Finite-dimensional model of thermal instability

DOI10.1016/0893-9659(95)00008-EzbMath0821.65084MaRDI QIDQ1893687

Victor Roytburd, Michael L. Frankel

Publication date: 20 July 1995

Published in: Applied Mathematics Letters (Search for Journal in Brave)

zbMATH Keywords

collocation methodheat equationfree boundary problemphase transitionsdynamical systemnumerical simulationpseudo-spectral approximationsolid combustion

Mathematics Subject Classification ID

Stefan problems, phase changes, etc. (80A22) Combustion (80A25) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Free boundary problems for PDEs (35R35) Applications to the sciences (65Z05) Initial value problems for second-order parabolic equations (35K15)

Related Items (3)

Multimodal oscillations in systems with strong contraction ⋮ Finite-dimensional dynamical system modeling thermal instabilities ⋮ Finite-dimensional attractors for a free boundary problem with a kinetic condition

Cites Work

• A free boundary problem modeling thermal instabilities: Stability and bifurcation
• A Free Boundary Problem Modeling Thermal Instabilities: Well-Posedness
• DYNAMICAL PORTRAIT OF A MODEL OF THERMAL INSTABILITY: CASCADES, CHAOS, REVERSED CASCADES AND INFINITE PERIOD BIFURCATIONS

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