PORTUGALIAE MATHEMATICA Vol. 58, No. 3, pp. 317337 (2001) 

A OneDimensional Free Boundary Problem Arising in Combustion TheoryS.N. Antontsev, A.M. Meirmanov and V.V. YurinskyDepartamento de Matemática/Informática, Universidade da Beira Interior,Convento de Santo António, 6201001 Covilha  PORTUGAL Abstract: The free boundary problem considered in this paper arises in the mathematical theory of combustion. It consists in finding two functions $p^{\pm}(x,t)$ defined in their respective domains $\Pi^{\pm}_{T}=\bigcup_{0<t<T} \Pi^{\pm}(t)$, with $\Pi^{}(t)=\{1<x<R(t)\}$ and $\Pi^{+}(t)=\{R(t)<x<1\}$, that are separated by the free boundary $\Gamma_{T}=\{x=R(t)$, $t\in(0,T)\}$. In $\Pi^{\pm}_{T}$, the functions satisfy heat equations with different heat capacities, and on the free boundary they obey the conjugation conditions Full text of the article:
Electronic version published on: 9 Feb 2006. This page was last modified: 27 Nov 2007.
© 2001 Sociedade Portuguesa de Matemática
