##### Department of Mathematics,

University of California San Diego

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### Special Colloquium

## Dr. Michael Westdickenberg

#### Institute for Applied Mathematics, University of Bonn

## The entropy condition for hyperbolic conservation laws

##### Abstract:

Since weak solutions of hyperbolic conservation laws may be nonunique, typically an entropy condition is imposed in order to obtain uniqueness. We discuss how the entropy condition implies regularity and structure of solutions of scalar conservation laws. For the one-dimensional system of isentropic Euler equations we show how the entropy condition gives global existence of solutions with natural bounds.

Host: Philip Gill

### February 24, 2006

### 2:00 PM

### AP&M 2402

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