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

Małgorzata Zdanowicz, and Zbigniew Peradzyński. "Propagation of weak discontinuities for quasilinear hyperbolic systems with coefficients functionally dependent on solutions." Annales Polonici Mathematici 109.2 (2013): 177-198. <http://eudml.org/doc/280550>.

@article{MałgorzataZdanowicz2013,
abstract = {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.},
author = {Małgorzata Zdanowicz, Zbigniew Peradzyński},
journal = {Annales Polonici Mathematici},
keywords = {differential-functional equations; transport equations; Hall plasma thruster; dispersive Maxwell equations},
language = {eng},
number = {2},
pages = {177-198},
title = {Propagation of weak discontinuities for quasilinear hyperbolic systems with coefficients functionally dependent on solutions},
url = {http://eudml.org/doc/280550},
volume = {109},
year = {2013},
}

TY - JOUR
AU - Małgorzata Zdanowicz
AU - Zbigniew Peradzyński
TI - Propagation of weak discontinuities for quasilinear hyperbolic systems with coefficients functionally dependent on solutions
JO - Annales Polonici Mathematici
PY - 2013
VL - 109
IS - 2
SP - 177
EP - 198
AB - 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.
LA - eng
KW - differential-functional equations; transport equations; Hall plasma thruster; dispersive Maxwell equations
UR - http://eudml.org/doc/280550
ER -