Nonstationary free boundary problem for perfect fluid with surface tension
نویسندگان
چکیده
منابع مشابه
THE 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 کاملWell-Posedness of the Free-Boundary Compressible 3-D Euler Equations with Surface Tension and the Zero Surface Tension Limit
We prove that the 3-D compressible Euler equations with surface tension along the moving free-boundary are well-posed. Specifically, we consider isentropic dynamics and consider an equation of state, modeling a liquid, given by Courant and Friedrichs [8] as p(ρ) = αρ − β for consants γ > 1 and α, β > 0. The analysis is made difficult by two competing nonlinearities associated with the potential...
متن کاملInitial-boundary value problem for the spherically symmetric Einstein equations for a perfect fluid
I1 is shown thal for a given spherically symmelric disvibution of a perfect Huid on a spacelike hypersurface wiul boundary and a piven. time-dependent boundary prt?sure. there exis15 a unique, local-in-lime solution of the Einstein equations. A Schwmchild spacetime can be allached to h e Huid bady i f and only if the boundary prcssurc vanishes. We asume a smooth equation of slate for which UW d...
متن کاملOn 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 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: Journal of the Mathematical Society of Japan
سال: 1986
ISSN: 0025-5645
DOI: 10.2969/jmsj/03830381