Propagation of weak discontinuities for quasilinear hyperbolic systems with coefficients functionally dependent on solutions

• Autorzy: Małgorzata Zdanowicz , Zbigniew Peradzyński
• Języki publikacji: EN

Abstrakty

EN

The propagation of weak discontinuities for quasilinear systems with coefficients functionally dependent on the solution is studied. We demonstrate that, similarly to the case of usual quasilinear systems, the transport equation for the intensity of weak discontinuity is quadratic in this intensity. However, the contribution from the (nonlocal) functional dependence appears to be in principle linear in the jump intensity (with some exceptions). For illustration, several examples, including two hyperbolic systems (with functional dependence), the dispersive Maxwell equations and fluid equations of the Hall plasma thruster, are considered.

Kategorie tematyczne

• 35A21: Propagation of singularities
• 35R10: Partial functional-differential equations
• 58J47: Propagation of singularities; initial value problems

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2013
• Tom: 109
• Numer: 2
• Strony: 177-198

Daty

wydano

2013

Twórcy

autor

Małgorzata Zdanowicz

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

autor

Zbigniew Peradzyński

• Institute of Mathematics, Warsaw University, 02-097 Warszawa, Poland

Identyfikatory

DOI

10.4064/ap109-2-6