Bounded weak solutions to nonlinear elliptic equations
Electronic Journal of Qualitative Theory of Differential Equations, 2009 In this work, we are concerned with a class of elliptic problems with both absorption terms and critical growth in the gradient. We suppose that the data belong to $L^{m}(\Omega)$ with $m>n/2$ and we prove the existence of bounded weak solutions via $L^{\
Abderrahmane El Hachimi, Jaouad Igbida
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Global weak solutions to the compressible quantum Navier–Stokes equation and its semi-classical limit [PDF]
Journal des Mathématiques Pures et Appliquées, 2016 This paper is dedicated to the construction of global weak solutions to the quantum Navier–Stokes equation, for any initial value with bounded energy and entropy. The construction is uniform with respect to the Planck constant. This allows to perform the
I. Lacroix-Violet, A. Vasseur
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Existence of Weak Solutions to an Evolutionary Model for Magnetoelasticity [PDF]
SIAM Journal on Mathematical Analysis, 2016 We prove existence of weak solutions to an evolutionary model derived for magnetoelastic materials. The model is phrased in Eulerian coordinates and consists in particular of (i) a Navier-Stokes equation that involves magnetic and elastic terms in the ...
B. Benesová +3 more
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Global solutions and decay of a nonlinear coupled system with thermo-elastic
Pesquimat, 2016 In this present work, the authors prove the existence of global solutions and the decay of nonlinear wave equation with thermo-elastic coupling give by the system of equation…..
Ricardo Fuentes Apolaya +1 more
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An existence result for quasilinear parabolic systems with lower order terms
Mathematical Modelling and Analysis, 2021 In this paper we prove the existence of weak solutions for a class of quasilinear parabolic systems, which correspond to diffusion problems, in the form where Ω is a bounded open domain of be given and The function v belongs to is in a moving and ...
Farah Balaadich, Elhoussine Azroul
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Energy Conservation for the Weak Solutions of the Compressible Navier–Stokes Equations [PDF]
Archive for Rational Mechanics and Analysis, 2016 In this paper, we prove the energy conservation for the weak solutions of the compressible Navier–Stokes equations for any time t > 0, under certain conditions.
Cheng Yu
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Uniqueness of solutions for a mathematical model for magneto-viscoelastic flows
, 2017 We investigate uniqueness of weak solutions for a system of partial differential equations capturing behavior of magnetoelastic materials. This system couples the Navier-Stokes equations with evolutionary equations for the deformation gradient and for ...
Schlömerkemper, Anja, Žabenský, Josef
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Modeling and analysis of a phase field system for damage and phase separation processes in solids [PDF]
, 2013 In this work, we analytically investigate a multi-component system for describing phase separation and damage processes in solids. The model consists of a parabolic diffusion equation of fourth order for the concentration coupled with an elliptic system ...
Bonetti, Elena +3 more
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Weak solutions with unbounded variation [PDF]
Proceedings of the American Mathematical Society, 1973 To solve a quasilinear system of hyperbolic partial differential equations with given initial data, the usual procedure is to approximate the initial data, solve the resulting problems, and show that the variation of the approximating solutions is uniformly bounded. A limiting process then can be used.
openaire +1 more source
Existence and uniqueness of weak solutions for a class of fractional superdiffusion equations
Advances in Differential Equations, 2017 In this paper, we consider the existence and uniqueness of weak solutions for a class of fractional superdiffusion equations with initial-boundary conditions.
Meilan Qiu, Liquan Mei, Ganshan Yang
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