Cauchy problem for quasilinear hyperbolic systems with coefficients functionally dependent on solutions

• Autorzy: Zdanowicz M. , Peradzyński Z.
• Języki publikacji: EN

Abstrakty

EN

The cauchy problem for a quasilinear hyperbolic systems with coefficients functionally dependent on the solutions is studied. We assume that the coefficients are continuous nonlinear operators in the Banach space C1 (R) satisfying some additional assumptions. Under these assumptions we prove the uniqueness and existence of local in time C1 solutions, provided that the initial data are also of class C1.

Słowa kluczowe

EN

functional dependence on solutions; characteristic curves; Cauchy problem; hyperbolic system

• Wydawca: Instytut Podstawowych Problemów Techniki PAN
• Czasopismo: Archives of Mechanics
• Rocznik: 2007
• Tom: Vol. 59, nr 2
• Strony: 173--197
• Opis fizyczny: Bibliogr. 6 poz.

Twórcy

autor

Zdanowicz M.

autor

Peradzyński Z.

• Institute of Mathematics University of Białystok Akademicka 2, 15-267 Białystok, Poland

Bibliografia

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• 4. B.L. ROZHDESTYENSKI, N.N. YANENKO, Systems of quasilinear equations and their applications to gas dynamics, "Nauka", Moscow 1968.
• 5. J. TURO, Existence and uniqueness of solutions quasilinear hyperbolic systems of partial differential equations, Math. Slovaca, 37, 4, 375-389, 1987.
• 6. V.V. ZHURIN, H.R. KAUFMAN, R.S. ROBINSON, Physics of closed drifts thrusters, Plasma Sources Sci. Technol., 8, R1-R20, 1999.