03622nam 2201009z- 450 991055735110332120231214133303.0(CKB)5400000000042379(oapen)https://directory.doabooks.org/handle/20.500.12854/76501(EXLCZ)99540000000004237920202201d2021 |y 0engurmn|---annantxtrdacontentcrdamediacrrdacarrierGeometric Analysis of Nonlinear Partial Differential EquationsBasel, SwitzerlandMDPI - Multidisciplinary Digital Publishing Institute20211 electronic 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.Research & information: generalbicsscMathematics & sciencebicsscadjoint-symmetryone-formsymmetryvector fieldgeometrical formulationnonlocal conservation lawsdifferential coveringspolynomial and rational invariantssyzygyfree resolutiondiscretizationdifferential invariantsinvariant derivationssymplecticcontact spacesEuler equationsshockwavesphase transitionssymmetriesintegrable systemsDarboux-Bäcklund transformationisothermic immersionsSpin groupsClifford algebrasEuler equationquotient equationcontact symmetryoptimal investment theorylinearizationexact solutionsKorteweg–de Vries–Burgers equationcylindrical and spherical wavessaw-tooth solutionsperiodic boundary conditionshead shock waveNavier–Stokes equationsmedia with inner structuresplane moleculeswaterLevi–Civita connectionsLagrangian curve flowsKdV type hierarchiesDarboux transformsSturm–Liouvilleclampedhinged boundary conditionspectral collocationChebfunchebopeigenpairspreconditioningdrifterror controlResearch & information: generalMathematics & scienceLychagin Valentinedt738525Krasilshchik JosephedtLychagin ValentinothKrasilshchik JosephothBOOK9910557351103321Geometric Analysis of Nonlinear Partial Differential Equations3035512UNINA