Geometric Analysis of Nonlinear Partial Differential Equations

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 hyd...

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Other Authors: Lychagin, Valentin (Editor), Krasilshchik, Joseph (Editor)
Format: Book Chapter
Published: Basel, Switzerland MDPI - Multidisciplinary Digital Publishing Institute 2021
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072 7 |a GP  |2 bicssc 
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100 1 |a Lychagin, Valentin  |4 edt 
700 1 |a Krasilshchik, Joseph  |4 edt 
700 1 |a Lychagin, Valentin  |4 oth 
700 1 |a Krasilshchik, Joseph  |4 oth 
245 1 0 |a Geometric Analysis of Nonlinear Partial Differential Equations 
260 |a Basel, Switzerland  |b MDPI - Multidisciplinary Digital Publishing Institute  |c 2021 
300 |a 1 electronic resource (204 p.) 
506 0 |a Open Access  |2 star  |f Unrestricted online access 
520 |a 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. 
540 |a Creative Commons  |f https://creativecommons.org/licenses/by/4.0/  |2 cc  |4 https://creativecommons.org/licenses/by/4.0/ 
546 |a English 
650 7 |a Research & information: general  |2 bicssc 
650 7 |a Mathematics & science  |2 bicssc 
653 |a adjoint-symmetry 
653 |a one-form 
653 |a symmetry 
653 |a vector field 
653 |a geometrical formulation 
653 |a nonlocal conservation laws 
653 |a differential coverings 
653 |a polynomial and rational invariants 
653 |a syzygy 
653 |a free resolution 
653 |a discretization 
653 |a differential invariants 
653 |a invariant derivations 
653 |a symplectic 
653 |a contact spaces 
653 |a Euler equations 
653 |a shockwaves 
653 |a phase transitions 
653 |a symmetries 
653 |a integrable systems 
653 |a Darboux-Bäcklund transformation 
653 |a isothermic immersions 
653 |a Spin groups 
653 |a Clifford algebras 
653 |a Euler equation 
653 |a quotient equation 
653 |a contact symmetry 
653 |a optimal investment theory 
653 |a linearization 
653 |a exact solutions 
653 |a Korteweg-de Vries-Burgers equation 
653 |a cylindrical and spherical waves 
653 |a saw-tooth solutions 
653 |a periodic boundary conditions 
653 |a head shock wave 
653 |a Navier-Stokes equations 
653 |a media with inner structures 
653 |a plane molecules 
653 |a water 
653 |a Levi-Civita connections 
653 |a Lagrangian curve flows 
653 |a KdV type hierarchies 
653 |a Darboux transforms 
653 |a Sturm-Liouville 
653 |a clamped 
653 |a hinged boundary condition 
653 |a spectral collocation 
653 |a Chebfun 
653 |a chebop 
653 |a eigenpairs 
653 |a preconditioning 
653 |a drift 
653 |a error control 
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856 4 0 |a www.oapen.org  |u https://directory.doabooks.org/handle/20.500.12854/76501  |7 0  |z DOAB: description of the publication