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The mixed initial-boundary value problem for reducible quasilinear hyperbolic systems with linearly degenerate characteristics

✍ Scribed by Ta-Tsien Li; Yue-Jun Peng

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
117 KB
Volume
52
Category
Article
ISSN
0362-546X

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✦ Synopsis

In this paper, we prove that the C 0 boundedness of solution implies the global existence and uniqueness of C 1 solution to the mixed initial-boundary value problem for linearly degenerate, reducible quasilinear hyperbolic systems with nonlinear boundary conditions and we show by an example that the C 0 norm of solution may blow up in a ΓΏnite time. This gives the mechanism of the formation of singularities caused by the interaction of boundary conditions with nonlinear hyperbolic waves. The same result is still valid for the quasilinear hyperbolic system of rich type.

πŸ“œ SIMILAR VOLUMES

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