Recent developments in the Navier-Stokes problem:
Gespeichert in:
| Beteilige Person: | |
|---|---|
| Format: | Buch |
| Sprache: | Englisch |
| Veröffentlicht: |
Boca Raton, Fla. <<[u.a.]>>
CRC
2002
|
| Ausgabe: | 1 |
| Schriftenreihe: | Chapman & Hall CRC research notes in mathematics
431 |
| Schlagwörter: | |
| Links: | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018475184&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| Beschreibung: | Literaturverz. S. 383 - 390 |
| Umfang: | XII, 395 S. |
| ISBN: | 1584882204 |
Internformat
MARC
| LEADER | 00000nam a2200000 cb4500 | ||
|---|---|---|---|
| 001 | BV024500427 | ||
| 003 | DE-604 | ||
| 005 | 20120703 | ||
| 007 | t| | ||
| 008 | 090924s2002 xx |||| 00||| eng d | ||
| 020 | |a 1584882204 |9 1-584-88220-4 | ||
| 035 | |a (OCoLC)845485045 | ||
| 035 | |a (DE-599)BVBBV024500427 | ||
| 040 | |a DE-604 |b ger |e rakwb | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-83 |a DE-355 | ||
| 082 | 0 | |a 515.353 | |
| 084 | |a SK 540 |0 (DE-625)143245: |2 rvk | ||
| 084 | |a 76D05 |2 msc | ||
| 084 | |a 35Q30 |2 msc | ||
| 100 | 1 | |a Lemarié-Rieusset, Pierre Gilles |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Recent developments in the Navier-Stokes problem |c P. G. Lemarié-Rieusset |
| 250 | |a 1 | ||
| 264 | 1 | |a Boca Raton, Fla. <<[u.a.]>> |b CRC |c 2002 | |
| 300 | |a XII, 395 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Chapman & Hall CRC research notes in mathematics |v 431 | |
| 500 | |a Literaturverz. S. 383 - 390 | ||
| 650 | 0 | 7 | |a Harmonische Analyse |0 (DE-588)4023453-8 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Navier-Stokes-Gleichung |0 (DE-588)4041456-5 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Navier-Stokes-Gleichung |0 (DE-588)4041456-5 |D s |
| 689 | 0 | 1 | |a Harmonische Analyse |0 (DE-588)4023453-8 |D s |
| 689 | 0 | |8 1\p |5 DE-604 | |
| 830 | 0 | |a Chapman & Hall CRC research notes in mathematics |v 431 |w (DE-604)BV012456897 |9 431 | |
| 856 | 4 | 2 | |m GBV Datenaustausch |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018475184&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 883 | 1 | |8 1\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk | |
| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-018475184 | |
Datensatz im Suchindex
| _version_ | 1819304394996318208 |
|---|---|
| adam_text | P G LEMARIE-RIEUSSET RECENT DEVELOPMENTS IN THE NAVIER-STOKES PROBLEM
CHAPMAN & HALL/CRC A CRC PRESS COMPANY BOCA RATON LONDON NEW YORK
WASHINGTON, D.C. TABLE OF CONTENTS INTRODUCTION 1 CHAPTER 1: WHAT IS
THIS BOOK ABOUT? 3 UNIFORM WEAK SOLUTIONS FOR THE NAVIER-STOKES
EQUATIONS 5 MILD SOLUTIONS 6 ENERGY INEQUALITIES 10 PART 1: SOME RESULTS
OF REAL HARMONIC ANALYSIS 13 CHAPTER 2: REAL INTERPOLATION, LORENTZ
SPACES AND SOBOLEV EMBEDDINGS .... 15 A PRIMER TO REAL INTERPOLATION
THEORY 15 LORENTZ SPACES 18 SOBOLEV INEQUALITIES 20 CHAPTER 3: BESOV
SPACES AND LITTLEWOOD-PALEY DECOMPOSITION 23 THE LITTLEWOOD-PALEY
DECOMPOSITION OF TEMPERED DISTRIBUTIONS 23 BESOV SPACES AS REAL
INTERPOLATION SPACES OF POTENTIAL SPACES 25 HOMOGENEOUS BESOV SPACES 28
CHAPTER 4: SHIFT-INVARIANT BANACH SPACES OF DISTRIBUTIONS AND S RELATED
BESOV SPACES , V 31 SHIFT-INVARIANT BANACH SPACES OF DISTRIBUTIONS 31
BESOV SPACES 34 HOMOGENEOUS SPACES 35 CHAPTER 5: VECTOR-VALUED INTEGRALS
39 THE CASE OF LEBESGUE SPACES 39 SPACES L P (E) 41 HEAT KERNEL AND
BESOV SPACES 44 CHAPTER 6: COMPLEX INTERPOLATION, HARDY SPACE AND
CALDERON-ZYGMUND OPERATORS 47 THE MARCINKIEWICZ INTERPOLATION THEOREM
AND THE HARDY-LITTLEWOOD MAXIMAL FUNCTION 47 THE COMPLEX METHOD IN
INTERPOLATION THEORY 50 ATOMIC HARDY SPACE AND CALDERON-ZYGMUND
OPERATORS 51 CHAPTER 7: VECTOR-VALUED SINGULAR INTEGRALS 57
CALDERON-ZYGMUND OPERATORS 57 LITTLEWOOD-PALEY DECOMPOSITION IN L P 62
MAXIMAL L P (L Q ) REGULARITY FOR THE HEAT KERNEL 64 VI CHAPTER 8: A
PRIMER TO WAVELETS 67 MULTIRESOLUTION ANALYSIS 68 DAUBECHIES WAVELETS 73
MULTIVARIATE WAVELETS 77 CHAPTER 9: WAVELETS AND FUNCTIONAL SPACES 79
LEBESGUE SPACES 79 BESOV SPACES 81 SINGULAR INTEGRALS 88 CHAPTER 10: THE
SPACE BMO 91 CARLESON MEASURES AND THE DUALITY BETWEEN ~H L AND BMO 91
THE T(L) THEOREM 95 THE LOCAL HARDY SPACE H 1 AND THE LOCAL SPACE BMO
100 PART 2: A GENERAL FRAMEWORK FOR SHIFT-INVARIANT ESTIMATES FOR THE
NAVIER*STOKES EQUATIONS 103 CHAPTER 11: WEAK SOLUTIONS FOR THE
NAVIER-STOKES EQUATIONS 105 THE LERAY PROJECTION OPERATOR AND THE OSEEN
KERNEL 105 ELIMINATION OF THE PRESSURE 107 DIFFERENTIAL FORMULATION AND
THE INTEGRAL FORMULATION FOR THE NAVIER-STOKES EQUATIONS 112 CHAPTER 12:
DIVERGENCE-FREE VECTOR WAVELETS 115 A SHORT SURVEY IN DIVERGENCE-FREE
VECTOR WAVELETS 115 BI-ORTHOGONAL BASES 116 THE DIV-CURL THEOREM 120
CHAPTER 13: THE MOLLIFIED NAVIER-STOKES EQUATIONS 123 THE MOLLIFIED
EQUATIONS 123 THE LIMITING PROCESS 128 MILD SOLUTIONS 130 PART 3:
CLASSICAL EXISTENCE RESULTS FOR THE NAVIER*STOKES EQUATIONS 133 CHAPTER
14: THE LERAY SOLUTIONS FOR THE NAVIER-STOKES EQUATIONS 135 THE ENERGY
INEQUALITY 135 ENERGY EQUALITY 139 UNIQUENESS THEOREMS 142 VLL CHAPTER
15: THE KATO THEORY OF MILD SOLUTIONS FOR THE NAVIER-STOKES EQUATIONS
145 PICARD S CONTRACTION PRINCIPLE 145 KATO S MILD SOLUTIONS IN H S , S
D/2 - 1 148 KATO S MILD SOLUTIONS IN L P , P D 151 PART 4: NEW
APPROACHES TO MILD SOLUTIONS 157 CHAPTER 16: THE MILD SOLUTIONS OF KOCH
AND TATARU 159 THE SPACE BMO 1 159 LOCAL AND GLOBAL EXISTENCE OF
SOLUTIONS 162 FOURIER TRANSFORM, NAVIER-STOKES AND BMO^~^ 167 CHAPTER
17: GENERALIZATION OF THE L P THEORY: NAVIER-STOKES AND LOCAL MEASURES
171 SHIFT-INVARIANT SPACES OF LOCAL MEASURES 171 KATO S THEOREM FOR
LOCAL MEASURES: THE DIRECT APPROACH 173 KATO S THEOREM FOR LOCAL
MEASURES: THE ROLE OF B~ 1 0 175 OO CHAPTER 18: FURTHER RESULTS FOR
LOCAL MEASURES 179 THE ROLE OF THE MORREY-CAMPANATO SPACE M 1 D AND OF
BMO^ 1 ^ 179 A PERSISTENCY THEOREM 181 SOME ALTERNATE PROOFS FOR THE
EXISTENCE OF GLOBAL SOLUTIONS 183 CHAPTER 19: REGULAR INITIAL VALUES 189
CANNONE S ADAPTED SPACES 189 SOBOLEV SPACES AND BESOV SPACES OF POSITIVE
ORDER 192 PERSISTENCY RESULTS 194 CHAPTER 20: BESOV SPACES OF NEGATIVE
ORDER 197 L P (L ) SOLUTIONS 197 POTENTIAL SPACES AND BESOV SPACES 200
PERSISTENCY RESULTS 202 CHAPTER 21: POINTWISE MULTIPLIERS OF NEGATIVE
ORDER 205 MULTIPLIERS AND MORREY-CAMPANATO SPACES 205 SOLUTIONS IN X R
211 PERTURBATED NAVIER-STOKES EQUATIONS 215 CHAPTER 22: FURTHER ADAPTED
SPACES FOR THE NAVIER-STOKES EQUATIONS 221 THE ANALYSIS OF MEYER AND
MUSCHIETTI 221 THE CASE OF BESOV SPACES OF NULL REGULARITY 226 THE
ANALYSIS OF AUSCHER AND TCHAMITCHIAN 226 CHAPTER 23: CANNONE S APPROACH
OF SELF-SIMILARITY 233 BESOV SPACES 233 THE LORENTZ SPACE L D 239
ASYMPTOTIC SELF-SIMILARITY 241 VLLL PART 5: DECAY AND REGULARITY RESULTS
FOR WEAK AND MILD SOLUTIONS 245 CHAPTER 24: SOLUTIONS OF THE
NAVIER-STOKES EQUATIONS ARE SPACE-ANALYTICAL 247 THE LE JAN AND SZNITMAN
SOLUTIONS 247 ANALYTICITY OF SOLUTIONS IN F^/ 2 1 249 ANALYTICITY OF
SOLUTIONS IN L D 250 CHAPTER 25: SPACE LOCALIZATION AND NAVIER-STOKES
EQUATIONS 255 THE MOLECULES OF FURIOLI AND TERRANEO 255 SPATIAL DECAY OF
VELOCITIES 260 VORTICITIES ARE WELL LOCALIZED 264 CHAPTER 26: TIME DECAY
FOR THE SOLUTIONS TO THE NAVIER-STOKES EQUATIONS 267 WIEGNER S
FUNDAMENTAL LEMMA AND SCHONBEK S FOURIER SPLITTING DEVICE 267 DECAY
RATES FOR THE L 2 NORM 268 OPTIMAL DECAY RATE FOR THE I? NORM 272
CHAPTER 27: UNIQUENESS OF L D SOLUTIONS 277 THE UNIQUENESS PROBLEM 277
UNIQUENESS IN L D 279 THE CASE OF MORREY-CAMPANATO SPACES 285 CHAPTER
28: FURTHER RESULTS ON UNIQUENESS OF MILD SOLUTIONS 289 NONBOUNDEDNESS
OF THE BILINEAR OPERATOR B O N C([0, T], (L D ) D ) 289 UNIQUENESS IN
L(L D ) (D 4) 291 A UNIQUENESS RESULT IN B^ 293 CHAPTER 29:
STABILITY AND LYAPUNOV FUNCTIONAL 303 STABILITY IN LEBESGUE NORMS 303 A
NEW BERNSTEIN INEQUALITY 308 STABILITY AND BESOV NORMS 309 PART 6: LOCAL
ENERGY INEQUALITIES FOR THE NAVIER*STOKES EQUATIONS ON 1R 3 315 CHAPTER
30: THE CAFFAREHI, KOHN, AND NIRENBERG REGULARITY CRITERION 317 SUITABLE
SOLUTIONS 317 A FUNDAMENTAL INEQUALITY 322 THE REGULARITY CRITERION 324
CHAPTER 31: ON THE DIMENSION OF THE SET OF SINGULAR POINTS 331 SINGULAR
TIMES 331 HAUSDORFF DIMENSION OF THE SET OF SINGULARITIES FOR A SUITABLE
SOLUTION . 332 THE SECOND REGULARITY CRITERION OF CAFFAREILI, KOHN, AND
NIRENBERG 334 IX CHAPTER 32: LOCAL EXISTENCE (IN TIME) OF SUITABLE LOCAL
SQUARE-INTEGRABLE WEAK SOLUTIONS 341 SIZE ESTIMATES FOR W * 342 LOCAL
EXISTENCE OF SOLUTIONS 346 DECAY ESTIMATES FOR SUITABLE SOLUTIONS 348
CHAPTER 33: GLOBAL EXISTENCE OF SUITABLE LOCAL SQUARE-INTEGRABLE WEAK
SOLUTIONS 353 REGULARITY OF UNIFORMLY LOCALLY L 2 SUITABLE SOLUTIONS 353
A GENERALIZED VON WAHL UNIQUENESS THEOREM 354 GLOBAL EXISTENCE OF
UNIFORMLY LOCALLY L 2 SUITABLE SOLUTIONS 360 CHAPTER 34: LERAY S
CONJECTURE ON SELF-SIMILAR SINGULARITIES 363 HOPF S STRONG MAXIMUM
PRINCIPLE 363 THE CO SELF-SIMILAR LERAY SOLUTIONS ARE EQUAL TO 0 364 THE
CASE OF LOCAL CONTROL 367 CONCLUSION 373 CHAPTER 35: SINGULAR INITIAL
VALUES 375 ALLOWED INITIAL VALUES 375 MAXIMAL REGULARITY AND CRITICAL
SPACES 376 MIXED INITIAL VALUES 377 REFERENCES 381 BIBLIOGRAPHY 383
AUTHOR INDEX 391 SUBJECT INDEX 393
|
| any_adam_object | 1 |
| author | Lemarié-Rieusset, Pierre Gilles |
| author_facet | Lemarié-Rieusset, Pierre Gilles |
| author_role | aut |
| author_sort | Lemarié-Rieusset, Pierre Gilles |
| author_variant | p g l r pgl pglr |
| building | Verbundindex |
| bvnumber | BV024500427 |
| classification_rvk | SK 540 |
| ctrlnum | (OCoLC)845485045 (DE-599)BVBBV024500427 |
| dewey-full | 515.353 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.353 |
| dewey-search | 515.353 |
| dewey-sort | 3515.353 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| edition | 1 |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01721nam a2200433 cb4500</leader><controlfield tag="001">BV024500427</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20120703 </controlfield><controlfield tag="007">t|</controlfield><controlfield tag="008">090924s2002 xx |||| 00||| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">1584882204</subfield><subfield code="9">1-584-88220-4</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)845485045</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV024500427</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rakwb</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-83</subfield><subfield code="a">DE-355</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">515.353</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 540</subfield><subfield code="0">(DE-625)143245:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">76D05</subfield><subfield code="2">msc</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">35Q30</subfield><subfield code="2">msc</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Lemarié-Rieusset, Pierre Gilles</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Recent developments in the Navier-Stokes problem</subfield><subfield code="c">P. G. Lemarié-Rieusset</subfield></datafield><datafield tag="250" ind1=" " ind2=" "><subfield code="a">1</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Boca Raton, Fla. <<[u.a.]>></subfield><subfield code="b">CRC</subfield><subfield code="c">2002</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">XII, 395 S.</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="1" ind2=" "><subfield code="a">Chapman & Hall CRC research notes in mathematics</subfield><subfield code="v">431</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Literaturverz. S. 383 - 390</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Harmonische Analyse</subfield><subfield code="0">(DE-588)4023453-8</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Navier-Stokes-Gleichung</subfield><subfield code="0">(DE-588)4041456-5</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Navier-Stokes-Gleichung</subfield><subfield code="0">(DE-588)4041456-5</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Harmonische Analyse</subfield><subfield code="0">(DE-588)4023453-8</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="8">1\p</subfield><subfield code="5">DE-604</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">Chapman & Hall CRC research notes in mathematics</subfield><subfield code="v">431</subfield><subfield code="w">(DE-604)BV012456897</subfield><subfield code="9">431</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">GBV Datenaustausch</subfield><subfield code="q">application/pdf</subfield><subfield code="u">http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018475184&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="883" ind1="1" ind2=" "><subfield code="8">1\p</subfield><subfield code="a">cgwrk</subfield><subfield code="d">20201028</subfield><subfield code="q">DE-101</subfield><subfield code="u">https://d-nb.info/provenance/plan#cgwrk</subfield></datafield><datafield tag="943" ind1="1" ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-018475184</subfield></datafield></record></collection> |
| id | DE-604.BV024500427 |
| illustrated | Not Illustrated |
| indexdate | 2024-12-20T13:56:47Z |
| institution | BVB |
| isbn | 1584882204 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-018475184 |
| oclc_num | 845485045 |
| open_access_boolean | |
| owner | DE-83 DE-355 DE-BY-UBR |
| owner_facet | DE-83 DE-355 DE-BY-UBR |
| physical | XII, 395 S. |
| publishDate | 2002 |
| publishDateSearch | 2002 |
| publishDateSort | 2002 |
| publisher | CRC |
| record_format | marc |
| series | Chapman & Hall CRC research notes in mathematics |
| series2 | Chapman & Hall CRC research notes in mathematics |
| spellingShingle | Lemarié-Rieusset, Pierre Gilles Recent developments in the Navier-Stokes problem Chapman & Hall CRC research notes in mathematics Harmonische Analyse (DE-588)4023453-8 gnd Navier-Stokes-Gleichung (DE-588)4041456-5 gnd |
| subject_GND | (DE-588)4023453-8 (DE-588)4041456-5 |
| title | Recent developments in the Navier-Stokes problem |
| title_auth | Recent developments in the Navier-Stokes problem |
| title_exact_search | Recent developments in the Navier-Stokes problem |
| title_full | Recent developments in the Navier-Stokes problem P. G. Lemarié-Rieusset |
| title_fullStr | Recent developments in the Navier-Stokes problem P. G. Lemarié-Rieusset |
| title_full_unstemmed | Recent developments in the Navier-Stokes problem P. G. Lemarié-Rieusset |
| title_short | Recent developments in the Navier-Stokes problem |
| title_sort | recent developments in the navier stokes problem |
| topic | Harmonische Analyse (DE-588)4023453-8 gnd Navier-Stokes-Gleichung (DE-588)4041456-5 gnd |
| topic_facet | Harmonische Analyse Navier-Stokes-Gleichung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018475184&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV012456897 |
| work_keys_str_mv | AT lemarierieussetpierregilles recentdevelopmentsinthenavierstokesproblem |