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 2022-01-01 to 2026-01-01.)

Article	Citations
Gaussian bounds of fundamental matrix and maximal $$L^1$$ regularity for Lamé system with rough coefficients	24
Long-time behavior of several point particles in a 1D viscous compressible fluid	19
Stability of regular pullback attractors for non-autonomous dynamical systems: theoretical results and applications	18
Representation formulae for higher-order linear curvature flows	14
Minkowski inequality in GRW spacetimes	14
Nonlinear stability for the 2D incompressible MHD system with fractional dissipation in the horizontal direction	13
Large time behavior for the hyperbolic–parabolic coupled system with the regularity-loss structure	12
Description of the smoothing effects of semigroups generated by fractional Ornstein–Uhlenbeck operators and subelliptic estimates	11
Optimal control of gradient flows via the Weighted Energy-Dissipation method	10
Strong solutions and attractor dimension for 2D NSE with dynamic boundary conditions	10
On the convergence to the Navier–Stokes–Maxwell system with solenoidal Ohm’s law	9
Controllability results for stochastic coupled systems of fourth- and second-order parabolic equations	9
New regularity criteria to the 2D supercritical SQG equations	9
Stability estimates for semigroups in the Banach case	9
Norm-inflation results for the good Boussinesq equation	9
Analytical solutions to the pressureless Euler–Korteweg equations with free boundary	9
Bi-objective and hierarchical control for the Burgers equation	8
The viscoelastic paradox in a nonlinear Kelvin–Voigt type model of dynamic fracture	8
Global in time self-interacting Dirac fields in the de Sitter space	8
On the Cauchy problem of Boltzmann equation with a very soft potential	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
Local null controllability of a cubic Ginzburg–Landau equation with dynamic boundary conditions	7
Evolution of nonsimple curves in the length-preserving locally constrained inverse curvature flow	7
Exceptional boundary sets for fully nonlinear parabolic PDEs	7

Rate of convergence for reaction–diffusion equations with nonlinear Neumann boundary conditions and $${\mathcal {C}}^1$$ variation of the domain	7
Asymptotic behavior of solutions to the extension problem for the fractional Laplacian on noncompact symmetric spaces	7
Dynamics of a generalized nonlocal dispersion SIS epidemic model	7
The modified scattering of two dimensional semi-relativistic Hartree equations	7
Traveling waves for nonlocal Fisher–KPP equations with diffusive delay	7
Refined decay rates of $$C_0$$-semigroups on Banach spaces	7
Global strong solutions with large oscillations to the 3D full compressible Navier–Stokes equations without heat conductivity	7
Uniqueness and regularity of weak solutions of a drift–diffusion system for perovskite solar cells	6
Ill-posedness of the Cauchy problem for the $$\mu $$-Camassa–Holm-type equations	6
Global existence of weak solutions to a quasilinear chemotaxis system with consumption of chemoattractant	6
Vertical maximal functions on manifolds with ends	6
A qualitative study of the generalized dispersive systems with time delay: the unbounded case	6
Stabilization of a transmission problem for two Rayleigh beams and a string with damping	6
Existence, uniqueness, and exponential stability for the Kirchhoff equation in whole hyperbolic space	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
Solvability of a semilinear heat equation on Riemannian manifolds	5
Higher Hölder regularity for nonlocal parabolic equations with irregular kernels	5
Modelling physiologically structured populations: renewal equations and partial differential equations	5
Orbital instability of periodic waves for scalar viscous balance laws	5
On the second-order regularity of solutions to the parabolic p-Laplace equation	5
A new blowup criterion for the 3D viscous liquid–gas two-phase flow model with vacuum	5
Spreading speeds and forced waves of a three species competition system with nonlocal dispersal in shifting habitats	5
Singular integral equations with applications to travelling waves for doubly nonlinear diffusion	5
Existence of variational solutions to doubly nonlinear nonlocal evolution equations via minimizing movements	5
Local regularity for the space-homogenous Landau equation with very soft potentials	4
Weak solutions to gradient flows of functionals with inhomogeneous growth in metric spaces	4
Observability and control of parabolic equations on networks with loops	4
A fully nonlinear Feynman–Kac formula with derivatives of arbitrary orders	4
A first order description of a nonlinear SPDE in the spirit of rough paths	4
A capillary problem for spacelike mean curvature flow in a cone of Minkowski space	4
Semilinear damped wave equations on the Heisenberg group with initial data from Sobolev spaces of negative order	4
Space-time decay rate for 3D compressible Euler equations with damping	4
Epidemic models in measure spaces: persistence, concentration and oscillations	4
A pathwise regularization by noise phenomenon for the evolutionary p-Laplace equation	4
Strong solutions to McKean–Vlasov SDEs with coefficients of Nemytskii type: the time-dependent case	4
Weak and parabolic solutions of advection–diffusion equations with rough velocity field	4
A restricted superposition principle for (non-)linear Fokker–Planck–Kolmogorov equations on Hilbert spaces	4
Nonlinear parabolic stochastic evolution equations in critical spaces part II	4
On the Cahn–Hilliard equation with kinetic rate dependent dynamic boundary condition and non-smooth potential: separation property and long-time behavior	4
Well-posedness for some third-order evolution differential equations: a semigroup approach	4
Existence of solution of a triangular degenerate reaction–diffusion system	4
Strong convergence of weighted gradients in parabolic equations and applications to global generalized solvability of cross-diffusive systems	4
Boundary observability and null-controllability for non-autonomous degenerate hyperbolic equations via energy estimates	4
Drift diffusion equations with fractional diffusion on compact Lie groups	4
Degenerate operators on the half-line	4
The logarithmic Schrödinger equation with spatial white noise on the full space	4
General error estimates of non-conforming approximation of system of reaction–diffusion equations	4
Growth rate of eventually positive Kreiss bounded $$C_0$$-semigroups on $$L^p$$ and $$\mathcal {C}(K)$$	3
Global existence and scattering for the inhomogeneous nonlinear Schrödinger equation	3

A new type distribution-dependent SDE for singular nonlinear PDE	3
Bulk-surface systems on evolving domains	3
Global existence of a nonlinear wave equation arising from Nordström’s theory of gravitation	3
Stability and Gevrey regularity for some transmission systems involving a degenerate parabolic component	3
Self-similarity in homogeneous stationary and evolution problems	3
Shape perturbation of a nonlinear mixed problem for the heat equation	3
Remarks on uniqueness and energy conservation for electron-MHD system	3
Observation estimate for the heat equations with Neumann boundary conditions via logarithmic convexity	3
An application of spectral localization to the critical SQG on a ball	3
Formation of singularities of solutions to a 1D compressible radiation hydrodynamics model with damping relaxation and electric potential	3
On self-similar singularity formation for the binormal flow	3
Stability via closure relations with applications to dissipative and port-Hamiltonian systems	3
On blow-up conditions for nonlinear higher-order evolution inequalities	3
Stability and large-time behavior of the 2D Boussinesq system with mixed partial dissipations near hydrostatic equilibrium	3
Ad hoc test functions for homogenization of compressible viscous fluid with application to the obstacle problem in dimension two	3
Energy distribution of solutions to defocusing semi-linear wave equation in $$\mathbf {d\ge 3}$$	3
Relative energy method for weak–strong uniqueness of the inhomogeneous Navier–Stokes equations far from vacuum	3
Stability for a composite of Timoshenko laminated beams	3
Potential stability of the Fokker–Planck equation	3
Dean–Kawasaki equation with initial condition in the space of positive distributions	3
Entropy solutions to a non-conservative and non-strictly hyperbolic diagonal system inspired by dislocation dynamics	3
Large time behavior of signed fractional porous media equations on bounded domains	3
An example of a weakly mixing $${{\,\textrm{BV}\,}}$$ vector field which is not strongly mixing	3
Complete regularity and strong attractor for the strongly damped wave equation with critical nonlinearities on $$\mathbb {R}^{3}$$	3
Semilinear damped wave equations with data from Sobolev spaces of negative order: the critical case in the Euclidean setting and in the Heisenberg space	3
The Neumann problem for one-dimensional parabolic equations with linear growth Lagrangian: evolution of singularities	3