Geometric Analysis of Nonlinear Partial Differential Equations

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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Bibliographic Details
Other Authors: Lychagin, Valentin (Editor), Krasilshchik, Joseph (Editor)
Format: Book Chapter
Published: Basel, Switzerland MDPI - Multidisciplinary Digital Publishing Institute 2021
Subjects:
Research & information: general
Mathematics & science
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
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