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Mathematical methods in the applied sciences, 2020
In this work, we consider a linear thermoelastic laminated timoshenko beam with distributed delay, where the heat conduction is given by cattaneoâs law. we establish the well posedness of the system.
Abdelbaki Choucha +2 more
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In this work, we consider a linear thermoelastic laminated timoshenko beam with distributed delay, where the heat conduction is given by cattaneoâs law. we establish the well posedness of the system.
Abdelbaki Choucha +2 more
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Well-Posedness and L-Well-Posedness for Quasivariational Inequalities
Journal of Optimization Theory and Applications, 2006zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Weak formulation and well-posedness
2021This 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.
Alexandre Ern, Jean-Luc Guermond
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Global well-posedness for the derivative nonlinear Schrödinger equation
Inventiones Mathematicae, 2020This paper is dedicated to the study of the derivative nonlinear Schrödinger equation on the real line. The local well-posedness of this equation in the Sobolev spaces Hs(R)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym ...
H. Bahouri, G. Perelman
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Well Posedness for Pressureless Flow
Communications in Mathematical Physics, 2001This 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 ...
Huang, Feimin, Wang, Zhen
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Global Well-Posedness of Free Interface Problems for the Incompressible Inviscid Resistive MHD
Communications in Mathematical Physics, 2020We consider the plasma-vacuum interface problem in a horizontally periodic slab impressed by a uniform non-horizontal magnetic field. The lower plasma region is governed by the incompressible inviscid and resistive MHD, the upper vacuum region is ...
Yanjin Wang, Z. Xin
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Well Posedness and Inf-Convolution
Journal of Optimization Theory and Applications, 2018We prove that the notion of Tykhonov well-posed problems is stable under the operation of inf-convolution. We deal with lower semicontinuous functions (not necessarily convex) defined on a metric magma. Several applications are given, in particular to the study of the map argmin.
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Well-posedness and weak well-posedness in Banach spaces
1997Let (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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Global well-posedness for the 3-D MHD equations with partial diffusion in the periodic domain
Science China Mathematics, 2021Wenjing Chen +2 more
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Well-Posedness of Dynamic Cosserat Plasticity
Applied Mathematics and Optimization, 2007We investigate the regularizing properties of generalized continua of micropolar type for dynamic elasto-plasticity. To this end we propose an extension of classical infinitesimal elasto-plasticity to include consistently non-dissipative micropolar effects and we show that the dynamic model allows for a unique, global in-time solution of the ...
Neff, Patrizio, Chełmiński, Krzysztof
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