Selected methods for partial differential equations with symmetry:
Saved in:
| Main Author: | |
|---|---|
| Format: | Thesis Book |
| Language: | German |
| Published: |
Augsburg
Inst. für Mathematik
1995
|
| Series: | Institut für Mathematik <Augsburg>: Report
332 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | V, 217 S. graph. Darst. |
Staff View
MARC
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| 245 | 1 | 0 | |a Selected methods for partial differential equations with symmetry |c by Stanislaus Maier-Paape. Universität Augsburg, [Institut für Mathematik] |
| 264 | 1 | |a Augsburg |b Inst. für Mathematik |c 1995 | |
| 300 | |a V, 217 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Institut für Mathematik <Augsburg>: Report |v 332 | |
| 502 | |a Zugl.: Augsburg, Univ., Habil.-Schr., 1995 | ||
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Record in the Search Index
| _version_ | 1822792319530696704 |
|---|---|
| adam_text |
CONTENTS
PREFACE
I
CONTENTS
III
1
INTRODUCTION
AND
SUMMARY
1
1.1
FORCED
SYMMETRY-BREAKING
.
1
1.2
NEUMANN
PROBLEMS
WITH
SYMMETRY
.
3
1.3
GINZBURG-LANDAU
EQUATION
.
6
1.4
APPENDICES
.
8
2
HETEROCLINIC
CYCLES
AND
SYMMETRY-BREAKING
11
2.1
INTRODUCTION:
A
MOTIVATING
EXAMPLE
.
11
2.2
THE
FLOW
FORMULA
.
17
2.3
PARAMETRIZATION
OF
THE
FIXED-POINT
SUBSPACES
.
23
2.4
BASIC
FLOWS
FOR
PERTURBATIONS
OF
THE
REACTION
TERM
.
.
34
2.5
HETEROCLINIC
CYCLES
.
44
2.6
COMPUTATION
OF
FLOWS
USING
MAPLE
.
50
3
BIFURCATION
FOR
SEMILINEAR
NEUMANN
PROBLEMS
53
3.1
INTRODUCTION
.
53
3.2
BIFURCATION
AT
CONSTANT
SOLUTIONS
ON
GENERAL
DOMAINS
.
56
3.3
BIFURCATION
AT
CONSTANT
SOLUTIONS
ON
BALLS
.
61
3.4
STATIONARY
SOLUTIONS
OF
THE
CAHN-HILLIARD
EQUATION
.
73
3.5
THE
BRANCHES
OF
RADIALLY
SYMMETRIC
SOLUTIONS
.
76
IV
CONTENTS
4
A
VARIATIONAL
APPROACH
TO
NEUMANN
PROBLEMS
87
4.1
INTRODUCTION
AND
RESULTS
.
87
4.2
CONCENTRATION
OF
MASS
.
92
4.3
MULTI-PEAKED
SOLUTIONS
.
105
4.4
SYMMETRY
OF
THE
MULTI-PEAKED
SOLUTIONS
.
112
5
DYNAMICS
FOR
THE
GINZBURG-LANDAU
EQUATION
117
5.1
INTRODUCTION
.
117
5.2
NOTATION
AND
BASIC
PROPERTIES
.
121
5.3
THE
POINCARE
MAP
.
129
5.4
EXISTENCE
OF
PERIODIC
ORBITS
.
135
5.5
INVARIANT
TORI
.
141
5.6
FIGURES
.
144
A
GROUP
THEORETIC
TOOLS
151
A.L
BASIC
NOTATION
.
151
A.
2
MAXIMAL
ISOTROPY
SUBGROUPS
OF
O(N)
.
154
A.
3
IRREDUCIBLE
SUBSPACES
OF
2(^1)
.
156
B
INVARIANTS
AND
EQUIVARIANTS
OF
0(3)
159
B.L
GENERATORS
FOR
RINGS
OF
INVARIANT
POLYNOMIALS
.
160
B.2
MODULES
OF
EQUIVARIANT
POLYNOMIAL
MAPPINGS
.
167
B.3
ORTHOGONAL
DECOMPOSITION
OF
.
171
B.4
ORTHOGONAL
DECOMPOSITION
OF
A4
T
.
178
C
GENERAL
BIFURCATION
RESULTS
185
C.L
BIFURCATION
WITHOUT
SYMMETRY
.
185
C.2
BIFURCATION
IN
THE
PRESENCE
OF
SYMMETRY
.
188
D
THE
SYMMETRY
GROUP
OF
THE
HYPER-CUBE
191
D.L
MAXIMALITY
OF
IB
N
.
192
D.2
DIMENSION
FOUR
.
195
BIBLIOGRAPHY
201
CONTENTS
V
LIST
OF
FIGURES
209
LIST
OF
SYMBOLS
211
INDEX
215 |
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| author | Maier-Paape, Stanislaus 1963- |
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| author_facet | Maier-Paape, Stanislaus 1963- |
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| author_sort | Maier-Paape, Stanislaus 1963- |
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| building | Verbundindex |
| bvnumber | BV010399884 |
| classification_rvk | SI 910 |
| ctrlnum | (OCoLC)645728284 (DE-599)BVBBV010399884 |
| discipline | Mathematik |
| format | Thesis Book |
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| genre | (DE-588)4113937-9 Hochschulschrift gnd-content |
| genre_facet | Hochschulschrift |
| id | DE-604.BV010399884 |
| illustrated | Illustrated |
| indexdate | 2025-01-31T19:03:38Z |
| institution | BVB |
| language | German |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-006926076 |
| oclc_num | 645728284 |
| open_access_boolean | |
| owner | DE-12 DE-384 DE-37 DE-703 DE-634 DE-188 |
| owner_facet | DE-12 DE-384 DE-37 DE-703 DE-634 DE-188 |
| physical | V, 217 S. graph. Darst. |
| publishDate | 1995 |
| publishDateSearch | 1995 |
| publishDateSort | 1995 |
| publisher | Inst. für Mathematik |
| record_format | marc |
| series | Institut für Mathematik <Augsburg>: Report |
| series2 | Institut für Mathematik <Augsburg>: Report |
| spelling | Maier-Paape, Stanislaus 1963- Verfasser (DE-588)1162362219 aut Selected methods for partial differential equations with symmetry by Stanislaus Maier-Paape. Universität Augsburg, [Institut für Mathematik] Augsburg Inst. für Mathematik 1995 V, 217 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Institut für Mathematik <Augsburg>: Report 332 Zugl.: Augsburg, Univ., Habil.-Schr., 1995 Partielle Differentialgleichung (DE-588)4044779-0 gnd rswk-swf Symmetrie (DE-588)4058724-1 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Symmetrie (DE-588)4058724-1 s Partielle Differentialgleichung (DE-588)4044779-0 s DE-604 Institut für Mathematik <Augsburg>: Report 332 (DE-604)BV000666245 332 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006926076&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Maier-Paape, Stanislaus 1963- Selected methods for partial differential equations with symmetry Institut für Mathematik <Augsburg>: Report Partielle Differentialgleichung (DE-588)4044779-0 gnd Symmetrie (DE-588)4058724-1 gnd |
| subject_GND | (DE-588)4044779-0 (DE-588)4058724-1 (DE-588)4113937-9 |
| title | Selected methods for partial differential equations with symmetry |
| title_auth | Selected methods for partial differential equations with symmetry |
| title_exact_search | Selected methods for partial differential equations with symmetry |
| title_full | Selected methods for partial differential equations with symmetry by Stanislaus Maier-Paape. Universität Augsburg, [Institut für Mathematik] |
| title_fullStr | Selected methods for partial differential equations with symmetry by Stanislaus Maier-Paape. Universität Augsburg, [Institut für Mathematik] |
| title_full_unstemmed | Selected methods for partial differential equations with symmetry by Stanislaus Maier-Paape. Universität Augsburg, [Institut für Mathematik] |
| title_short | Selected methods for partial differential equations with symmetry |
| title_sort | selected methods for partial differential equations with symmetry |
| topic | Partielle Differentialgleichung (DE-588)4044779-0 gnd Symmetrie (DE-588)4058724-1 gnd |
| topic_facet | Partielle Differentialgleichung Symmetrie Hochschulschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006926076&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000666245 |
| work_keys_str_mv | AT maierpaapestanislaus selectedmethodsforpartialdifferentialequationswithsymmetry |