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Steady Transport Equation in the Case Where the Normal Component of the Velocity Does Not Vanish on the Boundary

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Publication:2904734
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DOI10.1137/11082052XzbMath1253.35030OpenAlexW2082944926MaRDI QIDQ2904734

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Publication date: 23 August 2012

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

Full work available at URL: https://doi.org/10.1137/11082052x


zbMATH Keywords

nonstandard boundary conditionnew Green's formulatruncature operator


Mathematics Subject Classification ID

Non-Newtonian fluids (76A05) Fundamental solutions to PDEs (35A08) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Weak solutions to PDEs (35D30) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Initial-boundary value problems for systems of linear first-order PDEs (35F46)


Related Items (4)

Transport equations with inflow boundary conditions ⋮ An algorithm for the grade-two rheological model ⋮ Solutions in \(H^1\) of the steady transport equation in a bounded polygon with a fully non-homogeneous velocity ⋮ The Maximization of the $p$-Laplacian Energy for a Two-Phase Material




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