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Solutions for Linear Conservation Laws with Velocity Fields in $$L^{\rm \infty}$$

Besson, Olivier ; Pousin, Jérôme

In: Archive for Rational Mechanics and Analysis, 2007, vol. 186, no. 1, p. 159-175

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    Titel
    • Solutions for Linear Conservation Laws with Velocity Fields in $$L^{\rm \infty}$$
    Autor
    • Besson, Olivier. Institut de Mathématiques, Université de Neuchâtel, 11, rue E. Argand, 2009, Neuchâtel, Switzerland
    • Pousin, Jérôme. INSA Lyon, Institut C. Jordan, UMR-CNRS 5208, Bâtiment Léonard de Vinci, 20 av. Albert Einstein, 69621, Villeurbanne, France
    Dokumententyp
    • Postprint
    Sprache
    • Englisch
    Veröffentlicht in
    • Archive for Rational Mechanics and Analysis, 2007, vol. 186, no. 1, p. 159-175. Springer-Verlag
    Andere elektronische Ausgabe
    Klassifikation
    • Mathematik
    OAI-PMH-ID
    • oai:doc.rero.ch:311965
    Summary
    A Space-Time Integrated Least Squares (STILS) method is derived for solving the linear conservation law with a velocity field in $$L^{\rm \infty}$$ . An existence and uniqueness result is given for the solution of this equation. A maximum principle is established and finally a comparison with a renormalized solution is presented