Phase Field Equations in the Singular Limit of Sharp Interface Problems

This publication has 10 references indexed in Scilit:

• The existence of travelling waves for phase field equations and convergence to sharp interface models in the singular limit
  Quarterly of Applied Mathematics, 1991
• Discrete subgroups of convergence type of ${\rm U}(1,n;{\bf C})$
  Hiroshima Mathematical Journal, 1991
• Thermodynamically consistent models of phase-field type for the kinetic of phase transitions
  Physica D: Nonlinear Phenomena, 1990
• Stefan and Hele-Shaw type models as asymptotic limits of the phase-field equations
  Physical Review A, 1989
• The Gibbs-Thompson relation within the gradient theory of phase transitions
  Archive for Rational Mechanics and Analysis, 1989
• The generation and propagation of internal layers
  Nonlinear Analysis, 1988
• An analysis of a phase field model of a free boundary
  Archive for Rational Mechanics and Analysis, 1986
• A microscopic theory for antiphase boundary motion and its application to antiphase domain coarsening
  Acta Metallurgica, 1979
• Convergence of solutions of one-dimensional semilinear parabolic equations
  Kyoto Journal of Mathematics, 1978
• Nonlinear diffusion in population genetics, combustion, and nerve pulse propagation
  Published by Springer Nature ,1975