OOIR: Observatory of International Research

Papers

(The TQCC of Journal of Evolution 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 2022-06-01 to 2026-06-01.)

Article	Citations
Long-time behavior of several point particles in a 1D viscous compressible fluid	27
Representation formulae for higher-order linear curvature flows	23
Large time behavior for the hyperbolic–parabolic coupled system with the regularity-loss structure	18
Minkowski inequality in GRW spacetimes	15
Non-autonomous problem for a 2m-th order semilinear non-local parabolic equation	15
Stability of regular pullback attractors for non-autonomous dynamical systems: theoretical results and applications	13
Nonlinear stability for the 2D incompressible MHD system with fractional dissipation in the horizontal direction	12
Stability estimates for semigroups in the Banach case	12
Low regularity well-posedness for the Navier–Stokes–Darcy equations with free interface	11
Analytical solutions to the pressureless Euler–Korteweg equations with free boundary	11
On the convergence to the Navier–Stokes–Maxwell system with solenoidal Ohm’s law	11
Convergence and non-convergence phenomena in Euler–Maxwell to MHD transitions	11
Strong solutions and attractor dimension for 2D NSE with dynamic boundary conditions	10
New regularity criteria to the 2D supercritical SQG equations	10
Norm-inflation results for the good Boussinesq equation	10
Optimal control of gradient flows via the Weighted Energy-Dissipation method	9
Global regularity of 3D incompressible MHD system with large vertical viscosity and no vertical magnetic resistivity on $$\mathbb {T}^3$$	9
Finite propagation and saturation in reaction-diffusion-advection equations governed by p-Laplacian operator	9
The viscoelastic paradox in a nonlinear Kelvin–Voigt type model of dynamic fracture	8
Traveling waves for nonlocal Fisher–KPP equations with diffusive delay	8
Large deviation principle of stochastic evolution equations with reflection	8
Critical curve for a weakly coupled system of semi-linear $$\sigma $$-evolution equations with different damping types	8
Bi-objective and hierarchical control for the Burgers equation	8
Free surface wave-breaking in the full nonlinear water wave problem with a permanent interface in cylindrical coordinates	7
Refined decay rates of $$C_0$$-semigroups on Banach spaces	7

Rate of convergence for reaction–diffusion equations with nonlinear Neumann boundary conditions and $${\mathcal {C}}^1$$ variation of the domain	7
Decay of solutions to one-dimensional inhomogeneous nonlinear Schrödinger equations	7
A one-dimensional Stefan problem for the heat equation with a nonlinear boundary condition of blow-up type	7
Local null controllability of a cubic Ginzburg–Landau equation with dynamic boundary conditions	7
Well-posedness of the higher-order nonlinear Schrödinger equation on a finite interval	7
Asymptotic behavior of solutions to the extension problem for the fractional Laplacian on noncompact symmetric spaces	7
Evolution of nonsimple curves in the length-preserving locally constrained inverse curvature flow	6
The modified scattering of two dimensional semi-relativistic Hartree equations	6
Exceptional boundary sets for fully nonlinear parabolic PDEs	6
Global strong solutions with large oscillations to the 3D full compressible Navier–Stokes equations without heat conductivity	6
Local well-posedness of the Cahn–Hilliard–Biot System	6
Vertical maximal functions on manifolds with ends	5
Higher Hölder regularity for nonlocal parabolic equations with irregular kernels	5
Spreading speeds and forced waves of a three species competition system with nonlocal dispersal in shifting habitats	5
A qualitative study of the generalized dispersive systems with time delay: the unbounded case	5
Well-posedness of time-fractional systems in vector-valued Hölder spaces	5
Ill-posedness of the Cauchy problem for the $$\mu $$-Camassa–Holm-type equations	5
Global boundedness and asymptotic behavior of a two-species chemotaxis system with signal-dependent motilities and indirect signal consumption	5
Large deviation principle for multi-scale distribution-dependent stochastic differential equations driven by fractional Brownian motions	5
Stabilization of a transmission problem for two Rayleigh beams and a string with damping	5
Global existence of weak solutions to a quasilinear chemotaxis system with consumption of chemoattractant	5
Convergence of Allen–Cahn equations to De Giorgi’s multiphase mean curvature flow	5
Existence, uniqueness, and exponential stability for the Kirchhoff equation in whole hyperbolic space	5
Modelling physiologically structured populations: renewal equations and partial differential equations	5
The transition problem between time-independent motions of a body in a viscous liquid	5
Uniqueness and regularity of weak solutions of a drift–diffusion system for perovskite solar cells	5
Dynamics of a generalized nonlocal dispersion SIS epidemic model	5
Regularity of tempered asymmetric stable semigroups	4
Existence of variational solutions to doubly nonlinear nonlocal evolution equations via minimizing movements	4
General error estimates of non-conforming approximation of system of reaction–diffusion equations	4
Well-posedness for some third-order evolution differential equations: a semigroup approach	4
A capillary problem for spacelike mean curvature flow in a cone of Minkowski space	4
On the Cahn–Hilliard equation with kinetic rate dependent dynamic boundary condition and non-smooth potential: separation property and long-time behavior	4
Ramifications of generalized Feller theory	4
Dissipative measure-valued solutions and weak–strong uniqueness for the Euler alignment system	4
Orbital instability of periodic waves for scalar viscous balance laws	4
The logarithmic Schrödinger equation with spatial white noise on the full space	4
Semilinear damped wave equations on the Heisenberg group with initial data from Sobolev spaces of negative order	4
Singular integral equations with applications to travelling waves for doubly nonlinear diffusion	4
Solvability of a semilinear heat equation on Riemannian manifolds	4
Existence of solution of a triangular degenerate reaction–diffusion system	4
Global solvability and large-time behavior in a doubly degenerate migration model involving saturated signal consumption	4
Space-time decay rate for 3D compressible Euler equations with damping	4
A new blowup criterion for the 3D viscous liquid–gas two-phase flow model with vacuum	4
Epidemic models in measure spaces: persistence, concentration and oscillations	4
Nonlinear parabolic stochastic evolution equations in critical spaces part II	4
Local regularity for the space-homogenous Landau equation with very soft potentials	4
On self-similar singularity formation for the binormal flow	3
A first order description of a nonlinear SPDE in the spirit of rough paths	3
Observability and control of parabolic equations on networks with loops	3

Strong convergence of weighted gradients in parabolic equations and applications to global generalized solvability of cross-diffusive systems	3
Critical mass phenomenon in a nonlinear Keller–Segel system with indirect signal production	3
Critical generalized transition waves for reaction–diffusion systems in time heterogeneous media	3
Weak and parabolic solutions of advection–diffusion equations with rough velocity field	3
Local well-posedness of the higher-dimensional b-equation	3
Large time behavior of signed fractional porous media equations on bounded domains	3
Global existence of a nonlinear wave equation arising from Nordström’s theory of gravitation	3
Formation of singularities of solutions to a 1D compressible radiation hydrodynamics model with damping relaxation and electric potential	3
A fully nonlinear Feynman–Kac formula with derivatives of arbitrary orders	3
Degenerate operators on the half-line	3
Weak solutions to gradient flows of functionals with inhomogeneous growth in metric spaces	3
Intertwined pair of diffusion equations generated by noncommutative Weyl calculus	3
A restricted superposition principle for (non-)linear Fokker–Planck–Kolmogorov equations on Hilbert spaces	3
Dean–Kawasaki equation with initial condition in the space of positive distributions	3
A new type distribution-dependent SDE for singular nonlinear PDE	3
Boundary observability and null-controllability for non-autonomous degenerate hyperbolic equations via energy estimates	3
Strong solutions to McKean–Vlasov SDEs with coefficients of Nemytskii type: the time-dependent case	3
Regularizing effect of the interplay between coefficients in linear and semilinear X-elliptic equations	3
A pathwise regularization by noise phenomenon for the evolutionary p-Laplace equation	3
Relation between semigroup growth and resolvent decay for immediately differentiable semigroups	3
Drift diffusion equations with fractional diffusion on compact Lie groups	3
Damped Euler system with attractive Riesz interaction forces	2
Maximal $$L^{q}$$-regularity for the Laplacian on manifolds with edges	2
Boundedness of the solution to a higher-dimensional triply haptotactic cross-diffusion system modeling oncolytic virotherapy	2
Stability via closure relations with applications to dissipative and port-Hamiltonian systems	2
Blow-up profiles of reaction–diffusion equations involving nonlinear terms with perturbations	2
On the Lipschitz continuity of the heat kernel	2
On well-posedness and maximal regularity for parabolic Cauchy problems on weighted tent spaces	2
An application of spectral localization to the critical SQG on a ball	2
Correction to: Solvability of the Cauchy problem for fractional semilinear parabolic equations in critical and doubly critical cases	2
Dynamic behavior of food chain chemotactic system with evasion effect	2
Fujita exponent for non-local parabolic equation involving the Hardy–Leray potential	2
Potential stability of the Fokker–Planck equation	2
On blow-up conditions for nonlinear higher-order evolution inequalities	2
Complete regularity and strong attractor for the strongly damped wave equation with critical nonlinearities on $$\mathbb {R}^{3}$$	2
The Neumann problem for one-dimensional parabolic equations with linear growth Lagrangian: evolution of singularities	2
Well-posedness for the NLS hierarchy	2
Energy distribution of solutions to defocusing semi-linear wave equation in $$\mathbf {d\ge 3}$$	2
Banach gradient flows for various families of knot energies	2
Ad hoc test functions for homogenization of compressible viscous fluid with application to the obstacle problem in dimension two	2
Influence of thermal coupling on shearing Timoshenko–Boltzmann systems	2
Entropy solutions to a non-conservative and non-strictly hyperbolic diagonal system inspired by dislocation dynamics	2
Two-phase flows through porous media described by a Cahn–Hilliard–Brinkman model with dynamic boundary conditions	2
On the 3D Navier–Stokes equations with a linear multiplicative noise and prescribed energy	2
Stability and Gevrey regularity for some transmission systems involving a degenerate parabolic component	2
Remarks on uniqueness and energy conservation for electron-MHD system	2
Growth rate of eventually positive Kreiss bounded $$C_0$$-semigroups on $$L^p$$ and $$\mathcal {C}(K)$$	2
On the existence and Hölder regularity of solutions to some nonlinear Cauchy–Neumann problems	2
Stability for a composite of Timoshenko laminated beams	2
Existence, comparison principle and uniqueness for doubly nonlinear anisotropic evolution equations	2
Weak uniqueness for stochastic partial differential equations in Hilbert spaces	2
Global existence and scattering for the inhomogeneous nonlinear Schrödinger equation	2
Global well-posedness of the incompressible Hall-MHD system in critical spaces	2
Stability and large-time behavior of the 2D Boussinesq system with mixed partial dissipations near hydrostatic equilibrium	2
Lifespan estimates for the compressible Euler equations with damping via Orlicz spaces techniques	2
Stability and Gevrey regularity of the semigroup associated with an Euler–Bernoulli plate equation subject to localized Kelvin–Voigt damping	2
On maximal attractors for dynamical systems. Application to a semilinear parabolic problem with controlled growth	2
Semilinear damped wave equations with data from Sobolev spaces of negative order: the critical case in the Euclidean setting and in the Heisenberg space	2
A Sobolev space theory for the stochastic partial differential equations with space-time non-local operators	2
Existence of a weak solution and blow-up of strong solutions for a two-component Fornberg–Whitham system	2
Optimal large-time behavior of solutions to the full compressible Navier–Stokes equations with Large initial data	2
Shape perturbation of a nonlinear mixed problem for the heat equation	2
Intrinsic Hölder spaces for fractional kinetic operators	2
Effect of lower order terms on the well-posedness of Majda-Biello systems	2
Strong convergence and fast rates for dynamical systems with Tikhonov regularization	2
Stability of rotating liquid drops with surface tension	2
Bulk-surface systems on evolving domains	2
Indirect stabilization on Kirchhoff plates by memory effects	2
Nonlinear Fokker–Planck equations with singular integral drifts and McKean–Vlasov SDEs	2
Random dynamics of stochastic BBM equations driven by nonlinear colored noise on unbounded channel	2
Non-uniqueness of mild solutions for 2d-heat equations with singular initial data	2
An example of a weakly mixing $${{\,\textrm{BV}\,}}$$ vector field which is not strongly mixing	2
Self-similarity in homogeneous stationary and evolution problems	2
Propagation phenomenon of bistable reaction–diffusion systems in cylindrical domains	2
Observation estimate for the heat equations with Neumann boundary conditions via logarithmic convexity	2
Inviscid incompressible limit for capillary fluids with density-dependent viscosity	2
Relative energy method for weak–strong uniqueness of the inhomogeneous Navier–Stokes equations far from vacuum	2
Side boundary potentials for a Kolmogorov-type PDE	2