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Generalized Cauchy problem with data on two and three surfaces for a quasilinear system with singularities in the coefficients multiplying the derivatives

Авторы: Kazakov A.L.

Журнал: Differential equations

Том: 48

Номер: 4

Год: 2012

Отчётный год: 2012


Местоположение издательства:


Аннотация: For a system of quasilinear partial differential equations, we consider an initial-boundary value problem of a special form in which the Cauchy data are "distributed" over two or more surfaces. In particular, such a problem arises in gas dynamics, namely, in the description of flows with shock waves. For a problem that has singularities in the coefficients multiplying the derivatives, we prove existence and uniqueness theorems in the class of analytic functions. Solutions are constructed in closed form, and formulas for the coefficients of the series are obtained. Convergence conditions for the series are derived.

Индексируется WOS: 1

Индексируется Scopus: 0

Индексируется РИНЦ: 0

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