Continuity of solutions of a quasilinear hyperbolic equation with hysteresis.

DOI10.1007/s10492-012-0011-1zbMath1249.35214OpenAlexW2057142306MaRDI QIDQ434495

Petra Kordulová

Publication date: 10 July 2012

Published in: Applications of Mathematics (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/246835

zbMATH Keywords

hysteresisdiscontinuous solutionquasilinear hyperbolic equationgeneralized play operator

Mathematics Subject Classification ID

First-order nonlinear hyperbolic equations (35L60) Hysteresis for ordinary differential equations (34C55)

Cites Work

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• Entropy condition for a quasilinear hyperbolic equation with hysteresis.
• An existence result for a p.d.e. with hysteresis, convection and a nonlinear boundary condition
• Semigroups of linear operators and applications to partial differential equations
• Hysteresis and phase transitions
• A transport model with adsorption hysteresis
• Asymptotic behaviour of a quasilinear hyperbolic equation with hysteresis
• Quasilinear first-order PDEs with hysteresis