Physics on Manifolds

ISBN-13: 9780792325000 / Angielski / Twarda / 1993 / 384 str.

M. Flato; R. Kerner; A. Lichnerowicz

Opis

Illustrates developments in the many areas of contemporary physics which have benefitted from the work and influence of Yvonne Choquet-Bruhat. The work considers the role of geometry of manifolds in space-time physics and that of functional analysis in quantum mechanics and quantum field theory.

Spis treści

Foreword. Introduction; J.C. Legrand. Relativistic dissipative fluids; A.M. Anile, G. Ali, V. Romano. Mathematical problems related to liquid crystals, superconductors and superfluids; H. Brezis. Microcanonical action and the entropy of a rotating black hole; J.D. Brown, J.W. York, Jr. Problème de Cauchy sur un cônoïde caractéristique. Applications à certains systèmes non linéaires d'origine physique; F. Cagnac, M. Dossa. Recent progress on the Cauchy problem in general relativity; D. Christodoulou. On some links between mathematical physics and physics in the context of general relativity; T. Damour. Functional integration. A multipurpose tool; C. DeWitt-Morette. Generalized frames of references and intrinsic Cauchy problem in general relativity; G. Ferrarese, C. Cattani. Reducing Einstein's equations to an unconstrained hamiltonian system on the cotangent bundle of Teichmüller space; A.E. Fischer, V. Moncrief. Darboux transformations for a class of integrable systems in n variables; C.H. Gu. Group theoretical treatment of fundamental solutions; N.H. Ibragimov. On the regularity properties of the wave equation; S. Klainerman, M. Machedon. Le problème de Cauchy linéaire et analytique pour un opérateur holomorphe et un second membre ramifié; J. Leray. On Boltzmann equation; P.L. Lions. Star products and quantum groups; C. Moreno, L. Valero. On asymptotic of solutions of a nonlinear elliptic equation in a cylindrical domain; O. Oleinik. Fundamental physics in universal space-time; I. Segal. Interaction of gravitational and electromagnetic waves in general relativity; A.H. Taub. Anti-self dual conformal structures on 4-manifolds; C. Taubes. Chaotic behavior in relativistic motion; E. Calzetta. Some results on non constant mean curvature solutions of the Einstein constraint equations; J. Isenberg, V. Moncrief. Levi condition for general systems; W. Matsumoto. Conditions invariantes pour un système, du type conditions de Levi; J. Vaillant. Black holes in supergravity; P.C. Aichelburg. Low-dimensional behaviour in the rotating driven cavity problem; E.A. Christensen, J.N. Sorensen, M. Brons, P.L. Christiansen. Some geometrical aspects of inhomogeneous elasticity; M. Epstein, G.A. Maugin. Integrating the Kadomtsev-Petviashvili equation in the 1+3 dimensions via the generalised Monge-Ampère equation: an example of conditioned Painlevé test; T. Brugarino, A. Greco. Spinning mass endowed with electric charge and magnetic dipole moment; V.S. Manko, N.R. Sibgatullin. Equations de Vlasov en théorie discrète; G. Pichon. Convexity and symmetrization in classical and relativistic balance laws systems; T. Ruggeri.