Diverse World of PDEs

Geometry and Mathematical Physics

Häftad, Engelska, 2023

AvI. S. Krasil'shchik,A. B. Sossinsky,A. M. Verbovetsky

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This volume contains the proceedings of the Alexandre Vinogradov Memorial Conference on Diffieties, Cohomological Physics, and Other Animals, held from December 13-17, 2021, at the Independent University of Moscow and Moscow State University, Moscow, Russia.The papers are devoted to various interrelations of nonlinear PDEs with geometry and integrable systems. The topics discussed are: gravitational and electromagnetic fields in General Relativity, nonlocal geometry of PDEs, Legendre foliated cocycles on contact manifolds, presymplectic gauge PDEs and Lagrangian BV formalism, jet geometry and high-order phase transitions, bi-Hamiltonian structures of KdV type, bundles of Weyl structures, Lax representations via twisted extensions of Lie algebras, energy functionals and normal forms of knots, and differential invariants of inviscid flows.The companion volume (Contemporary Mathematics, Volume 789) is devoted to Algebraic and Cohomological Aspects of PDEs.

Produktinformation

Utgivningsdatum2023-09-30
Mått178 x 254 x 19 mm
Vikt272 g
FormatHäftad
SpråkEngelska
SerieContemporary Mathematics
Antal sidor241
FörlagAmerican Mathematical Society
ISBN9781470471477

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Beräkning och matematisk analys inom Naturvetenskap och teknik

F. Ahangari, Geometric analysis of metric Legendre foliated cocycles on contact manifolds via SODE structureD. V. Alekseevsky, A. Marrani, and A. Spiro, Special Vinberg cones, invariant admissible cubics and special real manifoldsA. Cap and J. Slovak, Bundles of Weyl structures and invariant calculus for parabolic geometriesV. N. Chetverikov, Coverings and pseudosymmetries of differential equationsA. Duyunova, Differential invariants of inviscid flows in pipesM. Grigoriev, Presymplectic gauge PDEs and Lagrangian BV formalism beyond jet-bundlesG. F. Helminck and E. A. Panasenko, Minimal realizations of the KP hierarchy, its strict version and their reductionsJ. Janyska and M. Modugno, Minimal coupling of gravitational and electromagnetic fields in general relativityP. Lorenzoni and R. Vitolo, Projective-geometric aspects of bi-Hamiltonian structures of KdV typeV. Lychagin, Measurement of random operators, jet geometry and high-order phase transitionsG. Manno, J. Schumm, and A. Vollmer, Metrics admitting projective and c-projective vector fieldsO. I. Morozov, Lax representations via twisted extensions of infinite-dimensional Lie algebras: Some new resultsA. B. Sossinsky, Energy functionals and normal forms of knots and plane curves

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