OOIR: Observatory of International Research

Papers

(The median citation count of Stochastics and Partial Differential Equations-Analysis and Computatio is 1. 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 2020-11-01 to 2024-11-01.)

Article	Citations
Central limit theorems for spatial averages of the stochastic heat equation via Malliavin–Stein’s method	13
From additive to transport noise in 2D fluid dynamics	12
Central limit theorems for stochastic wave equations in dimensions one and two	9
Invariant Gibbs measures for the three-dimensional wave equation with a Hartree nonlinearity I: measures	7
Quantitative normal approximations for the stochastic fractional heat equation	6
Delayed blow-up and enhanced diffusion by transport noise for systems of reaction–diffusion equations	5
Well-posedness for a stochastic 2D Euler equation with transport noise	5
Well-posedness and asymptotic behavior of stochastic convective Brinkman–Forchheimer equations perturbed by pure jump noise	5
The stochastic Fisher-KPP Equation with seed bank and on/off branching coalescing Brownian motion	5
Regularisation by regular noise	5
Anisotropic Gaussian random fields: criteria for hitting probabilities and applications	5
LDP and CLT for SPDEs with transport noise	4
Strong convergence rates for explicit space-time discrete numerical approximations of stochastic Allen-Cahn equations	4
A note on log–log blow up solutions for stochastic nonlinear Schrödinger equations	4
Space-time Euler discretization schemes for the stochastic 2D Navier–Stokes equations	4
Gaussian fluctuations of a nonlinear stochastic heat equation in dimension two	3
$$L^2$$-theory for transition semigroups associated to dissipative systems	3
A maximal $$L_p$$-regularity theory to initial value problems with time measurable nonlocal operators generated by additive processes	3
Existence of strong solutions for Itô’s stochastic equations via approximations: revisited	3
An extension of the sewing lemma to hyper-cubes and hyperbolic equations driven by multi-parameter Young fields	3
The hyperbolic Anderson model: moment estimates of the Malliavin derivatives and applications	3
Stationary stochastic Navier–Stokes on the plane at and above criticality	3
Absolute continuity of the solution to stochastic generalized Burgers–Huxley equation	3
Numerical approximation of nonlinear SPDE’s	3
Stochastic homogenization of the Landau–Lifshitz–Gilbert equation	3

Analysis of Chorin-type projection methods for the stochastic Stokes equations with general multiplicative noise	3
Interpolating the stochastic heat and wave equations with time-independent noise: solvability and exact asymptotics	3
Doubly nonlinear stochastic evolution equations II	3
The exit from a metastable state: concentration of the exit point distribution on the low energy saddle points, part 2	3
Two dimensional nonlinear Schrödinger equation with spatial white noise potential and fourth order nonlinearity	3
Mixing rates for Hamiltonian Monte Carlo algorithms in finite and infinite dimensions	3
Norm inflation for a non-linear heat equation with gaussian initial conditions	3
Behavior of solutions to the 1D focusing stochastic nonlinear Schrödinger equation with spatially correlated noise	3
Local martingale solutions and pathwise uniqueness for the three-dimensional stochastic inviscid primitive equations	2
Matching upper and lower moment bounds for a large class of stochastic PDEs driven by general space-time Gaussian noises	2
Local times for systems of non-linear stochastic heat 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
Stochastic resonance in stochastic PDEs	2
Correction to: Uniqueness for nonlinear Fokker–Planck equations and weak uniqueness for McKean-Vlasov SDEs	2
Large deviations principle for the invariant measures of the 2D stochastic Navier–Stokes equations with vanishing noise correlation	2
A linear stochastic biharmonic heat equation: hitting probabilities	2
A numerical method for a nonlocal diffusion equation with additive noise	2
Stochastic evolution equations with Lévy noise in the dual of a nuclear space	2
Multilevel quadrature for elliptic problems on random domains by the coupling of FEM and BEM	2
Global well-posedness and long-time behavior of the fractional NLS	2
Non-uniqueness in law of three-dimensional Navier–Stokes equations diffused via a fractional Laplacian with power less than one half	2
Well-posedness for a stochastic Camassa–Holm type equation with higher order nonlinearities	2
Moderate deviations for fully coupled multiscale weakly interacting particle systems	2
Existence and uniqueness of maximal solutions to SPDEs with applications to viscous fluid equations	2
Sticky nonlinear SDEs and convergence of McKean–Vlasov equations without confinement	2
Existence and probabilistic representation of the solutions of semilinear parabolic PDEs with fractional Laplacians	2
Uniqueness of martingale solutions for the stochastic nonlinear Schrödinger equation on 3d compact manifolds	2
Maximal inequalities for stochastic convolutions and pathwise uniform convergence of time discretisation schemes	2
Wellposedness and regularity estimates for stochastic Cahn–Hilliard equation with unbounded noise diffusion	1
Log-Harnack inequality for reflected SPDEs driven by multiplicative noises and its applications	1
A derivative-free Milstein type approximation method for SPDEs covering the non-commutative noise case	1
Statistical solutions for the Navier–Stokes–Fourier system	1
The strong trace property and the Neumann problem for stochastic conservation laws	1
Variations of the solution to a fourth order time-fractional stochastic partial integro-differential equation	1
A branching particle system approximation for solving partially observed stochastic optimal control problems via stochastic maximum principle	1
Hypocoercivity for non-linear infinite-dimensional degenerate stochastic differential equations	1
The cutoff phenomenon for the stochastic heat and wave equation subject to small Lévy noise	1
Strong Feller semigroups and Markov processes: a counterexample	1
Quasi-invariance of Gaussian measures for the periodic Benjamin-Ono-BBM equation	1
Exact targeting of gibbs distributions using velocity-jump processes	1
Multilevel Monte Carlo FEM for elliptic PDEs with Besov random tree priors	1
Non-linear Young equations in the plane and pathwise regularization by noise for the stochastic wave equation	1
Correction to: Convergent numerical approximation of the stochastic total variation flow	1
A regularity theory for stochastic partial differential equations driven by multiplicative space-time white noise with the random fractional Laplacians	1
Well posedness and stochastic derivation of a diffusion-growth-fragmentation equation in a chemostat	1
Statistical null-controllability of stochastic nonlinear parabolic equations	1
An $$L_q(L_p)$$-theory for space-time non-local equations generated by Lévy processes with low intensity of small jumps	1
The stochastic tamed MHD equations: existence, uniqueness and invariant measures	1
Total variation distance between a jump-equation and its Gaussian approximation	1
Analysis of fully discrete mixed finite element scheme for stochastic Navier–Stokes equations with multiplicative noise	1

Discrete approximation of the viscous HJ equation	1
Global existence and non-uniqueness for the Cauchy problem associated to 3D Navier–Stokes equations perturbed by transport noise	1
The stochastic primitive equations with transport noise and turbulent pressure	1
A K-rough path above the space-time fractional Brownian motion	1
Three-dimensional stochastic cubic nonlinear wave equation with almost space-time white noise	1
Feynman–Kac formula for perturbations of order $$\le 1$$, and noncommutative geometry	1
Local strong solutions to the stochastic third grade fluid equations with Navier boundary conditions	1
Importance sampling for stochastic reaction–diffusion equations in the moderate deviation regime	1
Invariant measures and global well-posedness for a fractional Schrödinger equation with Moser-Trudinger type nonlinearity	1
Backward and forward filtering under the weak Hörmander condition	1
Paracontrolled calculus for quasilinear singular PDEs	1
Degenerate Kolmogorov equations and ergodicity for the stochastic Allen–Cahn equation with logarithmic potential	1
Inviscid limit for stochastic second-grade fluid equations	1
Convergence of stratified MCMC sampling of non-reversible dynamics	1
An improved characterisation of regular generalised functions of white noise and an application to singular SPDEs	1
Lewy–Stampacchia’s inequality for a stochastic T-monotone obstacle problem	1
Path continuity of Markov processes and locality of Kolmogorov operators	1
Subordinated Gaussian random fields in elliptic partial differential equations	1
Averaging principle and normal deviations for multi-scale stochastic hyperbolic–parabolic equations	1
Invariant measures for multidimensional fractional stochastic volatility models	1
On the energy transfer to high frequencies in the damped/driven nonlinear Schrödinger equation	1
Strong solutions of semilinear SPDEs with unbounded diffusion	1