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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Year of Publication:2021
Language:English
Physical Description:1 electronic resource (204 p.)
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spelling Lychagin, Valentin edt
Geometric Analysis of Nonlinear Partial Differential Equations
Basel, Switzerland MDPI - Multidisciplinary Digital Publishing Institute 2021
1 electronic resource (204 p.)
text txt rdacontent
computer c rdamedia
online resource cr rdacarrier
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.
English
Research & information: general bicssc
Mathematics & science bicssc
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
3-0365-1046-X
3-0365-1047-8
Krasilshchik, Joseph edt
Lychagin, Valentin oth
Krasilshchik, Joseph oth
language English
format eBook
author2 Krasilshchik, Joseph
Lychagin, Valentin
Krasilshchik, Joseph
author_facet Krasilshchik, Joseph
Lychagin, Valentin
Krasilshchik, Joseph
author2_variant v l vl
j k jk
author2_role HerausgeberIn
Sonstige
Sonstige
title Geometric Analysis of Nonlinear Partial Differential Equations
spellingShingle Geometric Analysis of Nonlinear Partial Differential Equations
title_full Geometric Analysis of Nonlinear Partial Differential Equations
title_fullStr Geometric Analysis of Nonlinear Partial Differential Equations
title_full_unstemmed Geometric Analysis of Nonlinear Partial Differential Equations
title_auth Geometric Analysis of Nonlinear Partial Differential Equations
title_new Geometric Analysis of Nonlinear Partial Differential Equations
title_sort geometric analysis of nonlinear partial differential equations
publisher MDPI - Multidisciplinary Digital Publishing Institute
publishDate 2021
physical 1 electronic resource (204 p.)
isbn 3-0365-1046-X
3-0365-1047-8
illustrated Not Illustrated
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