Results 211 to 220 of about 59,515 (231)

Well-Posedness and Optimality [PDF]

, 1999
Mathematical modeling of soil venting leads to a system of partial differential equations. Before starting all computations, one must do the qualitative and quantitative analysis of solutions for corresponding problems (at least in simple situations as the study cases).
Horst H. Gerke, Marián Slodička, Stephan Schumacher, Youcef Kelanemer, Ulrich Hornung   +4 more
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Well Posedness for Pressureless Flow

Communications in Mathematical Physics, 2001
This paper considers the one-dimensional pressureless gases and studies the uniqueness of weak solutions when the initial data is a Radon measure. It is shown that besides the Oleinik entropy condition, it is important to require the energy to be weakly continuous initially; and without this energy condition, the weak solution satisfying the Oleinik ...
Feimin Huang, Zhen Wang
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Well Posedness

2012
This chapter deals with electromagnetic fields in complex media in the time domain. First, the chapter discusses the Maxwell equations in complex media in the time domain and shows that they can be expressed as integrodifferential equations. It then provides a convenient functional setting that allows the Maxwell equation to be treated as an ...
G. F. Roach, I. G. Stratis, A. N. Yannacopoulos   +2 more
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Well-Posedness of Mixed Formulations in Elasticity

ZAMM, 1999
The authors use the Hilbert space theory to obtain existence and uniqueness theorems for a mixed boundary value problem of linear elastostatics in which the elastic compliance is singular, and a linear constraint is imposed on the strain fields. The theorems are illustrated by problems on: (i) an elastic plate resting on a finite number of elastic ...
ROMANO G., ROSATI, LUCIANO, DIACO, MARINA   +2 more
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Well-Posedness and L-Well-Posedness for Quasivariational Inequalities

Journal of Optimization Theory and Applications, 2006
In this paper, two concepts of well-posedness for quasivariational inequalities having a unique solution are introduced. Some equivalent characterizations of these concepts and classes of well-posed quasivariational inequalities are presented.
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Well-posedness and weak well-posedness in Banach spaces

1997
Let (X, ‖ · ‖) be a Banach space. Let Φ be the class of all continuous linear (affine) functionals. A function f is Φ-convex if and only if it is convex and lower semi-continuous.
Diethard Pallaschke, Stefan Rolewicz
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Weak formulation and well-posedness

2021
This chapter focuses on the weak formulation of the time-dependent Stokes equations. We consider two possible weak formulations. The first one enforces the divergence-free constraint on the velocity field without introducing the pressure. This formulation can be handled by using the same analysis tools as for parabolic problems.
Jean-Luc Guermond, Alexandre Ern
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Well-posedness and convexity in vector optimization [PDF]

Mathematical Methods of Operations Research (ZOR), 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Miglierina, Enrico, Molho, E.
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Well-Posedness and Porosity [PDF]

, 2010
We recall the concept of porosity [10, 26, 27, 84, 97, 98, 112]. Let (Y, d) be a complete metric space. We denote by Bd(y, r) the closed ball of center \(y\ \in\ Y,\) and radius r > 0. A subset \(E \subset Y\) is called porous with respect to d (or just porous if the metric is understood) if there exist \(\alpha \in\) (0, 1] and r0 > 0 such that for ...
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On Well-Posedness of Relay Systems

IFAC Proceedings Volumes, 2001
Abstract In this paper we study the well-posedness (existence and uniqueness of solutions) of linear relay systems with respect to two different solution concepts. We derive necessary and sufficient conditions for well-posedness in the sense of Filippov of linear systems of relative degree one and two in closed loop with relay feedback.
A.Yu. Pogromsky, Wpmh Maurice Heemels, Henk Nijmeijer   +2 more
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