Large data existence theory for unsteady flows of fluids with pressure- and shear-dependent viscosities

DOI10.1016/j.na.2015.07.001zbMath1325.35160OpenAlexW952499433MaRDI QIDQ499615

Miroslav Bulíček, Josef Žabenský

Publication date: 30 September 2015

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2015.07.001

zbMATH Keywords

weak solutionincompressible fluidNeumann problemNavier boundary conditionshear-dependent viscosityexistence theorypressure-dependent viscosityflow through porous mediaparabolic Lipschitz truncation of Sobolev functions

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Weak solutions to PDEs (35D30)

Related Items (4)

Large data existence theory for three-dimensional unsteady flows of rate-type viscoelastic fluids with stress diffusion ⋮ On unsteady internal flows of incompressible fluids characterized by implicit constitutive equations in the bulk and on the boundary ⋮ On a Navier-Stokes-Fourier-like system capturing transitions between viscous and inviscid fluid regimes and between no-slip and perfect-slip boundary conditions ⋮ Local higher integrability for unsteady motion equations of generalized Newtonian fluids

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