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...

Whakaahuatanga katoa

I tiakina i:
Ngā taipitopito rārangi puna kōrero
Hōputu: Online
Reo:Ingarihi
I whakaputaina: MDPI - Multidisciplinary Digital Publishing Institute 2022
Ngā marau:
Urunga tuihono:ONIX_20220111_9783036510460_237
Ngā Tūtohu: Tāpirihia he Tūtohu
Kāore He Tūtohu, Me noho koe te mea tuatahi ki te tūtohu i tēnei pūkete!
_version_ 1869516046885453824
collection Directory of Open Access Books
description 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 Online
id doab-20.500.12854ir-76501
institution Directory of Open Access Books
language eng
publishDate 2022
publishDateRange 2022
publishDateSort 2022
publisher MDPI - Multidisciplinary Digital Publishing Institute
publisherStr MDPI - Multidisciplinary Digital Publishing Institute
record_format ojs
spelling doab-20.500.12854ir-765012024-03-28T03:32:13Z Geometric Analysis of Nonlinear Partial Differential Equations Lychagin, Valentin Krasilshchik, Joseph 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 thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general thema EDItEUR::P Mathematics and Science 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. 2022-01-11T13:33:40Z 2022-01-11T13:33:40Z 2021 book ONIX_20220111_9783036510460_237 9783036510460 9783036510477 https://directory.doabooks.org/handle/20.500.12854/76501 eng image/jpeg Attribution 4.0 International https://mdpi.com/books/pdfview/book/3947 https://mdpi.com/books/pdfview/book/3947 MDPI - Multidisciplinary Digital Publishing Institute 10.3390/books978-3-0365-1047-7 10.3390/books978-3-0365-1047-7 46cabcaa-dd94-4bfe-87b4-55023c1b36d0 9783036510460 9783036510477 204 Basel, Switzerland open access
spellingShingle 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
thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general
thema EDItEUR::P Mathematics and Science
Geometric Analysis of Nonlinear Partial Differential Equations
title 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_short Geometric Analysis of Nonlinear Partial Differential Equations
title_sort geometric analysis of nonlinear partial differential equations
topic 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
thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general
thema EDItEUR::P Mathematics and Science
topic_facet 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
thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general
thema EDItEUR::P Mathematics and Science
url ONIX_20220111_9783036510460_237