On Cauchy problem for long wave equations. (English) Zbl 0817.35082
Antontsev, S. N. (ed.) et al., Free boundary problems in continuum mechanics. International conference on free boundary problems in continuum mechanics, Novosibirsk, Russia, July 15-19, 1991. Basel: Birkhäuser. ISNM, Int. Ser. Numer. Math. 106, 331-338 (1992).
Summary: The Cauchy problem for the system of integro-differential equations modelling free-boundary vortex flows is considered. For the initial data satisfying the hyperbolicity conditions, the solvability of the Cauchy problem, local in time, is proved.
For the entire collection see [Zbl 0807.00016].
For the entire collection see [Zbl 0807.00016].
MSC:
| 35Q35 | PDEs in connection with fluid mechanics |
| 76B47 | Vortex flows for incompressible inviscid fluids |
