01169nam a2200277 i 4500991001364169707536110906s2004 de a b 011 0 ger d3823361104b14002826-39ule_instDip.to LingueitaPluralität in der Fachsprachenforschung /Klaus-Dieter Baumann, Hartwig Kalverkämper Tübingen :Gunter Narr,c2004490 p. :ill. ;23 cmForum für Fachsprachen-Forschung ;67Contiene riferimenti bibliografici ed indiceLinguaggi settorialiLinguaggi specialisticiLinguisticaBaumann, Klaus-Dieterauthorhttp://id.loc.gov/vocabulary/relators/aut731743Kalverkämper, Hartwigauthorhttp://id.loc.gov/vocabulary/relators/aut481068.b1400282602-04-1406-09-11991001364169707536LE012 401.4 BAU12012000449800le012-E0.00-l- 02120.i1531314106-09-11Pluralität in der Fachsprachenforschung1441701UNISALENTOle01206-09-11ma -gerde 0003383nam 22006375 450 991084549500332120250807132315.03-031-53074-810.1007/978-3-031-53074-6(CKB)31253178200041(MiAaPQ)EBC31229852(Au-PeEL)EBL31229852(DE-He213)978-3-031-53074-6(EXLCZ)993125317820004120240322d2024 u| 0engur|||||||||||txtrdacontentcrdamediacrrdacarrierAnalytical Properties of Nonlinear Partial Differential Equations with Applications to Shallow Water Models1st ed. 2024.Cham :Springer International Publishing :Imprint: Springer,2024.1 online resource (322 pages)CMS/CAIMS Books in Mathematics,2730-6518 ;103-031-53073-X Includes bibliographical references and index.Equations of Fluid dynamics and the shallow water approximation -- Integrability and related analytical properties of nonlinear PDE systems -- Analytical properties of some classical shallow-water models -- Discussion.Nonlinear partial differential equations (PDE) are at the core of mathematical modeling. In the past decades and recent years, multiple analytical methods to study various aspects of the mathematical structure of nonlinear PDEs have been developed. Those aspects include C- and S-integrability, Lagrangian and Hamiltonian formulations, equivalence transformations, local and nonlocal symmetries, conservation laws, and more. Modern computational approaches and symbolic software can be employed to systematically derive and use such properties, and where possible, construct exact and approximate solutions of nonlinear equations. This book contains a consistent overview of multiple properties of nonlinear PDEs, their relations, computation algorithms, and a uniformly presented set of examples of application of these methods to specific PDEs. Examples include both well known nonlinear PDEs and less famous systems that arise in the context of shallow water waves and far beyond. The book will be of interest to researchers and graduate students in applied mathematics, physics, and engineering, and can be used as a basis for research, study, reference, and applications.CMS/CAIMS Books in Mathematics,2730-6518 ;10GeographyMathematicsMathematicsDynamicsBiomathematicsMathematics of Planet EarthMathematicsDynamical SystemsMathematical and Computational BiologyGeographyMathematics.Mathematics.Dynamics.Biomathematics.Mathematics of Planet Earth.Mathematics.Dynamical Systems.Mathematical and Computational Biology.381Cheviakov Alexei1734365Zhao PengMiAaPQMiAaPQMiAaPQBOOK9910845495003321Analytical Properties of Nonlinear Partial Differential Equations4151204UNINA