Results 1 to 10 of about 448 (85)
Remarks on a Liouville-type theorem for Beltrami flows [PDF]
arXiv, 2014 We present a simple, short and elementary proof that if $v$ is a Beltrami flow with a finite energy in $\mathbb R^3$ then $v=0$. In the case of the Beltrami flows satisfying $v\in L^\infty _{loc} (\Bbb R^3) \cap L^q(\Bbb R^3)$ with $q\in [2, 3)$, or $|v(x)|=O(1/|x|^{1+\varepsilon})$ for some $\varepsilon >0$, we provide a different, simple proof that ...
D. Chae, P. Constantin
arxiv +3 more sources
Journal of Partial Differential Equations, 2021 We investigate the global existence of smooth solutions to the three dimensional generalized Hall-MHD system with mixed partial viscosity in this work.
Yuzhu Wang
semanticscholar +1 more source
, 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
semanticscholar +1 more source
Advances in Nonlinear Analysis, 2022 We investigate optimal decay rates for higher–order spatial derivatives of strong solutions to the 3D Cauchy problem of the compressible viscous quantum magnetohydrodynamic model in the H5 × H4 × H4 framework, and the main novelty of this work is three ...
Wang Juan, Zhang Yinghui
doaj +1 more source
Kragujevac Journal of Science, 2020 This paper consists of a mathematical analysis of MHD free convective flow of viscoelastic fluid through a porous regime in an inclined channel. The flow system is permeated by a uniform moving magnetic field with strong magnetic intensity to produce ...
Singh Kumar, S. Vishwanath
semanticscholar +1 more source
Homotopy Perturbation Analysis in an energy transit problem closed to a Stretching Surface
, 2021 Article History:Received:11 november 2020; Accepted: 27 December 2020; Published online: 05 April 2021 ABSTRACT : Present study explored the influence of stretching constraint in addition with inclusion of energy. An analytical solution for the system of
Manoj Kumar Sarma Et.al
semanticscholar +1 more source
Small solitons and multisolitons in the generalized Davey-Stewartson system
Advances in Nonlinear Analysis, 2022 By introducing and solving a new cross-constrained variational problem, a one-to-one correspondence from the prescribed mass to frequency of soliton is established for the generalized Davey-Stewartson system in two-dimensional space. Orbital stability of
Bai Mengxue, Zhang Jian, Zhu Shihui
doaj +1 more source
Global well-posedness of the full compressible Hall-MHD equations
Advances in Nonlinear Analysis, 2021 This paper deals with a Cauchy problem of the full compressible Hall-magnetohydrodynamic flows. We establish the existence and uniqueness of global solution, provided that the initial energy is suitably small but the initial temperature allows large ...
Tao Qiang, Zhu Canze
doaj +1 more source
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
doaj +1 more source
Well posedness of magnetohydrodynamic equations in 3D mixed-norm Lebesgue space
Open Mathematics, 2022 In this paper, we introduce a new metric space called the mixed-norm Lebesgue space, which allows its norm decay to zero with different rates as ∣x∣→∞| x| \to \infty in different spatial directions.
Liu Yongfang, Zhu Chaosheng
doaj +1 more source