On the differentiability of weak solutions of a degenerate system of PDE's in fluid mechanics

DOI10.1007/BF01762796zbMath0664.35033OpenAlexW2062732291MaRDI QIDQ1114857

Joachim Naumann

Publication date: 1988

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01762796

zbMATH Keywords

generalized solutionsdifferentiabilityfluid mechanicsdeviatoric stress-tensorincompressible equations of motionnonnewtonian fluidWeak solutions

Mathematics Subject Classification ID

Related Items (7)

Liouville-type theorems for steady flows of degenerate power law fluids in the plane ⋮ Higher differentiability for solutions of stationary p‐Stokes systems ⋮ Fractional higher differentiability for solutions of stationary Stokes and Navier-Stokes systems with Orlicz growth ⋮ Temporal regularity of symmetric stochastic \(p\)-Stokes systems ⋮ \(L^q\) theory for a generalized Stokes system ⋮ On the regularity of weak solutions to the stationary motion of the degenerate power-law fluids ⋮ Interior integral estimates on weak solutions of certain degenerate elliptic systems

Cites Work

• Everywhere-regularity for some quasilinear systems with a lack of ellipticity
• Hölder continuity of the solutions of some nonlinear elliptic systems
• Regularity for a more general class of quasilinear equations
• Differentiability of the solutions of nonlinear elliptic systems with natural growth
• On a boundary value problem for a stationary system of Navier-Stokes equations
• C1 + α local regularity of weak solutions of degenerate elliptic equations
• Comments on the validity of a common category of constitutive equations
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