The existence of strong solution for generalized Navier-Stokes equations with \(p(x)\)-power law under Dirichlet boundary conditions

DOI10.1155/2021/6755411zbMath1481.35313OpenAlexW4200469736MaRDI QIDQ2064711

Cholmin Sin

Publication date: 6 January 2022

Published in: Advances in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2021/6755411

Mathematics Subject Classification ID

Non-Newtonian fluids (76A05) Navier-Stokes equations (35Q30) Magnetohydrodynamics and electrohydrodynamics (76W05) Reaction effects in flows (76V05) Strong solutions to PDEs (35D35)

Related Items (1)

\(C^{1, \alpha}\)-regularity for steady flows of electrorheological fluids in 2D

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The existence of strong solutions to steady motion of electrorheological fluids in 3D cubic domain
• Boundary regularity of shear thickening flows
• Lebesgue and Sobolev spaces with variable exponents
• On the \(W ^{2,q }\)-regularity of incompressible fluids with shear-dependent viscosities: The shear-thinning case
• Navier-Stokes equations with shear-thickening viscosity. Regularity up to the boundary
• Navier-Stokes equations with shear thinning viscosity. Regularity up to the boundary
• On stationary thermo-rheological viscous flows
• On the global regularity of shear thinning flows in smooth domains
• On the Ladyzhenskaya-Smagorinsky turbulence model of the Navier-Stokes equations in smooth domains. The regularity problem
• A note on the global regularity of steady flows of generalized Newtonian fluids
• Regularity of flow of anisotropic fluid
• On the \(C^{1,\gamma}(\overline \varOmega)\cap W^{2,2}(\varOmega) \) regularity for a class of electro-rheological fluids
• Boundary partial regularity for steady flows of electrorheological fluids in 3D bounded domains
• Global regularity of weak solutions for steady motions of electrorheological fluids in 3D smooth domain
• Boundary partial \(C^{1, \alpha }\)-regularity for stationary shear thickening flows in 3D
• A lemma on the higher integrability of functions with applications to the regularity theory of two-dimensional generalized Newtonian fluids
• Interior differentiability of weak solutions to the equations of stationary motion of a class of non-Newtonian fluids
• Regularity results for stationary electro-rheological fluids
• Global regularity for systems with \(p\)-structure depending on the symmetric gradient
• Global regularity properties of steady shear thinning flows
• Interior regularity to the steady incompressible shear thinning fluids with non-standard growth
• On non-Newtonian p-fluids. The pseudo-plastic case
• Existence of local strong solutions for motions of electrorheological fluids in three dimensions
• \(C^{1,\alpha}\)-regularity for electrorheological fluids in two dimensions
• Regularity of flows of a non-Newtonian fluid subject to Dirichlet boundary conditions
• Stationary electro-rheological fluids: Low order regularity for systems with discontinuous coefficients
• Anisotropic variable exponent Sobolev spaces and -Laplacian equations
• On the regularity of flows with Ladyzhenskaya Shear-dependent viscosity and slip or non-slip boundary conditions
• A regularity result for stationary electrorheological fluids in two dimensions
• Regularity of weak solutions to a class of nonlinear problem with non-standard growth conditions
• Existence Analysis for a Model Describing Flow of an Incompressible Chemically Reacting Non-Newtonian Fluid
• On Lipschitz truncations of Sobolev functions (with variable exponent) and their selected applications
• \(C^{1,\alpha}\)-solutions to a class of nonlinear fluids in two dimensions-stationary Dirichlet problem
• On weak solutions to a class of non-Newtonian incompressible fluids in bounded three-dimensional domains: The case \(p\geq 2\)

This page was built for publication: The existence of strong solution for generalized Navier-Stokes equations with \(p(x)\)-power law under Dirichlet boundary conditions