Abstract. We prove existence and uniqueness of classical solutions of a one-dimensional free boundary problem for the heat equation with a jump conditions for the flux. We show that the solution of this problem can be obtained as a limit of a reaction-diffusion problem when the source term \converges" to a Dirac measure.
Convergence of a Nonlinear Reaction Diffusion Problem to a Free Boundary / Gianni, Roberto; Ricci, R.. - In: ADVANCES IN MATHEMATICAL SCIENCES AND APPLICATIONS. - ISSN 1343-4373. - no. 2 of vol. 19:(2009), pp. 429-448.
Convergence of a Nonlinear Reaction Diffusion Problem to a Free Boundary
GIANNI, Roberto;
2009
Abstract
Abstract. We prove existence and uniqueness of classical solutions of a one-dimensional free boundary problem for the heat equation with a jump conditions for the flux. We show that the solution of this problem can be obtained as a limit of a reaction-diffusion problem when the source term \converges" to a Dirac measure.File allegati a questo prodotto
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