Non-Newtonian fluids with discontinuous-in-time stress tensor
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Publication:2700661
DOI10.1016/j.jfa.2023.109943OpenAlexW4362466773MaRDI QIDQ2700661
Piotr Gwiazda, Jakub Woźnicki, Jakub Skrzeczkowski, Miroslav Bulíček
Publication date: 27 April 2023
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2209.10695
non-Newtonian fluidincompressible flowMusielak-Orlicz spacenon-standard growthgeneralized Lebesgue space
Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Initial-boundary value problems for second-order parabolic systems (35K51) Partial differential equations of mathematical physics and other areas of application (35Qxx)
Cites Work
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- Convergence analysis for a finite element approximation of a steady model for electrorheological fluids
- Solenoidal Lipschitz truncation and applications in fluid mechanics
- Variable Lebesgue spaces. Foundations and harmonic analysis
- Existence of steady solutions for micropolar electrorheological fluid flows
- Lebesgue and Sobolev spaces with variable exponents
- An existence result for non-Newtonian fluids in non-regular domains
- On steady non-Newtonian fluids with growth conditions in generalized Orlicz spaces
- On the modeling of electrorheological materials
- Regularity results for parabolic systems related to a class of non-Newtonian fluids.
- Gossez's approximation theorems in Musielak-Orlicz-Sobolev spaces
- Nonuniqueness of weak solutions to the Navier-Stokes equation
- Regularity results for stationary electro-rheological fluids
- Unsteady flows of non-Newtonian fluids in generalized Orlicz spaces
- Parabolic equations in Musielak-Orlicz spaces with discontinuous in time \(N\)-function
- Variable exponent Bochner-Lebesgue spaces with symmetric gradient structure
- On a class of generalized solutions to equations describing incompressible viscous fluids
- Non uniqueness of power-law flows
- Parabolic equation in time and space dependent anisotropic Musielak-Orlicz spaces in absence of Lavrentiev's phenomenon
- Parabolic Lipschitz truncation and caloric approximation
- \(C^{1,\alpha}\)-regularity for electrorheological fluids in two dimensions
- Existence of weak solutions to the equations of non-stationary motion of non-Newtonian fluids with shear rate dependent viscosity
- SOLENOIDAL LIPSCHITZ TRUNCATION FOR PARABOLIC PDEs
- On Unsteady Flows of Implicitly Constituted Incompressible Fluids
- ON NON-NEWTONIAN FLUIDS WITH A PROPERTY OF RAPID THICKENING UNDER DIFFERENT STIMULUS
- Existence of weak solutions for unsteady motions of generalized Newtonian fluids
- An existence result for fluids with shear dependent viscosity — Steady flows
- On Analysis of Steady Flows of Fluids with Shear-Dependent Viscosity Based on the Lipschitz Truncation Method
- Finite element approximation of steady flows of generalized Newtonian fluids with concentration-dependent power-law index
- Finite element approximation of an incompressible chemically reacting non-Newtonian fluid
- Partial Differential Equations in Anisotropic Musielak-Orlicz Spaces
- On the Classification of Incompressible Fluids and a Mathematical Analysis of the Equations That Govern Their Motion
- Existence result for the motion of several rigid bodies in an incompressible non-Newtonian fluid with growth conditions in Orlicz spaces
- On Lipschitz truncations of Sobolev functions (with variable exponent) and their selected applications
- Monotonicity methods in generalized Orlicz spaces for a class of non-Newtonian fluids
- Nonlinear partial differential equations with applications
