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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Format:	Buch
Sprache:	eng
Schlagworte:	adjoint-symmetry Chebfun chebop clamped Clifford algebras contact spaces contact symmetry cylindrical and spherical waves Darboux transforms Darboux-Bäcklund transformation differential coverings differential invariants discretization drift eigenpairs error control Euler equation Euler equations exact solutions free resolution geometrical formulation head shock wave hinged boundary condition integrable systems invariant derivations isothermic immersions KdV type hierarchies Korteweg–de Vries–Burgers equation Lagrangian curve flows Levi–Civita connections linearization Mathematics and Science media with inner structures Navier–Stokes equations nonlocal conservation laws one-form optimal investment theory periodic boundary conditions phase transitions plane molecules polynomial and rational invariants preconditioning quotient equation Reference, Information and Interdisciplinary subjects Research and information: general saw-tooth solutions shockwaves spectral collocation Spin groups Sturm–Liouville symmetries symmetry symplectic syzygy vector field water
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Beschreibung
Zusammenfassung:	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.
DOI:	10.3390/books978-3-0365-1047-7