OOIR: Observatory of International Research

Papers

(The TQCC of Journal of Evolution Equations is 3. 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 2022-08-01 to 2026-08-01.)

Article	Citations
Representation formulae for higher-order linear curvature flows	24
Large time behavior for the hyperbolic–parabolic coupled system with the regularity-loss structure	20
Non-autonomous problem for a 2m-th order semilinear non-local parabolic equation	16
Minkowski inequality in GRW spacetimes	16
Stability of regular pullback attractors for non-autonomous dynamical systems: theoretical results and applications	15
On a class of wave equations with a nonlinear dynamic boundary condition of Kirchhoff type	13
Stability estimates for semigroups in the Banach case	12
Nonlinear stability for the 2D incompressible MHD system with fractional dissipation in the horizontal direction	12
On the convergence to the Navier–Stokes–Maxwell system with solenoidal Ohm’s law	12
Convergence and non-convergence phenomena in Euler–Maxwell to MHD transitions	11
Analytical solutions to the pressureless Euler–Korteweg equations with free boundary	11
Low regularity well-posedness for the Navier–Stokes–Darcy equations with free interface	11
Strong solutions and attractor dimension for 2D NSE with dynamic boundary conditions	10
Norm-inflation results for the good Boussinesq equation	10
New regularity criteria to the 2D supercritical SQG equations	10
Optimal control of gradient flows via the Weighted Energy-Dissipation method	10
Local null controllability of a cubic Ginzburg–Landau equation with dynamic boundary conditions	9
Bi-objective and hierarchical control for the Burgers equation	9
Finite propagation and saturation in reaction-diffusion-advection equations governed by p-Laplacian operator	9
Large deviation principle of stochastic evolution equations with reflection	9
Global regularity of 3D incompressible MHD system with large vertical viscosity and no vertical magnetic resistivity on $$\mathbb {T}^3$$	9
Traveling waves for nonlocal Fisher–KPP equations with diffusive delay	8
Well-posedness of the higher-order nonlinear Schrödinger equation on a finite interval	8
Free surface wave-breaking in the full nonlinear water wave problem with a permanent interface in cylindrical coordinates	8
Decay of solutions to one-dimensional inhomogeneous nonlinear Schrödinger equations	8

The viscoelastic paradox in a nonlinear Kelvin–Voigt type model of dynamic fracture	8
Critical curve for a weakly coupled system of semi-linear $$\sigma $$-evolution equations with different damping types	8
Rate of convergence for reaction–diffusion equations with nonlinear Neumann boundary conditions and $${\mathcal {C}}^1$$ variation of the domain	7
Refined decay rates of $$C_0$$-semigroups on Banach spaces	7
Asymptotic behavior of solutions to the extension problem for the fractional Laplacian on noncompact symmetric spaces	7
A one-dimensional Stefan problem for the heat equation with a nonlinear boundary condition of blow-up type	7
Global strong solutions with large oscillations to the 3D full compressible Navier–Stokes equations without heat conductivity	7
Exceptional boundary sets for fully nonlinear parabolic PDEs	6
A qualitative study of the generalized dispersive systems with time delay: the unbounded case	6
Uniqueness and regularity of weak solutions of a drift–diffusion system for perovskite solar cells	6
Global existence of weak solutions to a quasilinear chemotaxis system with consumption of chemoattractant	6
The modified scattering of two dimensional semi-relativistic Hartree equations	6
Evolution of nonsimple curves in the length-preserving locally constrained inverse curvature flow	6
Local well-posedness of the Cahn–Hilliard–Biot System	5
Ill-posedness of the Cauchy problem for the $$\mu $$-Camassa–Holm-type equations	5
Dissipative measure-valued solutions and weak–strong uniqueness for the Euler alignment system	5
Large deviation principle for multi-scale distribution-dependent stochastic differential equations driven by fractional Brownian motions	5
Vertical maximal functions on manifolds with ends	5
Dynamics of a generalized nonlocal dispersion SIS epidemic model	5
Stabilization of a transmission problem for two Rayleigh beams and a string with damping	5
Global solvability and large-time behavior in a doubly degenerate migration model involving saturated signal consumption	5
A new blowup criterion for the 3D viscous liquid–gas two-phase flow model with vacuum	5
Convergence of Allen–Cahn equations to De Giorgi’s multiphase mean curvature flow	5
Well-posedness of time-fractional systems in vector-valued Hölder spaces	5
Regularity of tempered asymmetric stable semigroups	5
Higher Hölder regularity for nonlocal parabolic equations with irregular kernels	5
Orbital instability of periodic waves for scalar viscous balance laws	4
Singular integral equations with applications to travelling waves for doubly nonlinear diffusion	4
Existence of solution of a triangular degenerate reaction–diffusion system	4
Semilinear damped wave equations on the Heisenberg group with initial data from Sobolev spaces of negative order	4
General error estimates of non-conforming approximation of system of reaction–diffusion equations	4
Global boundedness and asymptotic behavior of a two-species chemotaxis system with signal-dependent motilities and indirect signal consumption	4
Space-time decay rate for 3D compressible Euler equations with damping	4
Solvability of a semilinear heat equation on Riemannian manifolds	4
On the Cahn–Hilliard equation with kinetic rate dependent dynamic boundary condition and non-smooth potential: separation property and long-time behavior	4
Spreading speeds and forced waves of a three species competition system with nonlocal dispersal in shifting habitats	4
Modelling physiologically structured populations: renewal equations and partial differential equations	4
The logarithmic Schrödinger equation with spatial white noise on the full space	4
Ramifications of generalized Feller theory	4
Existence of variational solutions to doubly nonlinear nonlocal evolution equations via minimizing movements	4
The transition problem between time-independent motions of a body in a viscous liquid	4
Qualitative properties of solutions to parabolic anisotropic equations: part I—expansion of positivity	3
A pathwise regularization by noise phenomenon for the evolutionary p-Laplace equation	3
Formation of singularities of solutions to a 1D compressible radiation hydrodynamics model with damping relaxation and electric potential	3
Stability for a composite of Timoshenko laminated beams	3
Drift diffusion equations with fractional diffusion on compact Lie groups	3
Local existence and conditional regularity for the Navier–Stokes–Fourier system driven by inhomogeneous boundary conditions	3
A fully nonlinear Feynman–Kac formula with derivatives of arbitrary orders	3
Weak uniqueness for stochastic partial differential equations in Hilbert spaces	3
Regularizing effect of the interplay between coefficients in linear and semilinear X-elliptic equations	3

Non-uniqueness of mild solutions for 2d-heat equations with singular initial data	3
Local well-posedness of the higher-dimensional b-equation	3
Weak and parabolic solutions of advection–diffusion equations with rough velocity field	3
A capillary problem for spacelike mean curvature flow in a cone of Minkowski space	3
A first order description of a nonlinear SPDE in the spirit of rough paths	3
Bulk-surface systems on evolving domains	3
A new type distribution-dependent SDE for singular nonlinear PDE	3
Large time behavior of signed fractional porous media equations on bounded domains	3
Nonlinear Fokker–Planck equations with singular integral drifts and McKean–Vlasov SDEs	3
Critical mass phenomenon in a nonlinear Keller–Segel system with indirect signal production	3
Global existence and scattering for the inhomogeneous nonlinear Schrödinger equation	3
Relation between semigroup growth and resolvent decay for immediately differentiable semigroups	3
Dynamic behavior of food chain chemotactic system with evasion effect	3
Strong solutions to McKean–Vlasov SDEs with coefficients of Nemytskii type: the time-dependent case	3
Strong convergence of weighted gradients in parabolic equations and applications to global generalized solvability of cross-diffusive systems	3
Local regularity for the space-homogenous Landau equation with very soft potentials	3
Critical generalized transition waves for reaction–diffusion systems in time heterogeneous media	3
Global existence of a nonlinear wave equation arising from Nordström’s theory of gravitation	3
An application of spectral localization to the critical SQG on a ball	3
Strong convergence and fast rates for dynamical systems with Tikhonov regularization	3
Dean–Kawasaki equation with initial condition in the space of positive distributions	3
Boundary observability and null-controllability for non-autonomous degenerate hyperbolic equations via energy estimates	3
Potential stability of the Fokker–Planck equation	3
Observability and control of parabolic equations on networks with loops	3
On self-similar singularity formation for the binormal flow	3
Intertwined pair of diffusion equations generated by noncommutative Weyl calculus	3
Self-similarity in homogeneous stationary and evolution problems	3
Epidemic models in measure spaces: persistence, concentration and oscillations	3
Weak solutions to gradient flows of functionals with inhomogeneous growth in metric spaces	3