Nonlinear Stefan problem with convective boundary condition in Storm’s materials
نویسندگان
چکیده
منابع مشابه
Boundary control of a nonlinear Stefan Problem
Abstract— The classical Stefan problem is a linear onedimensional heat equation with a free boundary at one end, modelling a column of liquid (e.g. water) in contact with an infinite strip of solid (ice). Given the fixed boundary conditions, the column temperature and free boundary motion can be uniquely determined. In the inverse problem, one specifies the free boundary motion, say from one st...
متن کاملNonlinear Two-Phase Stefan Problem
In this paper we consider a nonlinear two-phase Stefan problem in one-dimensional space. The problem is mapped into a nonlinear Volterra integral equation for the free boundary.
متن کاملTHE STEFAN PROBLEM WITH KINETIC FUNCTIONS AT THE FREE BOUNDARY
This paper considers a class of one-dimensional solidification problem in which kinetic undercooling is incorporated into the temperature condition at the interface. A model problem with nonlinear kinetic law is considered. The main result is an existence theorem. The mathematical effects of the kinetic term are discussed
متن کاملA Stefan problem for a non-classical heat equation with a convective condition
Keywords: Stefan problem Non-classical heat equation Free boundary problem Similarity solution Nonlinear heat sources Volterra integral equation a b s t r a c t We prove the existence and uniqueness, local in time, of the solution of a one-phase Stefan problem for a non-classical heat equation for a semi-infinite material with a convective boundary condition at the fixed face x = 0. Here the he...
متن کاملnonlinear two-phase stefan problem
in this paper we consider a nonlinear two-phase stefan problem in one-dimensional space. the problem is mapped into a nonlinear volterra integral equation for the free boundary.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Zeitschrift für angewandte Mathematik und Physik
سال: 2016
ISSN: 0044-2275,1420-9039
DOI: 10.1007/s00033-015-0615-x