The saddle point property for focusing selfsimilar solutions in a free boundary problem
نویسندگان
چکیده
منابع مشابه
The Saddle Point Property for Focusing Selfsimilar Solutions in a Free Boundary Problem
We establish the saddle point property of the focusing selfsimilar solution of a free boundary problem for the heat equation with free boundary conditions given by u = 0 and ∂u ∂ν = 1.
متن کاملGeneralized iterative methods for solving double saddle point problem
In this paper, we develop some stationary iterative schemes in block forms for solving double saddle point problem. To this end, we first generalize the Jacobi iterative method and study its convergence under certain condition. Moreover, using a relaxation parameter, the weighted version of the Jacobi method together with its convergence analysis are considered. Furthermore, we extend a method...
متن کاملOn a Two-point Free Boundary Problem
We study a two-point free boundary problem for a quasilinear parabolic equation. This problem arises in the model of flame propagation in combustion theory. It also arises in the study of the motion of interface moving with curvature in which the studied problem is confined in the conical region bounded by two straight lines and the interface has prescribed touching angles with these two straig...
متن کاملNumerical solutions of symmetric saddle point problem by direct methods
Two new methods for solving the symmetric saddle point problem are proposed. The first one is a generalization of Golub’s method for the augmented system formulation (ASF) and uses the Householder QR decomposition. The second method is supported by the singular value decomposition (SVD). Numerical comparison of some direct methods are given.
متن کاملOptimal Solutions for a Free Boundary Problem for Crystal Growth
We consider a free boundary problem modeling the growth/dissolution of a crystal in a radially symmetric setting. Existence of an optimal boundary control, minimizing a cost functional of a standardìntegral-quadratic' form, is already known and we here consider the characterization and computation of such an optimal control.
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: Proceedings of the American Mathematical Society
سال: 1999
ISSN: 0002-9939,1088-6826
DOI: 10.1090/s0002-9939-99-04829-7