TY  - JOUR
A1  - Stepanenko, Victor
A1  - Tarkhanov, Nikolai Nikolaevich
T1  - The Cauchy problem for Chaplygin's system
N2  - We discuss the Cauchy problem for the so-called Chaplygin system which often appears in gas, aero- and hydrodynamics. This system can be thought of as a nonlinear analogue of the Cauchy-Riemann system in the plane. We pose Cauchy data on a part of the boundary and apply variational approach to construct a solution to this ill-posed problem. The problem actually gives insight to fundamental questions related to instable problems for nonlinear equations.
Y1  - 2010
UR  - http://www.informaworld.com/openurl?genre=journal&issn=1747-6933
U6  - https://doi.org/10.1080/17476930903394978
SN  - 1747-6933
ER  -