Results 31 to 40 of about 59,515 (231)
Well-posedness of the plasma-vacuum interface problem [PDF]
, 2013 We consider the free boundary problem for the plasma-vacuum interface in ideal compressible magnetohydrodynamics (MHD). In the plasma region the flow is governed by the usual compressible MHD equations, while in the vacuum region we consider the pre ...
Secchi, Paolo, Trakhinin, Yuri
core +3 more sources
Well-Posedness for Generalized Set Equilibrium Problems
Abstract and Applied Analysis, 2013 We study the well-posedness for generalized set equilibrium problems (GSEP) and propose two types of the well-posed concepts for these problems in topological vector space settings. These kinds of well-posedness arise from some well-posedness
Yen-Cherng Lin
doaj +1 more source
Generic well-posedness in minimization problems
Abstract and Applied Analysis, 2005 The goal of this paper is to provide an overview of results concerning, roughly speaking, the following issue: given a (topologized) class of minimum problems, “how many” of them are well-posed? We will consider several ways to define the concept of “how
A. Ioffe, R. E. Lucchetti
doaj +1 more source
WELL-POSEDNESS FOR VECTOR QUASIEQUILIBRIA [PDF]
Taiwanese Journal of Mathematics, 2009 We consider well-posedness under perturbations of vector quasiequilibrium and bilevel-equilibrium problems. This kind of well-posedness relates Hadamard and Tikhonov well-posedness notions to sensitivity analysis and we apply largely techniques of the latter to establish sufficient conditions for wellposedness under perturbations.
Anh, Lam Quoc +3 more
openaire +3 more sources
Well-posedness of the Ericksen-Leslie system
, 2012 In this paper, we prove the local well-posedness of the Ericksen-Leslie system, and the global well-posednss for small initial data under the physical constrain condition on the Leslie coefficients, which ensures that the energy of the system is ...
C. Wang +19 more
core +1 more source
On well‐posedness of nonlinear conjugation boundary value problem for analytic functions
Mathematical Modelling and Analysis, 2000 We consider power type nonlinear conjugation problem for analytic functions. Our main question is to make this problem well‐posed, i.e. to find such classes of functions in which this problem possesses a unique solution.
S. V. Rogosin
doaj +1 more source
Well-posedness of the ferrimagnetic equations
Journal of Mathematical Analysis and Applications, 2008 AbstractIn this paper, we show the existence of global weak solutions of the ferrimagnetic equations on compact Riemannian manifold using the penalty method. We also show the uniqueness of the solution and its well-posedness by the energy estimates method in lower dimensions. In particular, when the space dimension is one, we can prove that the problem
Xueke Pu, Boling Guo
openaire +2 more sources
Global well-posedness of the short-pulse and sine-Gordon equations in energy space
, 2010 We prove global well-posedness of the short-pulse equation with small initial data in Sobolev space $H^2$. Our analysis relies on local well-posedness results of Sch\"afer & Wayne, the correspondence of the short-pulse equation to the sine-Gordon ...
Ablowitz M.J. +5 more
core +1 more source
α-Well-Posedness for Quasivariational Inequality Problems
Abstract and Applied Analysis, 2012 We introduce and study the concepts of α-well-posedness and L-α-well-posedness for quasivariational inequality problems having a unique solution and the concepts of α-well-posedness in the generalized sense and L-α-well-posedness in the generalized ...
Jian Wen Peng, Jing Tang
doaj +1 more source
Global well posedness for the semilinear edge-degenerate parabolic equations on singular manifolds
Advances in Nonlinear Analysis, 2023 In this article, we study the long-time dynamical behavior of the solution for a class of semilinear edge-degenerate parabolic equations on manifolds with edge singularities. By introducing a family of potential well and compactness method, we reveal the
Chen Yuxuan
doaj +1 more source