Results 1 to 10 of about 2,783 (131)
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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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 +2 more
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, 2021 The present work deals with the influence of magnetic field on Newtonian fluid sandwiched between two porous cylindrical pipes which are filled with micropolar fluids.
D. Maurya, S. Deo
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On the statistical properties of the 3D incompressible Navier-Stokes-Voigt model [PDF]
, 2009 The Navier-Stokes-Voigt (NSV) model of viscoelastic incompressible fluid has been recently proposed as a regularization of the 3D NavierStokes equations for the purpose of direct numerical simulations.
B. Levant, Fabio Ramos, E. Titi
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Mathematical Modeling and Simulation of Antibubble Dynamics
Numerical Mathematics: Theory, Methods and Applications, 2020 In this study, we propose a mathematical model and perform numerical simulations for the antibubble dynamics. An antibubble is a droplet of liquid surrounded by a thin film of a lighter liquid, which is also in a heavier surrounding fluid.
global sci
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Global well-posedness for the critical 2D dissipative quasi-geostrophic equation [PDF]
, 2006 We give an elementary proof of the global well-posedness for the critical 2D dissipative quasi-geostrophic equation. The argument is based on a non-local maximum principle involving appropriate moduli of continuity.Comment: 7 ...
A. Cordoba +8 more
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The continuum limit of Follow-the-Leader models - a short proof [PDF]
, 2017 We offer a simple and self-contained proof that the Follow-the-Leader model converges to the Lighthill-Whitham-Richards model for traffic ...
Holden, Helge, Risebro, Nils Henrik
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