Reprint

Geometric Analysis of Nonlinear Partial Differential Equations

Edited by
June 2021
204 pages
  • ISBN978-3-0365-1046-0 (Hardback)
  • ISBN978-3-0365-1047-7 (PDF)

This book is a reprint of the Special Issue Geometric Analysis of Nonlinear Partial Differential Equations that was published in

Biology & Life Sciences
Chemistry & Materials Science
Computer Science & Mathematics
Physical Sciences
Summary
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.
Format
  • Hardback
License
© by the authors
Keywords
adjoint-symmetry; one-form; symmetry; vector field; geometrical formulation; nonlocal conservation laws; differential coverings; polynomial and rational invariants; syzygy; free resolution; discretization; differential invariants; invariant derivations; symplectic; contact spaces; Euler equations; shockwaves; phase transitions; symmetries; integrable systems; Darboux-Bäcklund transformation; isothermic immersions; Spin groups; Clifford algebras; Euler equation; quotient equation; contact symmetry; optimal investment theory; linearization; exact solutions; Korteweg–de Vries–Burgers equation; cylindrical and spherical waves; saw-tooth solutions; periodic boundary conditions; head shock wave; Navier–Stokes equations; media with inner structures; plane molecules; water; Levi–Civita connections; Lagrangian curve flows; KdV type hierarchies; Darboux transforms; Sturm–Liouville; clamped; hinged boundary condition; spectral collocation; Chebfun; chebop; eigenpairs; preconditioning; drift; error control