Hölder continuity of solutions for unsteady generalized Navier-Stokes equations with \(p(x,t)\)-power law in 2D

DOI10.1016/j.jmaa.2022.126632zbMath1498.35438OpenAlexW4293385552MaRDI QIDQ2079571

Evgenii S. Baranovskii, Cholmin Sin

Publication date: 30 September 2022

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2022.126632

zbMATH Keywords

regularityweak solutionHölder continuitygeneralized Navier-Stokes equationsvariable exponent

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Non-Newtonian fluids (76A05) PDEs in connection with fluid mechanics (35Q35) Weak solutions to PDEs (35D30)

Related Items (1)

Time regularity of generalized Navier-Stokes equation with $p(x,t)$-power law

Cites Work

• The existence of strong solutions to steady motion of electrorheological fluids in 3D cubic domain
• Existence of optimal control for a nonlinear-viscous fluid model
• Boundary regularity of shear thickening flows
• New approach to the solvability of generalized Navier-Stokes equations
• A note on the existence and uniqueness of time-periodic electro-rheological flows
• Nonstationary version of Zhikov's compensated compactness lemma and its application to the solvability of the generalized Navier-Stokes equations
• Sobolev, Besov and Nikolskii fractional spaces: Imbeddings and comparisons for vector valued spaces on an interval
• On stationary thermo-rheological viscous flows
• Regularity of flow of anisotropic fluid
• Global-in-time Hölder continuity of the velocity gradients for fluids with shear-dependent viscosities
• 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
• Steady states of anisotropic generalized Newtonian fluids
• The existence of weak solutions for steady flows of electrorheological fluids with nonhomogeneous Dirichlet boundary condition
• Hölder continuity of velocity gradients for shear-thinning fluids under perfect slip boundary conditions
• 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
• Optimal boundary control of nonlinear-viscous fluid flows
• Existence of weak solutions for unsteady motions of generalized Newtonian fluids
• Weakly Differentiable Functions
• A regularity result for stationary electrorheological fluids in two dimensions
• Existence Analysis for a Model Describing Flow of an Incompressible Chemically Reacting Non-Newtonian Fluid
• \(C^{1,\alpha}\)-solutions to a class of nonlinear fluids in two dimensions-stationary Dirichlet problem
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Hölder continuity of solutions for unsteady generalized Navier-Stokes equations with \(p(x,t)\)-power law in 2D