Results 301 to 310 of about 10,780,423 (379)

Weak solution of a Neumann boundary value problem with 𝑝(𝑥)-Laplacian-like operator

Analysis, 2022
In this paper, we study the existence of a weak solution for a class of Neumann boundary value problems for equations involving the p ⁢ ( x ) p(x) -Laplacian-like operator.
Mohamed El Ouaarabi, C. Allalou, S. Melliani   +2 more
semanticscholar   +1 more source

Weak Solution of a Continuum Model For Vicinal Surface in The Attachment-Detachment-Limited Regime

SIAM Journal on Mathematical Analysis, 2016
We study in this work a continuum model derived from 1D attachment-detachment-limited (ADL) type step flow on vicinal surface, $ u_t=-u^2(u^3)_{hhhh}$, where $u$, considered as a function of step height $h$, is the step slope of the surface. We formulate
Yuan Gao, Jian‐Guo Liu, Jianfeng Lu
semanticscholar   +1 more source

Existence of a Weak Solution to a Nonlinear Fluid–Structure Interaction Problem Modeling the Flow of an Incompressible, Viscous Fluid in a Cylinder with Deformable Walls

Archive for Rational Mechanics and Analysis, 2012
We study a nonlinear, unsteady, moving boundary, fluid–structure interaction (FSI) problem arising in modeling blood flow through elastic and viscoelastic arteries.
B. Muha, S. Čanić
semanticscholar   +1 more source

Weak Solutions for Obstacle Problems with Weak Monotonicity

Studia Scientiarum Mathematicarum Hungarica, 2021
This paper is concerned with the existence of weak solutions for obstacle problems. By means of the Young measure theory and a theorem of Kinderlehrer and Stampacchia, we obtain the needed result.
Farah Balaadich, Elhoussine Azroul
openaire   +1 more source

WEAK SOLUTIONS FOR WEAK SINGULARITIES

International Journal of Modern Physics A, 2002
We revisit the problem of the development of singularities in the gravitational collapse of an inhomogeneous dust sphere. As shown by Yodzis et al1, naked singularities may occur at finite radius where shells of dust cross one another. These singularities are gravitationally weak 2, and it has been claimed that at these singularities, the metric may ...
openaire   +1 more source

Weak Solutions and Balayage

2021
Weak solutions, of variational inequality type, are introduced. Their defining properties can be equivalently expressed in terms of quadrature identities for subharmonic functions, or in terms of partial balayage. Some versions of inverse balayage are also discussed, this needed as a preparatory step for constructing more general Laplacian evolutions ...
Björn Gustafsson, Yu-Lin Lin
openaire   +1 more source

Global Weak Solution and Large-Time Behavior for the Compressible Flow of Liquid Crystals

, 2011
The three-dimensional equations for the compressible flow of liquid crystals are considered. An initial-boundary value problem is studied in a bounded domain with large data. The existence and large-time behavior of a global weak solution are established
Dehua Wang, Cheng Yu
semanticscholar   +1 more source

Weak Solutions for Semi-Martingales

Canadian Journal of Mathematics, 1981
The fundamental theorem of this paper is stated in Section 8. In this theorem, the stochastic differential equation dX = a(X)dZ is studied when Z is a *-dominated (cf. [15]) Banach space valued process and a is a predictable functional which is continuous for the uniform norm.For such an equation, the existence of a “weak solution” is stated; actually,
openaire   +2 more sources

Weak Solutions of SDEs

2015
So far, we have focussed on solutions of SDEs where we are simply given a filtration, and with it the Brownian motion W and the random measure μ. We then construct the solution to our equation ( 17.2). In essence, we have used no properties of the filtration except the fact that W and μ are adapted.
Samuel N. Cohen, Robert J. Elliott
openaire   +1 more source

Weak Sharp Solutions of Variational Inequalities

SIAM Journal on Optimization, 1998
Summary: We give sufficient conditions for the finite convergence of descent algorithms for solving variational inequalities involving generalized monotone mappings.
Marcotte, Patrice, Zhu, Daoli
openaire   +1 more source