Тип публикации: статья из журнала
Год издания: 2010
Идентификатор DOI: 10.1080/17476930903394978
Ключевые слова: nonlinear PDE, Cauchy problem, Euler's equations, Chaplygin system
Аннотация: 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-posedПоказать полностьюproblem. The problem actually gives insight to fundamental questions related to instable problems for nonlinear equations.
Журнал: COMPLEX VARIABLES AND ELLIPTIC EQUATIONS
Выпуск журнала: Vol. 55, Is. 7
Номера страниц: 647-656
ISSN журнала: 17476933
Место издания: ABINGDON
Издатель: TAYLOR & FRANCIS LTD