Some remarks on the Stefan problem with surface structure
نویسندگان
چکیده
منابع مشابه
On the Stefan Problem with Surface Tension
1. Introduction The classical Stefan problem is a model for phase transitions in solid-liquid systems and accounts for heat diiusion and exchange of latent heat in a homogeneous medium. The strong formulation of this model corresponds to a moving boundary problem involving a parabolic diiusion equation for each phase and a transmission condition prescribed at the interface separating the phases...
متن کاملThe Stefan Problem with Small Surface Tension
The Stefan problem with small surface tension e is considered. Assuming that the classical Stefan problem (with s = 0) has a smooth free boundary T, we denote the temperature of the solution by 60 and consider an approximate solution 60 + su for the case where e ^ 0, e small. We first establish the existence and uniqueness of u , and then investigate the effect of u on the free boundary T. It i...
متن کاملA Stefan problem on an evolving surface.
We formulate a Stefan problem on an evolving hypersurface and study the well posedness of weak solutions given L(1) data. To do this, we first develop function spaces and results to handle equations on evolving surfaces in order to give a natural treatment of the problem. Then, we consider the existence of solutions for L(∞) data; this is done by regularization of the nonlinearity. The regulari...
متن کاملSome Remarks on Prill’s Problem
If f : X → Y is a non-constant map of smooth curves over C and if there is a degree two map π : X → C where C is a smooth curve with genus less than that of Y , we show that for a general point P ∈ Y , f−1(P ) does not move except possibly in one particular case. In particular, this implies that Prill’s problem has an affirmative answer if X as above is hyperelliptic or if f is Galois. 2000 Mat...
متن کاملSolving The Stefan Problem with Kinetics
We introduce and discuss the Homotopy perturbation method, the Adomian decomposition method and the variational iteration method for solving the stefan problem with kinetics. Then, we give an example of the stefan problem with kinetics and solve it by these methods.
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: Quarterly of Applied Mathematics
سال: 1992
ISSN: 0033-569X,1552-4485
DOI: 10.1090/qam/1162277