## Journals

- Advances in Mathematics of Communications
- Big Data & Information Analytics
- Communications on Pure & Applied Analysis
- Discrete & Continuous Dynamical Systems - A
- Discrete & Continuous Dynamical Systems - B
- Discrete & Continuous Dynamical Systems - S
- Evolution Equations & Control Theory
- Inverse Problems & Imaging
- Journal of Computational Dynamics
- Journal of Dynamics & Games
- Journal of Geometric Mechanics
- Journal of Industrial & Management Optimization
- Journal of Modern Dynamics
- Kinetic & Related Models
- Mathematical Biosciences & Engineering
- Mathematical Control & Related Fields
- Mathematical Foundations of Computing
- Networks & Heterogeneous Media
- Numerical Algebra, Control & Optimization
- AIMS Mathematics
- Conference Publications
- Electronic Research Announcements
- Mathematics in Engineering

### Open Access Journals

KRM

In this paper, we establish the existence of a martingale solution to the stochastic incompressible Hall-MHD systems with Lévy noises in a bounded domain. The proof is based on a new method, i.e., the time splitting method and the stochastic compactness method.

DCDS

In this paper, the compressible magnetohydrodynamic equations
without heat conductivity are considered in $\mathbb{R}^3$. The
global solution is obtained by combining the local existence and a
priori estimates under the smallness assumption on the initial
perturbation in $H^l (l>3)$. But we don't need the bound of $L^1$
norm. This is different from the work [5]. Our proof is based on pure estimates to get the time decay
estimates on the pressure, velocity and magnet field. In particular,
we use a fast decay of velocity gradient to get the uniform bound of
the non-dissipative entropy, which is sufficient to close the priori
estimates. In addition, we study the optimal convergence rates of
the global solution.

DCDS

We consider the compressible barotropic Navier-Stokes-Korteweg system with friction in this paper.
The global solutions and optimal convergence rates are obtained by pure energy method provided the initial perturbation
around a constant state is small enough. In particular, the decay rates
of the higher-order spatial derivatives of the solution are
obtained. Our proof is based on a family of scaled energy estimates
and interpolations among them without linear decay analysis.

## Year of publication

## Related Authors

## Related Keywords

[Back to Top]