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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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Regularity for 3-D MHD Equations in Lorentz Space $L^{3,∞}$

Communications in Mathematical Research, 2023
The regularity for 3-D MHD equations is considered in this paper, it is proved that the solutions (v,B,p) are Hölder continuous if the velocity field v∈L∞(0,T;L x (R 3)) with local small condition r ∣∣ { x∈Br(x0) : |v(x,t0)|> εr −1 ∣∣≤ ε and the magnetic
Xian-gao Liu, Yueli Liu, Zixuan Liu
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A Colocalized Scheme for Three-Temperature Grey Diffusion Radiation Hydrodynamics

Communications in Computational Physics, 2022
A positivity-preserving, conservative and entropic numerical scheme is presented for the three-temperature grey diffusion radiation hydrodynamics model.
R. Chauvin
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Stratified Radiative Transfer in a Fluid and Numerical Applications to Earth Science

SIAM Journal on Numerical Analysis, 2022
New mathematical results are given for the Radiative Transfer equations alone and coupled with the temperature equation of a fluid: existence, uniqueness, a maximum principle and a convergent monotone iterative scheme.
F. Golse, O. Pironneau
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Zero Viscosity-Diffusivity Limit for the Incompressible Boussinesq Equations in Gevrey Class

Communications in Mathematical Research, 2022
In this paper, we study the zero viscosity-diffusivity limit for the incompressible Boussinesq equations in a periodic domain in the framework of Gevrey class. We first prove that there exists an interval of time, independent of the viscosity coefficient
F. Cheng
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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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Nonstationary Poiseuille flow of a non-Newtonian fluid with the shear rate-dependent viscosity

Advances in Nonlinear Analysis, 2022
A nonstationary Poiseuille flow of a non-Newtonian fluid with the shear rate dependent viscosity is considered. This problem is nonlinear and nonlocal in time and inverse to the nonlinear heat equation.
Panasenko Grigory, Pileckas Konstantin
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Stability estimate for the semi-discrete linearized Benjamin-Bona-Mahony equation

, 2021
In this work we study the semi-discrete linearized Benjamin-Bona-Mahony equation (BBM) which is a model for propagation of one-dimensional, unidirectional, small amplitude long waves in non-linear dispersive media.
R. Lecaros, Jaime H. Ortega, Ariel Pérez   +2 more
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On a blow-up criterion for solution of 3D fractional Navier-Stokes-Coriolis equations in Lei-Lin-Gevrey spaces

Open Mathematics, 2023
In this article, we researched the existence of the solution to the fractional Navier-Stokes equations with the Coriolis force under initial data, which belong to the Lei-Lin-Gevrey spaces.
Sun Xiaochun, Xu Gaoting, Wu Yulian
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Chemotaxis-Stokes interaction with very weak diffusion enhancement: Blow-up exclusion via detection of absorption-induced entropy structures involving multiplicative couplings

Advanced Nonlinear Studies, 2022
The chemotaxis–Stokes system nt+u⋅∇n=∇⋅(D(n)∇n)−∇⋅(nS(x,n,c)⋅∇c),ct+u⋅∇c=Δc−nc,ut=Δu+∇P+n∇Φ,∇⋅u=0,\left\{\begin{array}{l}{n}_{t}+u\cdot \nabla n=\nabla \cdot (D\left(n)\nabla n)-\nabla \cdot (nS\left(x,n,c)\cdot \nabla c),\\ {c}_{t}+u\cdot \nabla c ...
Winkler Michael
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