A Uniqueness Condition for Hyperbolic Systems of Conservation Laws
Alberto Bressan and Marta Lewicka
Consider the Cauchy problem for a hyperbolic $n\times n$ system of
conservation laws in one space dimension: $$u_t+f(u)_x=0, u(0,x)=\bar
u(x).\eqno(CP)$$ Relying on the existence of a continuous semigroup of
solutions, we prove that the entropy admissible solution of (CP) is unique
within the class of functions $u=u(t,x)$ which have bounded variation along a
suitable family of space-like curves.
- Available as PostScript .
- A uniqueness condition for hyperbolic systems of conservation laws
- Alberto Bressan,
- Marta Lewicka,
- Publishing information:
- Submitted by:
August 12 1998.
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Last modified: Wed Aug 12 14:45:09 1998