LOCAL EXISTENCE IN FREE INTERFACE PROBLEMS WITH UNDERLYING SECOND-ORDER STEFAN CONDITION
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en
Article de revue
Este ítem está publicado en
Revue roumaine de mathématiques pures et appliquées. 2018, vol. 63, n° 4, p. 339-359
Editura Academiei Române
Resumen en inglés
In this survey we consider free interface problems that do not fall within the class of Stefan problems, as there is no specific condition on the velocity of the interface. At least near some equilibrium, we are able to ...Leer más >
In this survey we consider free interface problems that do not fall within the class of Stefan problems, as there is no specific condition on the velocity of the interface. At least near some equilibrium, we are able to associate the velocity to a combination of spatial derivatives up to the second order that we define as a second-order Stefan condition. Then, we may reformulate the system as a fully nonlinear problem, for which it holds local in time existence and uniqueness.< Leer menos
Palabras clave en inglés
AMS 2010 Subject Classification: 35R35
35A01
35R37
80A22
80A25 Key words: Free interface problems
fully nonlinear problems
combustion
local in time existence and uniqueness
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