Variational principles and free boundary problems:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
New York (u.a.)
Wiley
1982
|
| Series: | Pure and applied mathematics.
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | IX, 710 S. |
| ISBN: | 0471868493 |
| ISSN: | 0079-8185 |
Staff View
MARC
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Record in the Search Index
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|---|---|
| adam_text | CONTENTS
INTRODUCTION
1. Variational Inequalities: Existence and Regularity 4
1. An example, 4
2. General theory of existence and uniqueness, 9
3 W2 p regularity for the obstacle problem, 19
4. W2 x regularity for the obstacle problem, 31
5. The filtration problem, 47
6. The elastic plastic torsion problem: W2 p regularity, 55
7. The elastic plastic torsion problem: Jf 2°° regularity, 65
8. Parabolic variational inequalities, 72
9. The Stefan problem, 82
10. Variational inequalities for the biharmonic operator, 90
11. Thin obstacles, 105
12. Bibliographical remarks, 125
2. Variational Inequalities: Analysis of the Free Boundary 128
1. The Hodograph Legendre transformation, 128
2. Regularity in two dimensions, 138
3. General properties of the free boundary, 154
4. Convexity properties of the coincidence set, 163
5. Regularity of the free boundary when MD(A) is positive, 170
6. The free boundary for the filtration problem, 177
7. Regularity of the free boundary for the elastic plastic
torsion problem, 193
8. The shape of the free boundary for the elastic plastic
torsion problem, 203
9. The free boundary for the Stefan problem, 225
10. Stability of free boundaries, 250
11. Free boundaries with singularities, 256
12. Bibliographical remarks, 263
vii
viii CONTENTS
3. Jets and Cavities 265
1. Examples of jets and cavities, 266
2. The variational problem, 271
3. Regularity and nondegeneracy, 275
4. Regularity of the free boundary, 284
5. The bounded gradient lemma and the nonoscillation lemma, 285
6. Convergence of free boundaries, 288
7. Symmetric rearrangements, 293
8. Axially symmetric jet flows, 297
9. The free boundary is a curve x = k(y), 309
10. Monotonicity and uniqueness, 318
11. The smooth fit theorems, 324
12. Existence and uniqueness for axially symmetric jets, 335
13. Convexity of the free boundary, 339
14. The plane symmetric jet flow, 344
15. Asymmetric jet flows, 345
16. The free boundary for the asymmetric case, 353
17. Monotonicity, continuity, and existence for the asymmetric
jet problem, 358
18. Jets with gravity, 366
19. The continuous fit for the gravity case, 379
20. Axially symmetric finite cavities, 391
21. Axially symmetric infinite cavities, 400
22. Bibliographical remarks, 415
4. Variational Problems with Potentials 417
1. Self gravitating axisymmetric rotating fluids, 418 !
2. Estimates of gravitational potentials, 426
3. Existence of solutions, 433
4. Rapidly rotating fluids, 443
5. The rings of rotating fluids, 456
6. Vortex rings, 470
7. Energy identities and potential estimates, 478
8. Existence of vortex rings, 487
9. A capacity estimate, 501
10. Asymptotic estimates for vortex rings, 507
11. The plasma problem: existence of solutions, 520
12. The free boundary for the plasma problem, 529
13. Asymptotic estimates for the plasma problem, 531
14. A variational approach to convex plasmas, 549
15. The Thomas Fermi model, 563
16. Existence of solution for the Thomas Fermi model, 568
17. Regularity of the free boundary for the Thomas Fermi model, 576
18. Bibliographical remarks, 586
CONTENTS ix
5. Some Free boundary Problems Not in Variational Form 589
1. The porous medium equation: existence and uniqueness, 589
2. Estimates on the expansion of gas, 604
3. Holder continuity of the solution, 617
4. Growth and Holder continuity of the free boundary, 627
5. The differential equation on the free boundary, 636
6. The general two dimensional filtration problem: existence, 650
7. Regularity of the free boundary, 657
8. Uniqueness for the filtration problem, 668
9. The filtration problem in n dimensions, 674
10. The two phase Stefan problem, 684
11. Bibliographical remarks, 693
References 695
Index 709
|
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| dewey-full | 515.3/53 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.3/53 |
| dewey-search | 515.3/53 |
| dewey-sort | 3515.3 253 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV005793615 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T16:34:46Z |
| institution | BVB |
| isbn | 0471868493 |
| issn | 0079-8185 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-003620426 |
| oclc_num | 8476148 |
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| owner | DE-703 |
| owner_facet | DE-703 |
| physical | IX, 710 S. |
| publishDate | 1982 |
| publishDateSearch | 1982 |
| publishDateSort | 1982 |
| publisher | Wiley |
| record_format | marc |
| series2 | Pure and applied mathematics. |
| spelling | Friedman, Avner 1932- Verfasser (DE-588)135938368 aut Variational principles and free boundary problems New York (u.a.) Wiley 1982 IX, 710 S. txt rdacontent n rdamedia nc rdacarrier Pure and applied mathematics. 0079-8185 EDP inriac Principes variationnels Problèmes aux limites Problèmes aux limites ram Randwaardeproblemen gtt inéquation variationnelle inriac principe variationnel inriac problème aux limites inriac Boundary value problems Variational principles Variationsrechnung (DE-588)4062355-5 gnd rswk-swf Randwertproblem (DE-588)4048395-2 gnd rswk-swf Partielle Differentialgleichung (DE-588)4044779-0 gnd rswk-swf Randwertproblem (DE-588)4048395-2 s Partielle Differentialgleichung (DE-588)4044779-0 s Variationsrechnung (DE-588)4062355-5 s DE-604 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=003620426&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Friedman, Avner 1932- Variational principles and free boundary problems EDP inriac Principes variationnels Problèmes aux limites Problèmes aux limites ram Randwaardeproblemen gtt inéquation variationnelle inriac principe variationnel inriac problème aux limites inriac Boundary value problems Variational principles Variationsrechnung (DE-588)4062355-5 gnd Randwertproblem (DE-588)4048395-2 gnd Partielle Differentialgleichung (DE-588)4044779-0 gnd |
| subject_GND | (DE-588)4062355-5 (DE-588)4048395-2 (DE-588)4044779-0 |
| title | Variational principles and free boundary problems |
| title_auth | Variational principles and free boundary problems |
| title_exact_search | Variational principles and free boundary problems |
| title_full | Variational principles and free boundary problems |
| title_fullStr | Variational principles and free boundary problems |
| title_full_unstemmed | Variational principles and free boundary problems |
| title_short | Variational principles and free boundary problems |
| title_sort | variational principles and free boundary problems |
| topic | EDP inriac Principes variationnels Problèmes aux limites Problèmes aux limites ram Randwaardeproblemen gtt inéquation variationnelle inriac principe variationnel inriac problème aux limites inriac Boundary value problems Variational principles Variationsrechnung (DE-588)4062355-5 gnd Randwertproblem (DE-588)4048395-2 gnd Partielle Differentialgleichung (DE-588)4044779-0 gnd |
| topic_facet | EDP Principes variationnels Problèmes aux limites Randwaardeproblemen inéquation variationnelle principe variationnel problème aux limites Boundary value problems Variational principles Variationsrechnung Randwertproblem Partielle Differentialgleichung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=003620426&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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