On a pure traction problem for the nonlinear elasticity system in Sobolev spaces with variable exponents [PDF]
, 2022 The paper deals with a nonlinear elasticity system with nonconstant coefficients. The existence and uniqueness of the solution of Neumann’s problem is proved using Galerkin techniques and monotone operator theory, in Sobolev spaces with variable ...
MEROUANI, Boubakeur, ZOUBAI, Fayrouz
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Incompressible limit for compressible viscoelastic flows with large velocity
Advances in Nonlinear Analysis, 2023 We are concerned with the incompressible limit of global-in-time strong solutions with arbitrary large initial velocity for the three-dimensional compressible viscoelastic equations.
Hu Xianpeng +3 more
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Study of a mixed problem for a nonlinear elasticity system by topological degree [PDF]
, 2021 In this paper, we consider a mixed problem for a nonlinear elasticity system with laws of general behavior. The coefficients of elasticity depends on x meanwhile the density of the volumetric forces depends on the displacement. The main aim of this paper
MEROUANI, Boubakeur, ZOUBAI, Fayrouz
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Alexandria Engineering Journal, 2020 In this paper, an extension is paid to an idea of fractal and fractional derivatives which has been applied to a number of ordinary differential equations to model a system of partial differential equations.
Kolade M. Owolabi +2 more
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On the global well-posedness of discrete Boltzmann systems with chemical reaction [PDF]
, 2005 Classificação AMS: 76P05, 35A05, 35L50We study an initial-boundary value problem in one-space dimension for the discrete Boltzmann equation extended to a diatomic gas undergoing both elastic multiple collisions and chemical reactions.
Soares, A. J., Oliveira, Filipe
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Optimal Interpolation Constant for the Generalized Schrödinger-Newton System [PDF]
, 2015 2010 Mathematics Subject Classification: 35A05, 35A15, 35Q51 ...
Georgiev, Vladimir, Venkov, George
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Uniqueness and comparison principles for semilinear equations and inequalities in Carnot groups
Advances in Nonlinear Analysis, 2018 Variants of the Kato inequality are proved for distributional solutions of semilinear equations and inequalities on Carnot groups. Various applications to uniqueness, comparison of solutions and Liouville theorems are presented.
D’Ambrosio Lorenzo, Mitidieri Enzo
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Initial-boundary value problem for the Broadwell model of a gas mixture with bimolecular reaction [PDF]
, 1998 Classificação AMS: 76P05, 35A05, 35L50In this paper an initial-boundary value problem in one space dimension is studied for the Broadwell model extended to a gas mixture undergoing to bimolecular reactions.
Soares, A. J.
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Effect of Torso Non-Homogeneities in the quasi-static inverse problems arising in electrocardiology
Moroccan Journal of Pure and Applied Analysis, 2019 In the present paper, an homogeneous and non-homogeneous inverse problem constrained by the stationary problem in electrocardiology representing the heart, lungs surfaces, and torso model is investigated.
Ainseba BedrEddine +2 more
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Incompressible limit for the compressible viscoelastic fluids in critical space
Advances in Nonlinear AnalysisIn this article, we consider the incompressible limit of global-in-time strong solutions with arbitrary large initial velocity for the compressible viscoelastic fluids in the sense of critical Besov framework. We decouple our compressible system into two
Han Bin, Wu Dan
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