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Structure Of Entropy Solutions For Multi-Dimensional Scalar Conservation Laws (2002)
| Content Provider | CiteSeerX |
|---|---|
| Author | Lellis, Camillo De Otto, Felix Westdickenberg, Michael |
| Description | An entropy solution u of a multi-dimensional scalar conservation law is not necessarily in BV , even if the conservation law is genuinely nonlinear. We show that u nevertheless has the structure of a BV-function in the sense that the shock location is codimension-one rectifiable. This result highlights the regularizing effect of genuine nonlinearity in a qualitative way; it is based on the locally finite rate of entropy dissipation. The proof relies on the geometric classification of blow-ups in the framework of the kinetic formulation. |
| File Format | |
| Language | English |
| Publisher Date | 2002-01-01 |
| Publisher Institution | Preprint n ffi 95=2002 at http://www.mis.mpg.de/preprints/2002. 10 CAMILLO DE LELLIS, MICHAEL WESTDICKENBERG |
| Access Restriction | Open |
| Subject Keyword | Multi-dimensional Scalar Conservation Law Kinetic Formulation Genuine Nonlinearity Entropy Dissipation Qualitative Way Finite Rate Geometric Classification Conservation Law Proof Relies Shock Location Entropy Solution |
| Content Type | Text |
| Resource Type | Article |
