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Finite-dimensional attractors for a free boundary problem with a kinetic condition

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Publication:1861744
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DOI10.1016/S0893-9659(01)00097-0zbMath1011.35027MaRDI QIDQ1861744

Victor Roytburd, Michael L. Frankel

Publication date: 10 March 2003

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


zbMATH Keywords

Hausdorff dimensionexothermic phase transitions


Mathematics Subject Classification ID

Attractors (35B41) Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems (37L30) Stefan problems, phase changes, etc. (80A22) Free boundary problems for PDEs (35R35)




Cites Work

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  • Infinite-dimensional dynamical systems in mechanics and physics
  • Local existence and uniqueness of solutions of the Stefan problem with surface tension and kinetic undercooling
  • Finite-dimensional model of thermal instability
  • Finite-dimensional dynamical system modeling thermal instabilities
  • Theory of Impurity Resistance in Metals. II
  • Global lyapunov exponents, kaplan-yorke formulas and the dimension of the attractors for 2D navier-stokes equations
  • Propagation of a Pulsating Reaction Front in Solid Fuel Combustion
  • DYNAMICAL PORTRAIT OF A MODEL OF THERMAL INSTABILITY: CASCADES, CHAOS, REVERSED CASCADES AND INFINITE PERIOD BIFURCATIONS
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