03630nam 2201021z- 450 991055735110332120220111(CKB)5400000000042379(oapen)https://directory.doabooks.org/handle/20.500.12854/76501(oapen)doab76501(EXLCZ)99540000000004237920202201d2021 |y 0engurmn|---annantxtrdacontentcrdamediacrrdacarrierGeometric Analysis of Nonlinear Partial Differential EquationsBasel, SwitzerlandMDPI - Multidisciplinary Digital Publishing Institute20211 online resource (204 p.)3-0365-1046-X 3-0365-1047-8 This book contains a collection of twelve papers that reflect the state of the art of nonlinear differential equations in modern geometrical theory. It comprises miscellaneous topics of the local and nonlocal geometry of differential equations and the applications of the corresponding methods in hydrodynamics, symplectic geometry, optimal investment theory, etc. The contents will be useful for all the readers whose professional interests are related to nonlinear PDEs and differential geometry, both in theoretical and applied aspects.Mathematics & sciencebicsscResearch & information: generalbicsscadjoint-symmetryChebfunchebopclampedClifford algebrascontact spacescontact symmetrycylindrical and spherical wavesDarboux transformsDarboux-Bäcklund transformationdifferential coveringsdifferential invariantsdiscretizationdrifteigenpairserror controlEuler equationEuler equationsexact solutionsfree resolutiongeometrical formulationhead shock wavehinged boundary conditionintegrable systemsinvariant derivationsisothermic immersionsKdV type hierarchiesKorteweg-de Vries-Burgers equationLagrangian curve flowsLevi-Civita connectionslinearizationmedia with inner structuresNavier-Stokes equationsnonlocal conservation lawsone-formoptimal investment theoryperiodic boundary conditionsphase transitionsplane moleculespolynomial and rational invariantspreconditioningquotient equationsaw-tooth solutionsshockwavesspectral collocationSpin groupsSturm-Liouvillesymmetriessymmetrysymplecticsyzygyvector fieldwaterMathematics & scienceResearch & information: generalLychagin Valentinedt738525Krasilshchik JosephedtLychagin ValentinothKrasilshchik JosephothBOOK9910557351103321Geometric Analysis of Nonlinear Partial Differential Equations3035512UNINA