The aim of this article is to show the global existence of both martingale and pathwise
solutions of stochastic equations with a monotone operator, of the Ladyzenskaya …

This paper is concerned about stochastic convective Brinkman–Forchheimer (SCBF)
equations subjected to multiplicative pure jump noise in bounded or periodic domains. Our …

In this work, we consider the three-dimensional viscoelastic fluid flow equations, arising from
the motion of Kelvin-Voigt fluids in bounded and unbounded domains. We investigate the …

In this study, we explore the theoretical and numerical aspects of the generalized Burgers-
Huxley equation (a non-linear advection-diffusion-reaction problem) incorporating weakly …

In this work, we consider the two-dimensional viscoelastic fluid flow equations, arising from
the Oldroyd model for the non-Newtonian fluid flows. We investigate the well-posedness of …

In this work, we establish the unique global solvability of the stochastic two dimensional
viscoelastic fluid flow equations, arising from the Oldroyd model for the non-Newtonian fluid …

The asymptotic analysis of a class of stochastic partial differential equations (SPDEs) with
fully local monotone coefficients covering a large variety of physical systems, a wide class of …

We establish the existence and uniqueness of a local smooth solution to the Cauchy
problem for the Hall-magnetohydrodynamics system that is inviscid, resistive, and forced by …

In this article, we consider the following class of stochastic partial differential equations
(SPDEs): d X (t)= A (t, X (t)) dt+ B (t, X (t)) dW (t)+∫ Z γ (t, X (t-), z) π~(dt, dz), t∈[0, T], X (0) …

In this article, we establish the unique global solvability of a 2D stochastic Cahn–Hilliard–
Oldroyd model of order one, for the motion of an incompressible isothermal mixture of two …