Viscous Shock Solutions to the Stochastic Burgers Equation
Sign Up to like & getrecommendations! Published in 2021 at "Archive for Rational Mechanics and Analysis"
DOI: 10.1007/s00205-021-01696-7
Abstract: We define a notion of a viscous shock solution of the stochastic Burgers equation that connects "top" and "bottom" spatially stationary solutions of the same equation. Such shocks generally travel in space, but we show… read more here.
Keywords: shock solutions; solutions stochastic; burgers equation; stochastic burgers ... See more keywords
Stochastic Burgers type equations with reflection: Existence, uniqueness
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Differential Equations"
DOI: 10.1016/j.jde.2019.05.008
Abstract: Abstract In this paper, we establish the existence and uniqueness of solutions of reflected stochastic Burgers-type equations. The main difficulty is to deal with the highly non-linear coefficients and the singularities caused by the reflection. read more here.
Keywords: type equations; burgers type; stochastic burgers; reflection ... See more keywords
Strong convergence for explicit space–time discrete numerical approximation methods for stochastic Burgers equations
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2018.09.032
Abstract: In this paper we propose and analyze explicit space-time discrete numerical approximations for additive space-time white noise driven stochastic partial differential equations (SPDEs) with non-globally monotone nonlinearities such as the stochastic Burgers equation with space-time… read more here.
Keywords: explicit space; time discrete; stochastic burgers; space time ... See more keywords
A Study of The Stochastic Burgers' Equation Using The Dynamical Orthogonal Method
Sign Up to like & getrecommendations! Published in 2023 at "Axioms"
DOI: 10.3390/axioms12020152
Abstract: In the current work, the stochastic Burgers’ equation is studied using the Dynamically Orthogonal (DO) method. The DO presents a low-dimensional representation for the stochastic fields. Unlike many other methods, it has a time-dependent property… read more here.
Keywords: orthogonal method; study stochastic; method; burgers equation ... See more keywords