An Ill Posed Cauchy Problem for a Hyperbolic System in Two Space
We give an example of a Cauchy problem for a nonlinear hyperbolic system of
conservation laws in two space dimension which is not well posed. A sequence
of initial data in L^infty converges strongly, but the sequence of solutions
has no strong limit, due to oscillation phoenomena. The weak limit fails to
be a weak solution, in general.
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- Alberto Bressan,
- Publishing information:
- To appear on: Rendiconti del Seminario matematico,
Universita' di Padova.
- Submitted by:
February 12 2003.
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Last modified: Thu Feb 13 09:31:09 MET 2003