Results 251 to 260 of about 1,973,708 (286)
Some of the next articles are maybe not open access.
Convexity of free boundaries with bernoulli type boundary condition
Nonlinear Analysis: Theory, Methods & Applications, 1997The aim of this paper is to prove convexity results for two (exterior and interior) classical free boundary problems which arise in various physical situations such as electrochemical machining and potential flow in fluid mechanics.
Henrot, Antoine, Shahgholian, Henrik
openaire +1 more source
Boundary Estimates for Solutions of the Parabolic Free Boundary Problem
Journal of Mathematical Sciences, 2003zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Apushkinskaya, D. E. +2 more
openaire +1 more source
Plane free-boundary equilibria
Plasma Physics and Controlled Fusion, 1991The free-boundary MHD equilibrium is considered for plane symmetry and a constant current profile. The field produced by external currents is prescribed and the plasma current is determined such that the plasma extends up to the separatrix.
openaire +2 more sources
Contact of a free boundary with a fixed boundary
Sbornik: Mathematics, 2000Summary: In a domain \(\Omega\subset \mathbb{R}^n\) we consider the following free-boundary problem: \[ \Delta u=\chi_{\mathcal N}\quad\text{in }\Omega, \] \[ u=|Du|= 0\quad\text{in }\Omega\setminus{\mathcal N}, \] \[ u= \varphi\quad\text{at }\partial\Omega. \] Here \(\chi_{\mathcal N}\) is the characteristic function of the set \({\mathcal N}\), which,
openaire +2 more sources
Boundary regularity for free boundary problems
Communications on Pure and Applied Mathematics, 1999The purpose of this paper is to study up-to-the-boundary regularity of solutions of elliptic free boundary problems with two phases. The solution of a typical problem can be described as a function \(u\) that is harmonic in \(\{u\neq 0\}\) and satisfies the gradient jump condition: \(| \nabla u^+|^2 -|\nabla u^-|^2=1\) on the free boundary \(\{u= 0\}\).
openaire +2 more sources
One-Layer Free Boundary Problems with Two Free Boundaries
2005We study the uniqueness and successive approximation of solutions of a class of two-dimensional steady-state fluid problems involving infinite periodic flows between two periodic free boundaries, each characterized by a flow-speed condition related to Bernoulli’s law.
openaire +1 more source
2013
As we know, a problem of pricing an American-style derivative can be formulated as a linear complementarity problem, and for most cases, it can also be written as a free-boundary problem. In Chap. 8, we have discussed how to solve a linear complementarity problem. Here, we study how to solve a free-boundary problem numerically. Many derivative security
You-lan Zhu +3 more
openaire +1 more source
As we know, a problem of pricing an American-style derivative can be formulated as a linear complementarity problem, and for most cases, it can also be written as a free-boundary problem. In Chap. 8, we have discussed how to solve a linear complementarity problem. Here, we study how to solve a free-boundary problem numerically. Many derivative security
You-lan Zhu +3 more
openaire +1 more source
Free-boundary high-beta tokamaks. III. Free-boundary stability
The Physics of Fluids, 1982Using the techniques of Hilbert transforms and conformal mapping, the stability problem of a toroidal free-boundary high-β tokamak equilibrium with a skin current is reduced to a one-dimensional problem for which a new variational principle is derived.
openaire +2 more sources
A free boundary tokamak equilibrium
Communications on Pure and Applied Mathematics, 1974Grad, H., Kadish, A., Stevens, D. C.
openaire +2 more sources
On the Computation of Free Boundaries
1987Problems in which the solution of a (partial) differential equation has to satisfy certain conditions on the boundary of a prescribed domain are referred to as boundary-value problems. In many cases, however, the boundary of the domain is not known in advance but has to be determined as part of the solution.
openaire +1 more source