Hyperbolic conservation laws on manifolds with limited regularity

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2008-05-01

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Lefloch, Philippe G.
Okutmuştur, Baver

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We introduce a formulation of the initial and boundary value problem for nonlinear hyperbolic conservation laws posed on a differential manifold endowed with a volume form, possibly with a boundary; in particular, this includes the important case of Lorentzian manifolds. Only limited regularity is assumed on the geometry of the manifold. For this problem, we establish the existence and uniqueness of an L-1 semi-group of weak solutions satisfying suitable entropy and boundary conditions.

Subject Keywords

General Mathematics

URI

https://hdl.handle.net/11511/41652

Journal

COMPTES RENDUS MATHEMATIQUE

DOI

https://doi.org/10.1016/j.crma.2008.03.017

Collections

Department of Mathematics, Article

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Citation Formats

P. G. Lefloch and B. Okutmuştur, “Hyperbolic conservation laws on manifolds with limited regularity,” COMPTES RENDUS MATHEMATIQUE, pp. 539–543, 2008, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/41652.