Singularly perturbed problems in case of exchange of stabilities:
Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin
WIAS
2002
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| Schriftenreihe: | Report / Weierstraß-Institut für Angewandte Analysis und Stochastik im Forschungsverbund Berlin e.V.
21 |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Literaturverz. S. 144 - 150 |
| Beschreibung: | 150 S. graph. Darst. |
Internformat
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Datensatz im Suchindex
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| adam_text | WEIERSTRAFI-INSTITUT FUR ANGEWANDTE ANALYSIS UND STOCHASTIK IM
FORSCHUNGSVERBUND BERLIN E.V. SINGULARLY PERTURBED PROBLEMS IN CASE OF
EXCHANGE OF STABILITIES VALENTIN F. BUTUZOV 1 , NIKOLAI N. NEFEDOV 1 ,
KLAUS R. SCHNEIDER 2 SUBMITTED: 24TH APRIL 2002 1 MOSCOW STATE
UNIVERSITY 2 WEIERSTRAFI*INSTITUT DEPARTMENT OF PHYSICS FUR ANGEWANDTE
ANALYSIS VOROB OVI GORI UND STOCHASTIK 119992 MOSCOW MOHRENSTRAFIE 39
RUSSIA 10117 BERLIN E-MAIL: BUTUZOV@PHYS.MSU.SU GERMANY E-MAIL:
NEFEDOV@PHYS.MSU.SU E-MAIL: SCHNEIDE@WIAS-BERLIN.DE REPORT NO. 21 BERLIN
2002 2000 MATHEMATICS SUBJECT CLASSIFICATION. 34-0 2, 35-02, 34E15,
34E05, 34A12, 34B15, 35B25, 35J25, 35K57. KEY WORDS AND PHRASES.
SINGULARLY PERTURBED DIFFERENTIAL EQUATIONS, ASYMPTOTIC EXPANSIONS, EX-
CHANGE OF STABILITIES, DELAYED EXCHANGE OF STABILITIES, INITIAL VALUE
PROBLEMS, BOUNDARY VALUE PROB- LEMS, INITIAL-BOUNDARY VALUE PROBLEMS.
THIS WORK HAS BEEN SUPPORTED BY RFFI-DFG GRANTS AND BY WIAS. CONTENTS 0
INTRODUCTION 5 0.1 ON THE DEVELOPMENT OF THE THEORY OF SINGULAR
PERTURBATIONS 5 0.2 TIKHONOV S FUNDAMENTAL THEOREM ON SINGULARLY
PERTURBED SYSTEMS . . 6 0.3 UNIFORM ASYMPTOTICS 8 0.4 EXCHANGE OF
STABILITIES IN SINGULARLY PERTURBED PROBLEMS 10 0.5 PROBLEMS OF REACTION
KINETICS LEADING TO SINGULARLY PERTURBED DIFFER- ENTIAL EQUATIONS IN
CASE OF EXCHANGE OF STABILITIES 13 0.6 THE PHENOMENON OF DELAYED
EXCHANGE OF STABILITIES 15 0.7 CONTENT OF THE SURVEY ARTICLE 16 1
INITIAL VALUE PROBLEM FOR SYSTEMS OF TIKHONOV S TYPE 21 1.1 FORMULATION
OF THE PROBLEM. ASSUMPTIONS 21 1.2 COMPOSED STABLE SOLUTION OF THE
DEGENERATE PROBLEM 23 1.3 ASYMPTOTIC BEHAVIOR OF THE SOLUTION 25 1.4
EXAMPLE: FAST BIMOLECULAR REACTION WITH MONOMOLECULAR SLOW REACTION 30 2
DELAYED EXCHANGE OF STABILITIES FOR ODES 33 2.1 FORMULATION OF THE
PROBLEM 33 2.2 ASSUMPTIONS 34 2.3 MAIN RESULTS 37 2.4 EXAMPLES 42 3
BOUNDARY VALUE PROBLEMS FOR SECOND ORDER EQUATIONS 45 3.1 INTRODUCTION
45 3.2 STATEMENT OF THE PROBLEM 48 3.3 CONSTRUCTION OF AN UPPER SOLUTION
49 3.4 CONSTRUCTION OF A LOWER SOLUTION 51 3.5 THE MAIN RESULT 53 3.6
THE CASE WHEN / DEPENDS ON E 54 4 BOUNDARY VALUE PROBLEMS FOR SYSTEMS OF
TICHONOV S TYPE 57 4.1 FORMULATION OF THE PROBLEMS * 57 4.2 THE COMPOSED
STABLE SOLUTION OF THE DEGENERATE PROBLEM FOR (BIVP) . 59 4.3 THE
ASYMPTOTIC BEHAVIOR OF THE SOLUTION OF (BIVP) IN CASE WHEN G DEPENDS ONE
61 4.4 (BIVP) IN THE CASE WHEN G DOES NOT DEPEND ONE 65 4.5 THE COMPOSED
STABLE SOLUTION OF THE DEGENERATE PROBLEM FOR (BVP) . 77 4.6 THE
ASYMPTOTIC BEHAVIOR OF THE SOLUTION OF (BVP) IN THE CASE WHEN G DEPENDS
ONE *. 78 4.7 PROBLEM (BVP) IN THE CASE WHEN G DOES NOT DEPEND ONE 84 5
INITIAL BOUNDARY VALUE PROBLEM FOR A PARABOLIC EQUATION 85 5.1
FORMULATION OF THE PROBLEM 85 5.2 ASSUMPTIONS 86 5.3 EXISTENCE AND
ASYMPTOTIC BEHAVIOR OF THE SOLUTION 88 5.4 EXAMPLE 94 6 DELAYED
EXCHANGE OF STABILITIES IN PARABOLIC PROBLEMS 96 6.1 FORMULATION OF THE
PROBLEM 96 6.2 ASSUMPTIONS 97 6.3 MAIN RESULTS .100 7 PARTLY DISSIPATIVE
REACTION-DIFFUSION SYSTEMS 106 7.1 FORMULATION OF THE PROBLEM 106 7.2
COMPOSED STABLE SOLUTION OF THE DEGENERATE PROBLEM 108 7.3 ASYMPTOTIC
BEHAVIOR OF THE SOLUTION ILL 7.4 EXAMPLE 119 7.5 REACTION-DIFFUSION
SYSTEM OF TWO PARABOLIC EQUATIONS 121 8 BOUNDARY VALUE PROBLEMS FOR
ELLIPTIC EQUATIONS 123 8.1 FORMULATION OF THE PROBLEM. ASSUMPTIONS 123
|
| any_adam_object | 1 |
| author | Butuzov, Valentin F. Nefedov, Nikolaj N. Schneider, Klaus R. |
| author_facet | Butuzov, Valentin F. Nefedov, Nikolaj N. Schneider, Klaus R. |
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| author_sort | Butuzov, Valentin F. |
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| building | Verbundindex |
| bvnumber | BV016463964 |
| classification_rvk | SI 303 |
| ctrlnum | (OCoLC)51704442 (DE-599)BVBBV016463964 |
| discipline | Mathematik |
| format | Book |
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| indexdate | 2024-07-09T19:10:47Z |
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| physical | 150 S. graph. Darst. |
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| series2 | Report / Weierstraß-Institut für Angewandte Analysis und Stochastik im Forschungsverbund Berlin e.V. |
| spelling | Butuzov, Valentin F. Verfasser aut Singularly perturbed problems in case of exchange of stabilities Valentin F. Butuzov ; Nikolai N. Nefedov ; Klaus R. Schneider. Weierstraß-Institut für Angewandte Analysis und Stochastik im Forschungsverbund Berlin e.V. Berlin WIAS 2002 150 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Report / Weierstraß-Institut für Angewandte Analysis und Stochastik im Forschungsverbund Berlin e.V. 21 Literaturverz. S. 144 - 150 Nefedov, Nikolaj N. Verfasser aut Schneider, Klaus R. Verfasser aut Weierstraß-Institut für Angewandte Analysis und Stochastik im Forschungsverbund Berlin e.V. Report 21 (DE-604)BV009889758 21 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010178558&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Butuzov, Valentin F. Nefedov, Nikolaj N. Schneider, Klaus R. Singularly perturbed problems in case of exchange of stabilities |
| title | Singularly perturbed problems in case of exchange of stabilities |
| title_auth | Singularly perturbed problems in case of exchange of stabilities |
| title_exact_search | Singularly perturbed problems in case of exchange of stabilities |
| title_full | Singularly perturbed problems in case of exchange of stabilities Valentin F. Butuzov ; Nikolai N. Nefedov ; Klaus R. Schneider. Weierstraß-Institut für Angewandte Analysis und Stochastik im Forschungsverbund Berlin e.V. |
| title_fullStr | Singularly perturbed problems in case of exchange of stabilities Valentin F. Butuzov ; Nikolai N. Nefedov ; Klaus R. Schneider. Weierstraß-Institut für Angewandte Analysis und Stochastik im Forschungsverbund Berlin e.V. |
| title_full_unstemmed | Singularly perturbed problems in case of exchange of stabilities Valentin F. Butuzov ; Nikolai N. Nefedov ; Klaus R. Schneider. Weierstraß-Institut für Angewandte Analysis und Stochastik im Forschungsverbund Berlin e.V. |
| title_short | Singularly perturbed problems in case of exchange of stabilities |
| title_sort | singularly perturbed problems in case of exchange of stabilities |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010178558&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV009889758 |
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