Integrability of multi-dimensional quasilinear systems

Prelegent(ci)

Maxim Pavlov

Termin

4 października 2004 12:15

Pokój

p. 3030

Seminarium

Seminarium Zakładu Równań Fizyki Matematycznej

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Abstract: Multi-dimensional quasilinear systems play important role in physical applications such as gas dynamics. "Integrability" means existence of infinitely many commuting flows, conservation laws and N-component reductions (which are 1+1 hydrodynamic type systems). By this approach some classification of such quasilinear systems is given. Particular solutions (in some cases general solutions) are found.

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