Results 11 to 20 of about 172 (152)

Remark on Regularity Criterion for Weak Solutions to 3D Shear Thinning Fluids

Advances in Mathematical Physics
MSC2010 Classification: 76D05 ...
Jae-Myoung Kim
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Blow-up criterion of smooth solutions for magneto-micropolar fluid equations with partial viscosity [PDF]

Boundary Value Problems, 2011
In this paper, we investigate the Cauchy problem for the incompressible magneto-micropolar fluid equations with partial viscosity in ℝn(n = 2, 3). We obtain a Beale-Kato-Majda type blow-up criterion of smooth solutions. MSC (2010): 76D03; 35Q35.
Wang Yu-Zhu, Li Yifang, Wang Yin-Xia
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A fixed point approach to the semi-linear Stokes problem [PDF]

, 2023
The aim of this paper is to study the Dirichlet problem for semi-linear Stokes equations. The approach of this study is based on the operator method, using abstract results of nonlinear functional analysis.
BRUMAR , David
core   +1 more source

Kolmogorov’s theory of turbulence and its rigorous 1d model

, 2021
International audienceThis paper is a synopsis of the recent book [9]. The latter is dedicated to the stochastic Burgers equation as a model for 1d turbulence, and the paper discusses its content in relation to the Kolmogorov theory of turbulence.[9 ...
Kuksin, Sergei
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The lifespan of spherically symmetric solutions of the compressible Euler equations outside an impermeable sphere [PDF]

, 2009
Keywords: compressible Euler equations, exterior initial-boundary value problem, spherically symmetric solutions, lifespan.
Godin, Paul
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Weak-strong uniqueness and energy-variational solutions for a class of viscoelastoplastic fluid models

Advances in Nonlinear Analysis, 2022
We study a model for a fluid showing viscoelastic and viscoplastic behavior, which describes the flow in terms of the fluid velocity and a symmetric deviatoric stress tensor.
Eiter Thomas, Hopf Katharina, Lasarzik Robert   +2 more
doaj   +1 more source

Two-phase flow in rotating Hele-Shaw cells with Coriolis effects [PDF]

, 2013
The free boundary problem of a two phase flow in a rotating Hele-Shaw cell with Coriolis effects is studied. Existence and uniqueness of solutions near spheres is established, and the asymptotic stability and instability of the trivial solution is ...
Escher, Joachim, Guidotti, Patrick, Walker, Christoph   +2 more
core   +1 more source

An optimized SPDMFE extrapolation approach based on the POD technique for 2D viscoelastic wave equation [PDF]

, 2017
An optimized splitting positive definite mixed finite element (SPDMFE) extrapolation approach based on proper orthogonal decomposition (POD) technique is developed for the two-dimension viscoelastic wave equation (2DVWE).
Luo, Zhendong, Zhendong Luo, Teng, Fei, Fei Teng   +3 more
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Multiscale homogenization of a class of nonlinear equations with applications in lubrication theory and applications

Journal of Function Spaces, Volume 9, Issue 1, Page 17-40, 2011., 2011
We prove a homogenization result for monotone operators by using the method of multiscale convergence. More precisely, we study the asymptotic behavior as ε → 0 of the solutions uε of the nonlinear equation div⁡aε(x, ∇uε) = div⁡bε, where both aε and bε oscillate rapidly on several microscopic scales and aε satisfies certain continuity, monotonicity and
Andreas Almqvist, Emmanuel Kwame Essel, John Fabricius, Peter Wall, Björn Birnir   +4 more
wiley   +1 more source

Inviscid, zero Froude number limit of the viscous shallow water system

Open Mathematics, 2021
In this paper, we study the inviscid and zero Froude number limits of the viscous shallow water system. We prove that the limit system is represented by the incompressible Euler equations on the whole space.
Yang Jianwei, Liu Mengyu, Hao Huiyun
doaj   +1 more source