Vanishing viscosity method: solutions to nonlinear systems
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| Main Authors: | , , , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin ; Boston
De Gruyter
[2017]
|
| Subjects: | |
| Online Access: | http://www.degruyter.com/search?f_0=isbnissn&q_0=9783110495287&searchTitles=true Inhaltsverzeichnis |
| Physical Description: | VIII, 561 Seiten Illustrationen 24 cm x 17 cm |
| ISBN: | 9783110495287 |
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MARC
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| 100 | 1 | |a Guo, Boling |d 1936- |e Verfasser |0 (DE-588)1073302334 |4 aut | |
| 245 | 1 | 0 | |a Vanishing viscosity method |b solutions to nonlinear systems |c Boling Guo, Dongfen Bian, Fangfang Li, Xiaoyu Xi |
| 263 | |a 201612 | ||
| 264 | 1 | |a Berlin ; Boston |b De Gruyter |c [2017] | |
| 300 | |a VIII, 561 Seiten |b Illustrationen |c 24 cm x 17 cm | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 650 | 0 | 7 | |a Viskositätslösung |0 (DE-588)4463279-4 |2 gnd |9 rswk-swf |
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| 689 | 0 | 0 | |a Dynamisches System |0 (DE-588)4013396-5 |D s |
| 689 | 0 | 1 | |a Viskositätslösung |0 (DE-588)4463279-4 |D s |
| 689 | 0 | |5 DE-604 | |
| 700 | 1 | |a Bian, Dongfen |e Verfasser |4 aut | |
| 700 | 1 | |a Li, Fangfang |e Verfasser |4 aut | |
| 700 | 1 | |a Xi, Xiaoyu |e Verfasser |4 aut | |
| 710 | 2 | |a Walter de Gruyter GmbH & Co. KG |0 (DE-588)10095502-2 |4 pbl | |
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| 999 | |a oai:aleph.bib-bvb.de:BVB01-029279335 | ||
Record in the Search Index
| _version_ | 1804176756442136576 |
|---|---|
| adam_text | CONTENTS
1
1 .1
1.1.1
1
.
1.2
1.1.3
1.2
1.3
1.4
1.5
2
2.1
2.2
2.3
2.4
2.5
2.6
2.7
2.8
2.9
2.10
2.11
3
3.1
3.2
3.3
3.4
3.5
3.6
3.7
SOBOLEV SPACE AND PRELIMINARIES * 1
BASIC NOTATION AND FUNCTION SPACES * 1
BASIC NOTATION* 1
FUNCTION SPACES* 1
SOME BASIC INEQUALITIES * 3
WEAK DERIVATIVES AND ITS PROPERTIES,
W*(Q)
AND
HJ,P(Q)
SPACES * 4
SOBOLEV EMBEDDING THEOREM AND INTERPOLATION FORMULA * 6
COMPACTNESS THEORY * 24
FIXED POINT PRINCIPLE * 37
THE VANISHING VISCOSITY METHOD OF SOME NONLINEAR EVOLUTION SYSTEM * 39
PERIODIC BOUNDARY AND CAUCHY PROBLEM FOR HIGH-ORDER GENERALIZED KDV
SYSTEM IN DIMENSION ONE * 39
SOME KDV SYSTEM WITH HIGH-ORDER DERIVATIVE TERM * 62
HIGH-ORDER MULTIVARIABLE KDV SYSTEMS AND HIROTA COUPLED KDV
SYSTEMS * 72
INITIAL BOUNDARY VALUE PROBLEM FOR FERRIMAGNETIC EQUATIONS * 88
EXISTENCE AND UNIQUENESS OF SMOOTH SOLUTION TO FERRIMAGNETIC
EQUATIONS AND OTHER PROBLEMS FOR HIGH-DIMENSIONAL FERRIMAGNETIC
EQUATIONS WITH NONLINEAR BOUNDARY CONDITIONS * 100
PERIODIC BOUNDARY PROBLEM AND INITIAL VALUE PROBLEM FOR THE COUPLING
KDV-SCHROEDINGER EQUATIONS* 117
INITIAL VALUE PROBLEM FOR THE NONLINEAR SINGULAR INTEGRAL AND
DIFFERENTIAL
EQUATIONS IN DEEP WATER * 132
INITIAL VALUE PROBLEM FOR THE NONLINEAR SCHROEDINGER EQUATIONS * 159
INITIAL VALUE PROBLEM AND BOUNDARY VALUE PROBLEM FOR THE NONLINEAR
SCHROEDINGER EQUATION WITH DERIVATIVE* 165
INITIAL VALUE PROBLEM FOR BOUSSINESQ EQUATIONS * 187
INITIAL VALUE PROBLEM FOR LANGMUIR TURBULENCE EQUATIONS * 210
THE VANISHING VISCOSITY METHOD OF QUASILINEAR HYPERBOLIC SYSTEM * 233
GENERALIZED SOLUTIONS TO THE FIRST-ORDER QUASILINEAR HYPERBOLIC EQUATION
IN ONE DIMENSION * 233
EXISTENCE AND UNIQUENESS OF THE GENERAL SOLUTION TO FIRST-ORDER
MULTIVARIABLE QUASILINEAR EQUATIONS * 246
CONVERGENCE OF SOLUTIONS TO THE MULTIDIMENSIONAL LINEAR PARABOLIC
SYSTEM WITH SMALL PARAMETER* 264
ON GRADIENT QUASILINEAR PARABOLIC EQUATIONS AND VISCOUS ISENTROPIC GAS
HYDRODYNAMIC EQUATIONS * 274
ON SOME RESULTS OF SOME QUASILINEAR PARABOLIC EQUATIONS* 308
ON TRAVELING WAVE SOLUTIONS OF SOME QUASILINEAR PARABOLIC EQUATIONS
WITH SMALL PARAMETER* 318
ON GENERAL SOLUTIONS OF SOME DIAGONAL QUASILINEAR HYPERBOLIC
EQUATIONS * 337
3.8
3.9
3.10
4
4.1
4.2
4.3
4.4
4.5
4.6
4.7
4.8
4.9
4.10
4.11
5
5.1
5.2
5.3
6
6.1
6.2
6.3
6.4
6.5
6.5.1
6.5.2
6.5.3
6.5.4
6.5.5
6.6
THE COMPENSATED COMPACTNESS METHOD * 349
THE EXISTENCE OF GENERALIZED SOLUTIONS FOR THE FIRST-ORDER QUASILINEAR
HYPERBOLIC SYSTEM * 373
CONVERGENCE OF SOLUTIONS TO SOME NONLINEAR DISPERSIVE EQUATIONS * 389
PHYSICAL VISCOSITY AND VISCOSITY OF DIFFERENCE SCHEME * 415
IDEAL FLUID, VISCOUS FLUID AND RADIATION HYDRODYNAMIC EQUATIONS * 415
THE ARTIFICIAL VISCOSITY OF DIFFERENCE SCHEME * 424
THE FUNDAMENTAL DIFFERENCE BETWEEN LINEAR AND NONLINEAR VISCOSITY
QUALITATIVELY* 427
VON NEUMANN ARTIFICIAL VISCOSITY AND GODUNOV SCHEME IMPLICIT
VISCOSITY
----
431
SEVERAL DIFFERENCE SCHEMES WITH MIXED VISCOSITY
----
442
ARTIFICIAL VISCOSITY PROBLEM FOR HYDRODYNAMIC EQUATIONS WITH RADIATION
CONDUCTIVITY TRANSFER TERM * 450
QUALITATIVE ANALYSIS OF SINGULAR POINTS OF SOME ARTIFICIAL VISCOSITY
EQUATION * 454
NUMERICAL CALCULATION RESULTS AND ANALYSIS* 460
LOCAL COMPARISON OF DIFFERENT VISCOSITY METHOD TO INITIAL DISCONTINUITY
PROBLEM FOR ONE-DIMENSIONAL RADIATION HYDRODYNAMIC EQUATIONS WITH
DIFFERENT MEDIUM
----
470
IMPLICIT VISCOSITY OF PIC METHOD * 477
TWO-DIMENSIONAL *ARTIFICIAL VISCOSITY* PROBLEM * 480
CONVERGENCE OF LAX-FRIEDRICHS SCHEME, GODUNOV
SCHEME AND GLIMM SCHEME * 485
CONVERGENCE OF LAX-FRIEDRICHS DIFFERENCE SCHEME * 485
THE CONVERGENCE OF HYPERBOLIC EQUATIONS IN LAX-FRIEDRICHS
SCHEME * 501
CONVERGENCE OF GLIMM SCHEME * 513
ELECTRLC-MAGNETOHYDRODYNAMIC EQUATIONS * 531
INTRODUCTION * 531
DEFINITION OF THE FINITE ENERGY WEAK SOLUTION * 534
THE FAEDO-GALERKIN APPROXIMATION * 536
THE VANISHING VISCOSITY LIMIT * 540
PASSING TO THE LIMIT IN THE ARTIFICIAL PRESSURE TERM * 541
PASSING TO THE LIMIT* 541
THE EFFECTIVE VISCOUS FLUX * 544
THE AMPLITUDE OF OSCILLATIONS * 546
THE RENORMALIZED SOLUTIONS
----
547
STRONG CONVERGENCE OF THE DENSITY * 549
LARGE-TIME BEHAVIOR OF WEAK SOLUTIONS
----
553
REFERENCES* 557
|
| any_adam_object | 1 |
| author | Guo, Boling 1936- Bian, Dongfen Li, Fangfang Xi, Xiaoyu |
| author_GND | (DE-588)1073302334 |
| author_facet | Guo, Boling 1936- Bian, Dongfen Li, Fangfang Xi, Xiaoyu |
| author_role | aut aut aut aut |
| author_sort | Guo, Boling 1936- |
| author_variant | b g bg d b db f l fl x x xx |
| building | Verbundindex |
| bvnumber | BV043869430 |
| classification_tum | MAT 354f |
| ctrlnum | (OCoLC)968228556 (DE-599)DNB1105060527 |
| dewey-full | 510 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 510 - Mathematics |
| dewey-raw | 510 |
| dewey-search | 510 |
| dewey-sort | 3510 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV043869430 |
| illustrated | Illustrated |
| indexdate | 2024-07-10T07:37:14Z |
| institution | BVB |
| institution_GND | (DE-588)10095502-2 |
| isbn | 9783110495287 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-029279335 |
| oclc_num | 968228556 |
| open_access_boolean | |
| owner | DE-91G DE-BY-TUM DE-83 |
| owner_facet | DE-91G DE-BY-TUM DE-83 |
| physical | VIII, 561 Seiten Illustrationen 24 cm x 17 cm |
| publishDate | 2017 |
| publishDateSearch | 2017 |
| publishDateSort | 2017 |
| publisher | De Gruyter |
| record_format | marc |
| spelling | Guo, Boling 1936- Verfasser (DE-588)1073302334 aut Vanishing viscosity method solutions to nonlinear systems Boling Guo, Dongfen Bian, Fangfang Li, Xiaoyu Xi 201612 Berlin ; Boston De Gruyter [2017] VIII, 561 Seiten Illustrationen 24 cm x 17 cm txt rdacontent n rdamedia nc rdacarrier Viskositätslösung (DE-588)4463279-4 gnd rswk-swf Dynamisches System (DE-588)4013396-5 gnd rswk-swf Dynamisches System (DE-588)4013396-5 s Viskositätslösung (DE-588)4463279-4 s DE-604 Bian, Dongfen Verfasser aut Li, Fangfang Verfasser aut Xi, Xiaoyu Verfasser aut Walter de Gruyter GmbH & Co. KG (DE-588)10095502-2 pbl Erscheint auch als Online-Ausgabe, EPUB 978-3-11-049257-6 Erscheint auch als Online-Ausgabe, PDF 978-3-11-049427-3 http://www.degruyter.com/search?f_0=isbnissn&q_0=9783110495287&searchTitles=true Verlag DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=029279335&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Guo, Boling 1936- Bian, Dongfen Li, Fangfang Xi, Xiaoyu Vanishing viscosity method solutions to nonlinear systems Viskositätslösung (DE-588)4463279-4 gnd Dynamisches System (DE-588)4013396-5 gnd |
| subject_GND | (DE-588)4463279-4 (DE-588)4013396-5 |
| title | Vanishing viscosity method solutions to nonlinear systems |
| title_auth | Vanishing viscosity method solutions to nonlinear systems |
| title_exact_search | Vanishing viscosity method solutions to nonlinear systems |
| title_full | Vanishing viscosity method solutions to nonlinear systems Boling Guo, Dongfen Bian, Fangfang Li, Xiaoyu Xi |
| title_fullStr | Vanishing viscosity method solutions to nonlinear systems Boling Guo, Dongfen Bian, Fangfang Li, Xiaoyu Xi |
| title_full_unstemmed | Vanishing viscosity method solutions to nonlinear systems Boling Guo, Dongfen Bian, Fangfang Li, Xiaoyu Xi |
| title_short | Vanishing viscosity method |
| title_sort | vanishing viscosity method solutions to nonlinear systems |
| title_sub | solutions to nonlinear systems |
| topic | Viskositätslösung (DE-588)4463279-4 gnd Dynamisches System (DE-588)4013396-5 gnd |
| topic_facet | Viskositätslösung Dynamisches System |
| url | http://www.degruyter.com/search?f_0=isbnissn&q_0=9783110495287&searchTitles=true http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=029279335&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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