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Titre	Variational Methods in Mechanics
Taille du fichier	1,227 KiloByte
Des pages	112 Pages
Libéré	3 years 6 months 3 days ago
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Temps	45 min 12 seconds
Qualité	DV Audio 44.1 kHz

Variational Methods in Mechanics

Catégorie: Famille et bien-être, Santé, Forme et Diététique
Auteur: Koya Tatsuhito, Mura Toshio
Éditeur: Juan J. Linz, Smith Patti
Publié: 2017-11-26
Écrivain: Maxwell Maltz
Langue: Grec ancien, Hongrois, Espagnol, Italien, Coréen
Format: eBook Kindle, pdf

Variational methods in relativistic quantum mechanics - This review is devoted to the study of stationary solutions of linear and nonlinear equations from relativistic quantum mechanics, involving the Dirac operator. The solutions are found as critical points of an energy functional. Contrary to the Laplacian appearing in the equations of nonrelativistic quantum mechanics, the Dirac operator has a negative continuous spectrum which is not bounded from below. This has two main consequences. First, the energy functional is strongly indefinite. Second, the Euler-Lagrange equations are linear or nonlinear eigenvalue problems with eigenvalues lying in a spectral gap (between the negative and positive continuous spectra). Moreover, since we work in the space domain R^3, the Palais-Smale condition is not satisfied. For these reasons, the problems discussed in this review pose a challenge in the Calculus of Variations. The existence proofs involve sophisticated tools from nonlinear analysis and have required new variational methods which are now applied to other problems.

Jacques Féjoz, colloques - ... Variational Methods in Celestial Mechanics (Casa Matematica Oaxaca, Mexico, 2022/06/19-24); Weak KAM theory XXV years later (2022/5/31-6/4, Avignon) ...

Variational & Spectral Methods in Quantum Mechanics | IHP ... - Variational & Spectral Methods in Quantum Mechanics. 15 April, 2013 - 12 July, 2013. Organizers : Maria ESTEBAN, Mathieu LEWIN. Scientific program: ...

Models and analysis of quasistatic contact : variational methods / M. Shillor, M. Sofonea, Telega - Beluga - Université Grenoble Alpes - Models and analysis of quasistatic contact : variational methods / M. Shillor, M. Sofonea, Telega-book

LMA - Laboratoire de Mécanique et d'Acoustique - in Variational Methods in the Mechanics of Solids. Ed. S. Nemat-Nasser, Pergamon Press, Oxford, 1980, Suquet P. : "Méthodes d' ...

Variational approach to fracture mechanics with plasticity - In the framework of rate-independent systems, an elastic-plastic-damage model, aimed at the description of ductile fracture processes, is proposed and investigated through a variational formulation. A cohesive, or ductile, crack occurs when the displacement field suffers a discontinuity whilst still being associated to a non-vanishing tensile stress. To predict and effectively describe ductile fracture phenomena is a crucial task for many engineering materials (metals, polymers, ...), as testified by the great interest of the scientific community on the subject. Gradient damage models have been fruitfully used for the description of brittle fractures: in such cases, once the damage level reaches its maximum value, a crack is created where the traction between the two opposite lips immediately drops to zero. On other other hand, the perfect plasticity model could describe the formation of plastic slips at constant stress level. Hence, in order to describe the typical effects of a cohesive fracture, the main id

Andres A. Leon Baldelli - ‪CNRS, IMSIA UMR 9219‬ - ‪‪Cité(e) 121 fois‬‬ - ‪fracture mechanics‬ - ‪damage mechanics‬ - ‪thin films‬ - ‪liquid crystals‬ - ‪defects in liquid crystals‬

Variational methods in imaging and geometric control – Radon Series, de Gruyter - With a focus on the interplay between mathematics and applications of imaging, the first part covers topics from optimization, inverse problems and shape spaces to computer vision and computational anatomy. The second part is geared towards geometric control and related topics, including Riemannian geometry, celestial mechanics and quantum control.   The contributions originate from Workshops ...

Laurent Stainier - ‪Professeur, Ecole Centrale Nantes‬ - ‪‪Cité(e) 2 568 fois‬‬ - ‪mécanique numérique‬ - ‪computational mechanics‬

Contribution to algorithmic strategies for solving coupled thermo-mechanical problems by an energy-consistent variational approach - 28 May 2013 ... problems by an energy-consistent variational approach. ... Keywords: Variational formulation, thermo-mechanics, coupled problems, monolithic ...

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