Uniqueness of Weak Solutions to the Phase-Field Model with Memory

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概要

• 論文の詳細を見る

• The paper deals with a phase-field model based on the Gurtin-Pipkin heat flux law. A Volterra integrodifferential equation is coupled with a nonlinear parabolic equation in the resulting system, associated with a set of initial and Neumann boundary conditions. Uniqueness of the solution is proved when the convolution kernel is just supposed to be of positive type. Some regularity results are also derived.

• 東京大学の論文

著者

• Colli Pierluigi

  Dipartimento di Matematica "F. Casorati", Universita di Pavia

• Colli Pierluigi

  Dipartimento Di Matematica "f.casorati" Universita Di Pavia

• Laurencot Philippe

  Institut Elie Cartan - Nancy, Universite de Nancy I

• Laurencot Philippe

  Institut Elie Cartan - Nancy Universite De Nancy I

関連論文

• Global solution to a phase transition problem of the Allen-Cahn type (Nonlinear evolution equations and mathematical modeling)
• Asymptotic analysis of a phase field model with memory for vanishing time relaxation
• Uniqueness of Weak Solutions to the Phase-Field Model with Memory
• A Stefan Problem with Memory and Nonlinear Boundary Condition (Nonlinear Evolution Equations and Applications)

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