Results 1 to 10 of about 2,584 (111)
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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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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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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Open Mathematics, 2022 This article investigates the spatial behavior of the solutions of the Brinkman equations in a semi-infinite cylinder. We no longer require the solutions to satisfy any a priori assumptions at infinity.
Li Yuanfei, Chen Xuejiao
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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
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Advances in Nonlinear Analysis, 2021 We study the initial-boundary value problems of the three-dimensional compressible elastic Navier-Stokes-Poisson equations under the Dirichlet or Neumann boundary condition for the electrostatic potential.
Wang Yong, Wu Wenpei
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On regular solutions to compressible radiation hydrodynamic equations with far field vacuum
Advances in Nonlinear Analysis, 2022 The Cauchy problem for three-dimensional (3D) isentropic compressible radiation hydrodynamic equations is considered. When both shear and bulk viscosity coefficients depend on the mass density ρ\rho in a power law ρδ{\rho }^{\delta } (with ...
Li Hao, Zhu Shengguo
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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
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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
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