Quasilinear hyperbolic stefan problem with nonlocal boundary conditions

• Date: 2010
• Main Authors: Andrusyak, R. V., Burdeina, N. O., Kirilich, V. M., Андрусяк, Р. В., Бурдейна, Н. О., Кирилич, В. М.
• Format: Article
• Language: Ukrainian; English
• Published: Institute of Mathematics, NAS of Ukraine 2010
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/2947
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

Using the method of contracting mappings, we prove, for small values of time, the existence and uniqueness of a generalized Lipschitz solution of a mixed problem with unknown boundaries for a hyperbolic quasilinear system of first-order equations represented in terms of Riemann invariants with nonlo...