A Unified Theory for Some Non-Newtonian Fluids Under Singular Forcing

DOI10.1137/16M1073881zbMath1354.35089arXiv1604.08396MaRDI QIDQ3179343

Miroslav Bulíček, Jan Burczak, Sebastian Schwarzacher

Publication date: 21 December 2016

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1604.08396

zbMATH Keywords

uniqueness of solutionsnon-Newtonian fluidsoptimal regularityweightedsolenoidalbiting div-curl lemmaexistence of very weak solutionsexistence theory beyond duality pairing

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Non-Newtonian fluids (76A05) PDEs in connection with fluid mechanics (35Q35) Nonlinear elliptic equations (35J60) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Weak solutions to PDEs (35D30) Boundary value problems for second-order elliptic systems (35J57)

Related Items (13)

A semismooth Newton method for implicitly constituted non-Newtonian fluids and its application to the numerical approximation of Bingham flow ⋮ The Poisson and Stokes problems on weighted spaces in Lipschitz domains and under singular forcing ⋮ On the analysis and approximation of some models of fluids over weighted spaces on convex polyhedra ⋮ Parabolic Lipschitz truncation and caloric approximation ⋮ Existence and uniqueness of very weak solution of the MHD type system ⋮ Weighted estimates for generalized steady Stokes systems in nonsmooth domains ⋮ Existence of steady very weak solutions to Navier-Stokes equations with non-Newtonian stress tensors ⋮ A Posteriori Error Estimates for the Stationary Navier--Stokes Equations with Dirac Measures ⋮ A posteriori error estimates for the Stokes problem with singular sources ⋮ On the existence of weak solutions for the steady Baldwin-Lomax model and generalizations ⋮ Stability of the Stokes projection on weighted spaces and applications ⋮ Well posedness of nonlinear parabolic systems beyond duality ⋮ Regularity estimates for stationary Stokes problem in some generalized function spaces

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