SOME CONSIDERATIONS REGARDING THE EXACT SOLUTION IN THE ONE PHASE-STEFAN PROBLEM
نویسندگان
چکیده
منابع مشابه
Nonlinear 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 کاملExact solution of a Stefan problem in a nonhomogeneous cylinder
The exact solution is found for the Stefan problem of inwards freezing of a nonhomogeneous cylinder whose specific heat and latent heat depend upon the inverse square of the radial distance. The freezing time for the corresponding annular cylinder is found exactly. The validity of the pseudo-steady-state approximation for the solvable cylinder problem is verified explicitly. It is argued that t...
متن کاملThe Variational Inequality Approach to the One-Phase Stefan Problem
Considering the one-phase Stefan problem, we present an account of some recent mathematical results within the framework of variational inequalities. We discuss several situations corresponding to different boundary conditions and different geometries, like the exterior problem, the continuous casting model, and the degenerate case of the quasi-steady model. We develop a few continuous-dependen...
متن کاملBoundary Control and Estimation of the One-Phase Stefan Problem
In this paper, a backstepping observer and an output feedback control law are designed for the stabilization of the one-phase Stefan Problem, which stands stand as an improvement of the recent full state feedback backstepping controller proposed in our previous contribution. The onephase Stefan Problem describes time evolution of a temperature profile in a solid-liquid material and its solid-li...
متن کاملSome Considerations Regarding the Problem of Multidimensional Utility
The concept of ‘utility’ is often used in ambiguous ways in economics, from having substantive psychological connotations to being a formal placeholder representing a person’s preferences. In the accounts of the early utilitarians, it was a multidimensional measure that has been condensed during the marginalist revolution into the unidimensional measure we know today. But can we compare differe...
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: Revista de Engenharia Térmica
سال: 2006
ISSN: 1676-1790
DOI: 10.5380/reterm.v5i1.61636