Nonlinear Evolution Equation:
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| Main Authors: | , , , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin
De Gruyter
2020
|
| Edition: | 1. Auflage |
| Subjects: | |
| Online Access: | http://www.degruyter.com/search?f_0=isbnissn&q_0=9783110624670&searchTitles=true Inhaltsverzeichnis |
| Item Description: | Erscheint nicht! |
| Physical Description: | X, 320 Seiten 21 Illustrationen 24 cm x 17 cm |
| ISBN: | 3110624672 9783110624670 |
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MARC
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| 245 | 1 | 0 | |a Nonlinear Evolution Equation |c Boling Guo, Fei Chen, Jing Shao, Ting Luo |
| 250 | |a 1. Auflage | ||
| 264 | 1 | |a Berlin |b De Gruyter |c 2020 | |
| 300 | |a X, 320 Seiten |b 21 Illustrationen |c 24 cm x 17 cm | ||
| 336 | |b txt |2 rdacontent | ||
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| 338 | |b nc |2 rdacarrier | ||
| 500 | |a Erscheint nicht! | ||
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| 653 | |a 1620: Hardcover, Softcover / Mathematik | ||
| 653 | |a Fachpublikum/ Wissenschaft | ||
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| 653 | |a Hardback | ||
| 653 | |a MAT003000 | ||
| 653 | |a MAT003000 | ||
| 653 | |a MAT007000: MAT007000 MATHEMATICS / Differential Equations / General | ||
| 653 | |a PBKJ: Differential calculus & equations | ||
| 653 | |a PBW: Applied mathematics | ||
| 653 | |a PHU: Mathematical physics | ||
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| 700 | 1 | |a Chen, Fei |e Verfasser |4 aut | |
| 700 | 1 | |a Shao, Jing |e Verfasser |4 aut | |
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| 999 | |a oai:aleph.bib-bvb.de:BVB01-031710875 | ||
Record in the Search Index
| _version_ | 1804180827080228864 |
|---|---|
| adam_text | CONTENTS
PREFACE
*
V
1
1.1
1.2
1.3
1.4
1.5
PHYSICAL
BACKGROUNDS
FOR
SOME
NONLINEAR
EVOLUTION
EQUATIONS
*
1
THE
WAVE
EQUATION
UNDER
WEAK
NONLINEAR
ACTION
AND
KDV
EQUATION
*
1
ZAKHAROV
EQUATION
AND
THE
SOLITONS
IN
PLASMA
*
9
LANDAU-LIFSHITZ
EQUATION
AND
THE
MAGNETIZED
MOTION
*
18
BOUSSINESQ
EQUATION,
TODA
LATTICE
AND
BORN-LNFELD
EQUATION
*
21
2D
K-P
EQUATION
*
25
2
THE
PROPERTIES
OF
THE
SOLUTIONS
FOR
SOME
NONLINEAR
EVOLUTION
EQUATIONS
*
29
2.1
THE
SMOOTH
SOLUTION
FOR
THE
INITIAL-BOUNDARY
VALUE
PROBLEM
OF
NONLINEAR
SCHRODINGER
EQUATION
*
30
2.2
THE
EXISTENCE
OF
THE
WEAK
SOLUTION
FOR
THE
INITIAL-BOUNDARY
VALUE
PROBLEMS
OF
GENERALIZED
LANDAU-LIFSHITZ
EQUATIONS
*
34
2.2.1
2.2.2
2.2.3
THE
BASIC
ESTIMATES
OF
THE
LINEAR
PARABOLIC EQUATIONS
*
34
THE
EXISTENCE
OF
THE
SPIN
EQUATIONS
*
35
THE
EXISTENCE
OF
THE
SOLUTION
TO
THE
INITIAL-BOUNDARY
VALUE
PROBLEM
OF
THE
GENERALIZED
LANDAU-LIFSHITZ
EQUATIONS
*
38
2.3
2.4
THE
LARGE
TIME
BEHAVIOR
FOR
GENERALIZED
KDV
EQUATIONS
*
42
THE
DECAY
ESTIMATES
FOR
THE
WEAK
SOLUTION
OF
NAVIER-STOKES
EQUATIONS
*
59
2.5
THE
*
BLOWING
UP
PHENOMENON
FOR
THE
CAUCHY
PROBLEM
OF
NONLINEAR
SCHRODINGER
EQUATIONS
*
70
2.6
THE
*
BLOW
UP
*
PROBLEM
FOR
THE SOLUTIONS
OF
SOME
SEMILINEAR
AND
HYPERBOLIC
EQUATIONS
*
76
2.7
THE
SMOOTHNESS
OF
THE
WEAK
SOLUTIONS
FOR
BENJAMIN-ONO
EQUATIONS
*
90
3
3.1
3.2
3.3
SOME
RESULTS
FROM
THE
STUDY
OF
SOME
NONLINEAR
EVOLUTION
EQUATIONS
*
103
NONLINEAR
WAVE
EQUATIONS
AND
NONLINEAR
SCHRDDINGER
EQUATIONS
*
103
KDV
EQUATIONS
*
119
LANDAU-LIFSHITZ
EQUATIONS
*
129
4
SIMILARITY
SOLUTION
AND
THE
PAINLEVE
PROPERTY
FOR
SOME
NONLINEAR
EVOLUTION
EQUATIONS
*
139
4.1
4.2
4.3
CLASSICAL
INFINITESIMAL
TRANSFORMATIONS
*
139
STRUCTURE
OF
LIE
ALGEBRA
FOR
INFINITESIMAL
OPERATOR
*
153
NONCLASSICAL
INFINITESIMAL
TRANSFORMATIONS
*
155
VIII
*
*
CONTENTS
4.4
A
DIRECT
METHOD
FOR
SOLVING
SIMILARITY
SOLUTIONS
*
160
4.5
THE
PAINLEVE
PROPERTIES
FOR
SOME
PDE
*
170
5
INFINITE-DIMENSIONAL
DYNAMICAL
SYSTEMS
*
179
5.1
INFINITE-DIMENSIONAL
DYNAMICAL
SYSTEMS
*
180
5.2
SOME
PROBLEMS
FOR
INFINITE-DIMENSIONAL
DYNAMICAL
SYSTEMS
*
184
5.3
GLOBAL
ATTRACTOR
AND
ITS
HAUSDORFF,
FRACTAL
DIMENSIONS
*
193
5.4
GLOBAL
ATTRACTOR
AND
THE
BOUNDS
OF
HAUSDORFF
DIMENSIONS
FOR
WEAK
DAMPED
KDV
EQUATION
*
203
5.4.1
UNIFORM
A
PRIORI
ESTIMATION
WITH
RESPECT
TO
T
*
203
5.5
GLOBAL
ATTRACTOR
AND
THE
BOUNDS
OF
HAUSDORFF
DIMENSIONS
FOR
WEAK
DAMPED
NONLINEAR
SCHRODINGER
EQUATION
*
214
5.5.1
UNIFORM
A
PRIORI
ESTIMATION
WITH
RESPECT
TO
T
*
214
5.5.2
TRANSFORMING
TO
CAUCHY
PROBLEM
OF
THE
OPERATOR
*
219
5.5.3
THE
EXISTENCE
OF
BOUNDED
ABSORBING
SET
OF
H
1
MODULAR
*
221
5.5.4
THE
EXISTENCE
OF
BOUNDED
ABSORBING
SET
OF
H
2
MODULAR
*
222
5.5.5
NONLINEAR
SEMIGROUP
AND
LONG-TIME
BEHAVIOR
*
226
5.5.6
THE
DIMENSION
OF
INVARIANT
SET
*
229
5.6
GLOBAL
ATTRACTOR
AND
THE
BOUNDS
OF
HAUSDORFF,
FRACTAL
DIMENSIONS
FOR
DAMPED
NONLINEAR
WAVE
EQUATION
*
235
5.6.1
LINEAR
WAVE
EQUATION
*
235
5.6.2
NONLINEAR
WAVE
EQUATION
*
240
5.6.3
THE
MAXIMAL
ATTRACTOR
*
247
5.6.4
DIMENSION
OF
THE
MAXIMAL
ATTRACTOR
*
250
5.6.5
APPLICATION
*
257
5.6.6
NONAUTONOMOUS
SYSTEM
*
262
5.7
INERTIAL
MANIFOLD
FOR
ONE
CLASS
OF
NONLINEAR
EVOLUTION
EQUATIONS
*
265
5.8
APPROXIMATE
INERTIAL
MANIFOLD
*
284
5.9
NONLINEAR
GALERKIN
METHOD
*
293
5.10
INERTIAL
SET
*
319
A
APPENDIX
*
341
A.L
BASIC
NOTATION
AND
FUNCTION
SPACE
*
341
A.2
SOBOLEV
EMBEDDING
THEOREM
AND
INTERPOLATION
FORMULA
*
343
A.3
FIXED-POINT
THEOREM
*
346
BIBLIOGRAPHY
*
349
INDEX
*
361
|
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| discipline | Mathematik |
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| illustrated | Illustrated |
| indexdate | 2024-07-10T08:41:56Z |
| institution | BVB |
| institution_GND | (DE-588)10095502-2 |
| isbn | 3110624672 9783110624670 |
| language | English |
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| physical | X, 320 Seiten 21 Illustrationen 24 cm x 17 cm |
| publishDate | 2020 |
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| publisher | De Gruyter |
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| spelling | Guo, Boling Verfasser aut Nonlinear Evolution Equation Boling Guo, Fei Chen, Jing Shao, Ting Luo 1. Auflage Berlin De Gruyter 2020 X, 320 Seiten 21 Illustrationen 24 cm x 17 cm txt rdacontent n rdamedia nc rdacarrier Erscheint nicht! Nichtlineare Evolutionsgleichung (DE-588)4221363-0 gnd rswk-swf 1620: Hardcover, Softcover / Mathematik Fachpublikum/ Wissenschaft Hardback MAT003000 MAT007000: MAT007000 MATHEMATICS / Differential Equations / General PBKJ: Differential calculus & equations PBW: Applied mathematics PHU: Mathematical physics SCI040000: SCI040000 SCIENCE / Physics / Mathematical & Computational Nichtlineare Evolutionsgleichung (DE-588)4221363-0 s DE-604 Chen, Fei Verfasser aut Shao, Jing Verfasser aut Luo, Ting Verfasser aut Walter de Gruyter GmbH & Co. KG (DE-588)10095502-2 pbl Erscheint auch als Online-Ausgabe 9783110614787 Erscheint auch als Online-Ausgabe 9783110615470 X:MVB http://www.degruyter.com/search?f_0=isbnissn&q_0=9783110624670&searchTitles=true DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=031710875&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Guo, Boling Chen, Fei Shao, Jing Luo, Ting Nonlinear Evolution Equation Nichtlineare Evolutionsgleichung (DE-588)4221363-0 gnd |
| subject_GND | (DE-588)4221363-0 |
| title | Nonlinear Evolution Equation |
| title_auth | Nonlinear Evolution Equation |
| title_exact_search | Nonlinear Evolution Equation |
| title_full | Nonlinear Evolution Equation Boling Guo, Fei Chen, Jing Shao, Ting Luo |
| title_fullStr | Nonlinear Evolution Equation Boling Guo, Fei Chen, Jing Shao, Ting Luo |
| title_full_unstemmed | Nonlinear Evolution Equation Boling Guo, Fei Chen, Jing Shao, Ting Luo |
| title_short | Nonlinear Evolution Equation |
| title_sort | nonlinear evolution equation |
| topic | Nichtlineare Evolutionsgleichung (DE-588)4221363-0 gnd |
| topic_facet | Nichtlineare Evolutionsgleichung |
| url | http://www.degruyter.com/search?f_0=isbnissn&q_0=9783110624670&searchTitles=true http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=031710875&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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