Results 21 to 29 of about 651 (29)

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
doaj   +1 more source

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
doaj   +1 more source

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
doaj   +1 more source

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
doaj   +1 more source

On the Regularity for 3D Navier-Stokes Equation

, 2019
This paper deals with the influence of boundary values on the regularity of 3D incompressible Navier-Stokes equation, which is separated into two parts: First part, we consider the potential theory of unsteady 3D Stokes flow.
Lin, Qun
core  

Coupling conditions for the 3x3 Euler system

, 2009
This paper is devoted to the extension to the full $3\times3$ Euler system of the basic analytical properties of the equations governing a fluid flowing in a duct with varying section.
Colombo, Rinaldo M., Marcellini, Francesca   +1 more
core  

On weak-strong uniqueness property for full compressible magnetohydrodynamics flows

Open Mathematics, 2013
Yan Weiping
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Partial regularity of solution to generalized Navier-Stokes problem

Open Mathematics, 2014
Mácha Václav
doaj   +1 more source