Zobrazeno 1 - 10
of 42
pro vyhledávání: '"Marroquin, Daniel"'
Autor:
Marroquin, Daniel, Wang, Dehua
We consider the compressible Poisson-Nernst-Planck-Navier-Stokes (PNPNS) system of equations, governing the transport of charged particles under the influence of the self-consistent electrostatic potential, in a three-dimensional bounded domain. We p
Externí odkaz:
http://arxiv.org/abs/2401.11306
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 assumption of Lipschitz continuity of the flux and viscosity functions and a
Externí odkaz:
http://arxiv.org/abs/2212.00129
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 functions and a non-degeneracy condition. We show the existence and u
Externí odkaz:
http://arxiv.org/abs/2209.00479
We establish the well-posedness of an initial-boundary value problem of mixed type for a stochastic nonlinear parabolic-hyperbolic equation on a space domain $\cO=\cO'\X\cO''$ where a Neumann boundary condition is imposed on $\po\cO'\X\cO"$, the hype
Externí odkaz:
http://arxiv.org/abs/2201.09713
It has been known, since the pioneering works by Serre, Hoff, Va\u{i}gant-Kazhikhov, Lions and Feireisl, among others, the regularizing properties of the effective viscous flux and its characterization as the function whose gradient is the gradient p
Externí odkaz:
http://arxiv.org/abs/2010.04850
We consider the generalized almost periodic homogenization problem for two different types of stochastic conservation laws with oscillatory coefficients and multiplicative noise. In both cases the stochastic perturbations are such that the equation a
Externí odkaz:
http://arxiv.org/abs/2006.02045
Publikováno v:
In Journal of Differential Equations 15 December 2023 376:39-70
Publikováno v:
In Journal of Functional Analysis 1 November 2023 285(9)
We establish the well-posedness of the Neumann problem for stochastic conservation laws with multiplicative noise. As a major step for establishing the uniqueness of the kinetic solution to the referred problem we establish the new strong trace prope
Externí odkaz:
http://arxiv.org/abs/1910.04845
We prove existence and uniqueness of smooth solutions with large initial data for a system of equations modeling the interaction of short waves, governed by a nonlinear Schr\"odinger equation, and long waves, described by the equations of magnetohydr
Externí odkaz:
http://arxiv.org/abs/1905.13270