Results 11 to 20 of about 57 (47)

On non-resistive limit of 1D MHD equations with no vacuum at infinity

Advances in Nonlinear Analysis, 2021
In this paper, the Cauchy problem for the one-dimensional compressible isentropic magnetohydrodynamic (MHD) equations with no vacuum at infinity is considered, but the initial vacuum can be permitted inside the region. By deriving a priori ν (resistivity
Li Zilai, Wang Huaqiao, Ye Yulin
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Global weak solution of 3D-NSE with exponential damping

Open Mathematics, 2022
In this paper, we prove the global existence of incompressible Navier-Stokes equations with damping α(eβ∣u∣2−1)u\alpha \left({e}^{\beta | u{| }^{2}}-1)u, where we use the Friedrich method and some new tools.
Benameur Jamel
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The well-posedness of solution to a compressible non-Newtonian fluid with self-gravitational potential

Open Mathematics, 2018
We study the initial boundary value problem of a compressible non-Newtonian fluid. The system describes the motion of the compressible viscous isentropic gas flow driven by the non-Newtonian self-gravitational force. The existence of strong solutions are
Song Yukun, Chen Shuai, Liu Fengming
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Time decay estimates of solutions to a two-phase flow model in the whole space

Advances in Nonlinear Analysis
In this article, we aim to establish the optimal time decay rates of strong solutions to a two-phase flow model derived from a type of coupled fluid-kinetic equation.
Wu Yakui, Wu Qiong, Zhang Yue
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Global strong solution of compressible flow with spherically symmetric data and density-dependent viscosities

Advances in Nonlinear Analysis
In this article, the Cauchy problem of a compressible Navier-Stokes system with density-dependent viscosities when the initial data are spherically symmetric is considered. Firstly, we construct the classical solution for the system in Ba(t)={r:0≤r≤a(t)}{
Guo Zhenhua, Xu Lei, Zhang Xueyao
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A regularity result for incompressible elastodynamics equations in the ALE coordinates

Advanced Nonlinear Studies
We consider incompressible inviscid elastodynamics equations with a free surface and establish regularity of solutions for these equations. Compared with previous result on this free boundary problem [X. Gu and F.
Xie Binqiang
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Existence and stability of contact discontinuities to piston problems

Advances in Nonlinear Analysis
This study investigates the existence and stability of the contact discontinuity to a piston problem, which is governed by one-dimensional compressible Euler equations under the condition of zero relative velocity between the piston and tube gas.
Zhang Xiaomin, Yu Huimin
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Global existence of a radiative Euler system coupled to an electromagnetic field

Advances in Nonlinear Analysis, 2018
We study the Cauchy problem for a system of equations corresponding to a singular limit of radiative hydrodynamics, namely, the 3D radiative compressible Euler system coupled to an electromagnetic field.
Blanc Xavier, Ducomet Bernard, Nečasová Šárka   +2 more
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Entropy Analysis of Kinetic Flux Vector Splitting Schemes for the Compressible Euler Equations [PDF]

, 1999
Flux Vector Splitting (FVS) scheme is one group of approximate Riemann solvers for the compressible Euler equations. In this paper, the discretized entropy condition of the Kinetic Flux Vector Splitting (KFVS) scheme based on the gas-kinetic theory is ...
Shiu Hong Lui, Xu, Jun, Kun Xu, Shiuhong, Lui   +3 more
core  

Maximal Lp -Lq regularity to the Stokes problem with Navier boundary conditions

Advances in Nonlinear Analysis, 2017
We prove in this paper some results on the complex and fractional powers of the Stokes operator with slip frictionless boundary conditions involving the stress tensor.
Al Baba Hind
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