Results 11 to 20 of about 2,783 (131)
Remark on Regularity Criterion for Weak Solutions to 3D Shear Thinning Fluids
Advances in Mathematical PhysicsWe establish the regularity criterion of weak solutions to the incompressible non‐Newtonian fluids with shear thinning viscosity in the whole space for in viewpoint of Vishik spaces.MSC2010 Classification: 76D05 ...
Jae-Myoung Kim
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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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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 +2 more
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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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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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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, 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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