OOIR: Observatory of International Research

Papers

(The TQCC of Stochastics and Partial Differential Equations-Analysis and Computatio 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 2021-05-01 to 2025-05-01.)

Article	Citations
An $$L_q(L_p)$$-theory for space-time non-local equations generated by Lévy processes with low intensity of small jumps	15
Interpolating the stochastic heat and wave equations with time-independent noise: solvability and exact asymptotics	14
Inviscid limit for stochastic second-grade fluid equations	14
Stationary solutions for the nonlinear Schrödinger equation	9
Existence and probabilistic representation of the solutions of semilinear parabolic PDEs with fractional Laplacians	7
Well-posedness for a stochastic 2D Euler equation with transport noise	6
Higher order homogenization for random non-autonomous parabolic operators	6
From additive to transport noise in 2D fluid dynamics	6
Optimal decay of the parabolic semigroup in stochastic homogenization for correlated coefficient fields	6
Global existence for the stochastic Navier–Stokes equations with small $$L^{p}$$ data	6
A central limit theorem for nonlinear conservative SPDEs	5
Averaging principle and normal deviations for multi-scale stochastic hyperbolic–parabolic equations	5
Bismut-Stroock Hessian formulas and local Hessian estimates for heat semigroups and harmonic functions on Riemannian manifolds	5
Regularity theory for a new class of fractional parabolic stochastic evolution equations	5
Trace theorem and non-zero boundary value problem for parabolic equations in weighted Sobolev spaces	5
Mixing rates for Hamiltonian Monte Carlo algorithms in finite and infinite dimensions	4
Quasi-invariance of Gaussian measures for the periodic Benjamin-Ono-BBM equation	4
Optimal convergence order for multi-scale stochastic Burgers equation	4
Multilevel Monte Carlo FEM for elliptic PDEs with Besov random tree priors	4
Existence of weak solutions to SPDEs with fractional Laplacian and non-Lipschitz coefficients	4
A linear stochastic biharmonic heat equation: hitting probabilities	3
Strong Feller semigroups and Markov processes: a counterexample	3
Transport noise restores uniqueness and prevents blow-up in geometric transport equations	3
Stochastic fractional conservation laws: large deviation principle, central limit theorem and moderate deviation principle	3
Lewy–Stampacchia’s inequality for a stochastic T-monotone obstacle problem	3

Statistical solutions for the Navier–Stokes–Fourier system	3
Preface	3
Regularity of random elliptic operators with degenerate coefficients and applications to stochastic homogenization	3
Numerical approximation of nonlinear SPDE’s	3
Temporal fractal nature of linearized Kuramoto–Sivashinsky SPDEs and their gradient in one-to-three dimensions	3
Delayed blow-up and enhanced diffusion by transport noise for systems of reaction–diffusion equations	3
$$L^2$$-theory for transition semigroups associated to dissipative systems	3
Rate of convergence of a semi-implicit time euler scheme for a 2D bénard–boussinesq model	3
Global dissipative martingale solutions to the variational wave equation with stochastic forcing	3
Renormalization of stochastic nonlinear heat and wave equations driven by subordinate cylindrical Brownian noises	3
Statistical null-controllability of stochastic nonlinear parabolic equations	3
Mixing for the primitive equations under bounded non-degenerate noise	3
Global martingale solutions for stochastic Shigesada–Kawasaki–Teramoto population models	2
Space-time Euler discretization schemes for the stochastic 2D Navier–Stokes equations	2
An application of the splitting-up method for the computation of a neural network representation for the solution for the filtering equations	2
On partially observed jump diffusions III: regularity of the filtering density	2
A counterexample to the strong Skorokhod representation theorem	2
Pathwise uniqueness for singular stochastic Volterra equations with Hölder coefficients	2
Estimates in $$L_{p}$$ for solutions of SPDEs with coefficients in Morrey classes	2
Hitting properties of generalized fractional kinetic equation with time-fractional noise	2
Non-linear Young equations in the plane and pathwise regularization by noise for the stochastic wave equation	2
Asymptotic stability of evolution systems of probability measures of stochastic discrete modified Swift–Hohenberg equations	2
A regularity theory for stochastic generalized Burgers’ equation driven by a multiplicative space-time white noise	2
A note on log–log blow up solutions for stochastic nonlinear Schrödinger equations	2
Analysis and computations of a stochastic Cahn–Hilliard model for tumor growth with chemotaxis and variable mobility	2
Multidimensional stable driven McKean–Vlasov SDEs with distributional interaction kernel: a regularization by noise perspective	2
Phase transitions in asymptotically singular anderson hamiltonian and parabolic model	2
Exact targeting of gibbs distributions using velocity-jump processes	2
Three-dimensional stochastic cubic nonlinear wave equation with almost space-time white noise	2
Central limit theorems for stochastic wave equations in dimensions one and two	2
LDP and CLT for SPDEs with transport noise	2
Local strong solutions to the stochastic third grade fluid equations with Navier boundary conditions	2