The Cauchy problem for Chaplygin's system
- 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.
| Author details: | Victor Stepanenko, Nikolai Nikolaevich TarkhanovORCiDGND |
|---|---|
| URL: | http://www.informaworld.com/openurl?genre=journal&issn=1747-6933 |
| DOI: | https://doi.org/10.1080/17476930903394978 |
| ISSN: | 1747-6933 |
| Publication type: | Article |
| Language: | English |
| Year of first publication: | 2010 |
| Publication year: | 2010 |
| Release date: | 2017/03/25 |
| Source: | Complex Variables and Elliptic Equations. - ISSN 1747-6933. - 55 (2010), 7, S. 647 - 656 |
| Organizational units: | Mathematisch-Naturwissenschaftliche Fakultät / Institut für Mathematik |
| Peer review: | Referiert |
