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Riemann and goursat problems for one-dimensional classical plasticity
International Journal of Engineering Science, 1983Abstract One-dimensional motions for a class of rate independent elastic-plastic materials are considered. Goursat and Riemann problems are investigated by means of similarity solutions. Uniqueness of the solution for both problems is ensured by adopting a physical principle stated by Suliciu[l]; moreover the solution itself is constructed in all the
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On singular problems of Goursat and Cauchy
Ukrainian Mathematical Journal, 1969Introduction. In this paper the problems of Goursat and Cauchy are investigated for equations of hyperbolic type with singular coefficients. Effective algorithms are presented for constructing Duhamel functions of such singular initial problems, reducing these problems to a recurrent sequence of ordinary linear nonhomogeneous differential equations of ...
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Degenerate Cauchy–Goursat problem for 2‐D steady isentropic Euler system with van der Waals gas
Studies in Applied Mathematics, 2023M Zafar
exaly
NONSMOOTH EXTREMAL PROBLEM OF GOURSAT-DARBOUX TYPE
В данной работе рассмотрена негладкая вариационная задача типа Гурса-Дарбу и получено необходимое условие оптимальности ее решения. Сначала изучается выпуклая вариационная задача типа Гурса-Дарбу, а с ее помощью изучается невыпуклая вариационная задача типа Гурса-Дарбу.openaire +1 more source
Numerical solution of the Goursat problem on a triangular domain with mixed boundary conditions
Applied Mathematics and Computation, 2011Kun Gou
exaly
The Goursat problem for a generalized Helmholtz operator in the plane
Journal D'Analyse Mathematique, 2008Hermann Render
exaly