3 papers
math.AP2024
On local well-posedness of the stochastic incompressible density-dependent Euler equations
Claudia Espitia, David A. C. Mollinedo, Christian Olivera
In this paper we study the stochastic inhomogeneous incompressible Euler equations in the whole space $\RR^3$. We prove the existence and pathwise uniqueness of local solutions wit…
math.AP2022
Invariant measures for stochastic parabolic-hyperbolic equations in the space of almost periodic functions: Lipschitz flux case
Claudia Espitia, Hermano Frid, Daniel Marroquin
We study the well-posedness and the long-time behavior of almost periodic solutions to stochastic degenerate parabolic-hyperbolic equations in any space dimension, under the assump…
math.AP2022
Invariant measures for stochastic conservation laws with Lipschitz flux in the space of almost periodic functions
Claudia Espitia, Hermano Frid, Daniel Marroquin
We study the long-time behavior of almost periodic solutions to stochastic scalar conservation laws in any space dimension, under the assumption of Lipschitz continuity of the flux…