Path independence for the additive functionals of stochastic Volterra equations with singular kernels and Hölder continuous coefficients13
Pullback measure attractors for non-autonomous stochastic reaction-diffusion equations on thin domains13
Time-dependent incompressible viscous flows around a rigid body: Estimates of spatial decay independent of boundary conditions13
Liouville type theorems for the generalized higher order Choquard-Pekar equation13
A justification on hydrodynamic limit for self-organized kinetic model with density-dependent parameters13
On the Dirichlet problem for second order elliptic systems in the ball13
Pointwise decay of solutions to the energy critical nonlinear Schrödinger equations13
Bloch spectra for high contrast elastic media13
Two reasons for the appearance of pushed wavefronts in the Belousov-Zhabotinsky system with spatiotemporal interaction13
Strong solutions to a fourth order exponential PDE describing epitaxial growth13
Quantitative estimates for Lévy driven SDEs with different drifts and applications13
Existence and stability of periodic solutions in a mosquito population suppression model with time delay13
Invariant measures of stochastic Maxwell equations and ergodic numerical approximations13
Stability of 2D steady Euler flows related to least energy solutions of the Lane-Emden equation13
Sturm–Liouville M-functions in terms of Green's functions13
Dynamical and variational properties of the NLS-δs13
Existence of solutions to a fully nonlinear free transmission problem13
Revisiting the number of zeros of Abelian integrals for perturbed pendulum equations12
Analytic proof of the emergence of new type of Lorenz-like attractors from the triple instability in systems with 12
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Global existence and boundedness for an N-dimensional parabolic-elliptic chemotaxis-fluid system with indirect pursuit-evasion12
Schrödinger equation on non-compact symmetric spaces12
Analysis of a radial free boundary tumor model with time-dependent absorption efficiency12
The Landau and non-cutoff Boltzmann equations in union of cubes12
Rigidity of Lyapunov exponents for geodesic flows12
Rotation sets and rotational entropy for random dynamical systems on the torus12
Nonlocal elliptic problems with nonhomogeneous nonlinearities via nonlinear Rayleigh quotient in 12
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Traveling waves to a chemotaxis-growth model with Allee effect12
The spectrum for the p-Laplacian systems with rotating periodic boundary value conditions and applications12
3D stochastic Landau-Lifshitz-Gilbert equations coupled with Maxwell's equations with full energy12
Full asymptotic expansion of the permeability matrix of a dilute periodic porous medium12
Struwe-like solutions for an evolutionary model of magnetoviscoelastic fluids12
Nonlinear stochastic wave equation driven by rough noise12
Genuinely sharp estimates for heat kernels on some planar cones being Weyl chambers12
Analytical study of a generalised Dirichlet–Neumann operator and application to three-dimensional water waves on Beltrami flows12
Asymptotic analysis of transonic shocks in divergent nozzles with respect to the expanding angle12
Existence and regularity of co-rotating and traveling-wave vortex solutions for the generalized SQG equation12
Global well-posedness of the energy-critical stochastic nonlinear wave equations12
Long-time existence for semilinear wave equations with the inverse-square potential11
The acoustic limit from the Boltzmann equation with Fermi-Dirac statistics11
Global well-posedness of classical solution to the interactions between short-long waves with large initial data11
Liouville-type results for the time-dependent three-dimensional (inviscid and viscous) water wave problem with an interface11
New linking theorems with applications to critical growth elliptic problems with jumping nonlinearities11
Two-species chemotaxis-competition system with singular sensitivity: Global existence, boundedness, and persistence11
Uniform sparse domination and quantitative weighted boundedness for singular integrals and application to the dissipative quasi-geostrophic equation11
Local existence of the outer parabolic stochastic Stefan problem on the sphere11
Dynamics of the nonlocal KPP equation: Effects of a new free boundary condition11
Decay estimates of positive finite energy solutions to quasilinear and fully nonlinear systems in 11
Born-Infeld problem with general nonlinearity11
Hyperbolic systems of balance laws with stiff source11
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On limit measures and their supports for stochastic ordinary differential equations11
Normalized solutions for (p,q)-Laplacian equations with mass supercritical growth11
Hydrodynamic limit of Boltzmann equations for gas mixture11
Abstract nonlinear evolution inclusions of second order with applications in visco-elasto-plasticity11
Bounded and periodic solutions of quasilinear parabolic equations in time-dependent domains11
Fine profiles of positive solutions for some nonlocal dispersal equations11
Characterising blenders via covering relations and cone conditions11
Asymptotic stability of rarefaction wave with non-slip boundary condition for radiative Euler flows11
Concentrating solutions for singularly perturbed double phase problems with nonlocal reaction11
A self-adjoint fractional Sturm-Liouville problem with the general fractional derivatives11
Optimal singularities of initial data for solvability of the Hardy parabolic equation11
Elliptic equations in RN11
Localization in space and its application in the bounded solution of Cauchy problem to the parabolic-parabolic Keller-Segel system with logistic growth11
Liouville theorem for Lane-Emden equation of Baouendi-Grushin operators10
Probability distance estimates between diffusion processes and applications to singular McKean-Vlasov SDEs10
Quasilinear parabolic equations with superlinear nonlinearities in critical spaces10
A flow force reformulation of steady periodic fixed-depth irrotational equatorial flows10
Theory and applications of equivariant normal forms and Hopf bifurcation for semilinear FDEs in Banach spaces10
Conditional uniqueness of solutions to the Keller–Rubinow model for Liesegang rings in the fast reaction limit10
Stability and hyperbolicity of equilibria for a scalar nonlocal one-dimensional quasilinear parabolic problem10
Stabilization of nonlinear non-uniform piezoelectric beam with time-varying delay in distributed control input10
Existence of a periodic solution for superlinear second order ODEs10
Exponential stabilization on infinite dimensional system with impulse controls10
Weighted maximal regularity estimates of higher order elliptic systems on Lipschitz domains10
Stationary solutions to the one-dimensional full compressible Navier-Stokes-Korteweg equations in the half line10
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Global existence and estimates for Blackstock's model of thermoviscous flow with second sound phenomena10
Measurable weighted shadowing for random dynamical systems on Banach spaces10
Polynomial bound and nonlinear smoothing for the Benjamin-Ono equation on the circle10
Spatiotemporal patterns and bifurcations of a delayed diffusive predator-prey system with fear effects10
Transitions in stochastic non-equilibrium systems: Efficient reduction and analysis10
Invariant manifolds of 3D piecewise vector fields10
Biological populations as stationary distributions in the space of genotypes10
Partial regularity for degenerate systems of double phase type10
Concentrating ground state for linearly coupled Schrödinger systems involving critical exponent cases10
Classification of solitary wave solutions to Schrödinger equations with potentials10
BV solutions to a hyperbolic system of balance laws with logistic growth10
Exponential decay of random correlations for random Anosov systems mixing on fibers10
Stability of minimising harmonic maps under W1, perturbations of boundary data: p ≥ 210
Dissipation wavenumber and regularity for electron magnetohydrodynamics10
Normalized solutions for nonlinear Schrödinger equations involving mass subcritical and supercritical exponents10
Threshold convergence results for a nonlocal time-delayed diffusion equation10
An extension of the Poincaré-Birkhoff theorem for Hamiltonian systems coupling resonant linear components with twisting components10
Polynomial normal forms for ODEs near a center-saddle equilibrium point10
On a class of superlinear obstacle problems10
A result of existence of global weak solutions of a viscous Saint-Venant-Exner model10
Long time and Painlevé-type asymptotics for the Sasa-Satsuma equation in solitonic space time regions10
Dimension approximation for diffeomorphisms preserving hyperbolic SRB measures10
Harnack inequalities and Hölder estimates for fully nonlinear integro-differential equations with weak scaling conditions10
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Dynamic boundary flux-driven shallow waters: Insights from a dissipative-dispersive system10
On sharp estimates for Schrödinger groups of fractional powers of nonnegative self-adjoint operators10
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