Results 11 to 20 of about 56 (50)

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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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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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  

Global existence and decay estimates of the classical solution to the compressible Navier-Stokes-Smoluchowski equations in ℝ3

Advances in Nonlinear Analysis
The compressible Navier-Stokes-Smoluchowski equations under investigation concern the behavior of the mixture of fluid and particles at a macroscopic scale. We devote to the existence of the global classical solution near the stationary solution based on
Tong Leilei
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Asymptotic analysis of Leray solution for the incompressible NSE with damping

Demonstratio Mathematica
In 2008, Cai and Jiu showed that the Cauchy problem of the Navier-Stokes equations, with damping α∣u∣β−1u\alpha {| u| }^{\beta -1}u for α>0\alpha \gt 0 and β≥1\beta \ge 1 has global weak solutions in L2(R3){L}^{2}\left({{\mathbb{R}}}^{3}).
Blel Mongi, Benameur Jamel
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Existence of global smooth solutions for non-isentropic compressible Euler equations with time-dependent damping

Demonstratio Mathematica
In this paper, we consider the non-isentropic compressible Euler equations with time-dependent damping −α(t)u in one space ...
Sui Ying, Li Zhiyu, Zhang Jianzhong
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Initial boundary value problem and exponential stability for the planar magnetohydrodynamics equations with temperature-dependent viscosity

Advances in Nonlinear Analysis
In this study, we consider the initial boundary value problem of the planar magnetohydrodynamics (MHD) system when the viscous coefficients and heat conductivity depend on the temperature, which are assumed to be proportional to θα{\theta }^{\alpha }, α ...
Shang Zhaoyang, Yang Erjia
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Smooth imploding solutions for 3D compressible fluids

Forum of Mathematics, Pi
Building upon the pioneering work of Merle, Raphaël, Rodnianski and Szeftel [67, 68, 69], we construct exact, smooth self-similar imploding solutions to the 3D isentropic compressible Euler equations for ideal gases for all adiabatic exponents ...
Tristan Buckmaster, Gonzalo Cao-Labora, Javier Gómez-Serrano   +2 more
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Nishida–Smoller type large solutions and exponential growth for the compressible Navier–Stokes equations with slip boundary conditions in 3D bounded domain

European Journal of Applied Mathematics
This paper concerns the isentropic compressible Navier–Stokes equations in a three-dimensional (3D) bounded domain with slip boundary conditions and vacuum.
Saiguo Xu, Yinghui Zhang
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On the global large regular solutions of the 1D degenerate compressible Navier-Stokes equations

Advances in Nonlinear Analysis
When the viscosity coefficients depend on the mass density ρ\rho in the power ρδ(δ>0){\rho }^{\delta }\left(\delta \gt 0), the existence of smooth solutions with vacuum of the compressible Navier-Stokes equations have received extensive attentions in ...
Cao Yue, Jiang Xun, Xi Shuai
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