On a Time-Dependent Transport Equation in a Lipschitz Domain

DOI10.1137/09077285XzbMath1217.35048OpenAlexW1980142525MaRDI QIDQ2999872

L. Ridgway Scott, Vivette Girault

Publication date: 17 May 2011

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

Full work available at URL: http://epubs.siam.org/sima/resource/1/sjmaah/v42/i4/p1721_s1

zbMATH Keywords

tangential velocitydivergence-free driving velocityregularization with a special mollifier

Mathematics Subject Classification ID

Non-Newtonian fluids (76A05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Initial-boundary value problems for linear first-order PDEs (35F16)

Related Items (5)

Grade-two fluids on non-smooth domain driven by multiplicative noise: existence, uniqueness and regularity ⋮ Transport equations with inflow boundary conditions ⋮ Initial-boundary value problems for continuity equations with BV coefficients ⋮ Initial-boundary value problems for nearly incompressible vector fields, and applications to the Keyfitz and Kranzer system ⋮ Weighted error estimates for transient transport problems discretized using continuous finite elements with interior penalty stabilization on the gradient jumps

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