Transport Equations and Multi-D Hyperbolic Conservation Laws:
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Berlin, Heidelberg
Springer-Verlag Berlin Heidelberg
2008
|
| Series: | Lecture notes of the Unione Matematica Italiana
5 |
| Subjects: | |
| Online Access: | BTU01 TUM01 UBA01 UBT01 UER01 UPA01 Volltext Inhaltsverzeichnis |
| Physical Description: | 1 Online-Ressource |
| ISBN: | 9783540767817 |
| DOI: | 10.1007/978-3-540-76781-7 |
Staff View
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Record in the Search Index
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| adam_text | CONTENTS PARTI EXISTENCE, UNIQUENESS, STABILITY AND DIFFERENTIABILITY
PROPERTIES OF THE FLOW ASSOCIATED TO WEAKLY DIFFERENTIABLE VECTOR FIELDS
3 LUIGI AMBROSIO AND GIANLUCA CRIPPA 1 INTRODUCTION 3 2 THE CONTINUITY
EQUATION 5 3 THE CONTINUITY EQUATION WITHIN THE CAUCHY-LIPSCHITZ
FRAMEWORK 7 4 (ODE) UNIQUENESS VS. (PDE) UNIQUENESS 11 5 THE FLOW
ASSOCIATED TO SOBOLEV OR BV VECTOR FIELDS 19 6 MEASURE-THEORETIC
DIFFERENTIALS 32 7 DIFFERENTIABILITY OF THE FLOW IN THE W L 1 CASE 38
8 DIFFERENTIABILITY AND COMPACTNESS OF THE FLOW IN THE W LP CASE 40 9
BIBLIOGRAPHICAL NOTES AND OPEN PROBLEMS 52 REFERENCES 54 PARTLL A NOTE
ON ALBERTI S RANK-ONE THEOREM 61 CAMILLO DE LELLIS 1 INTRODUCTION 61 2
DIMENSIONAL REDUCTION 63 3 A BLOW-UP ARGUMENT LEADING TO A PARTIAL
RESULT 65 4 THE FUNDAMENTAL LEMMA 66 5 PROOF OF THEOREM 1.1 IN THE
PLANAR CASE 68 REFERENCES 74 GESCANNT DURCH BIBLIOGRAFISCHE
INFORMATIONEN HTTP://D-NB.INFO/987389114 DIGITALISIERT DURCH EXISTENCE,
UNIQUENESS, STABILITY AND DIFFERENTIABILITY PROPERTIES OF THE FLOW
ASSOCIATED TO WEAKLY DIFFERENTIABLE VECTOR FIELDS LUIGI AMBROSIO AND
GIANLUCA CRIPPA SCUOLA NORMALE SUPERIORE, PIAZZA DEI CAVALIERI 7, 56126
PISA, ITALY E-MAIL: L.AMBROSIO@SNS.IT, G.CRIPPA@SNS.IT URL:
HTTP://CVGMT.SNS.IT/PEOPLE/AMBROSIO/ 1 INTRODUCTION 3 2 THE CONTINUITY
EQUATION 5 3 THE CONTINUITY EQUATION WITHIN THE CAUCHY*LIPSCHITZ
FRAMEWORK 7 4 (ODE) UNIQUENESS VS. (PDE) UNIQUENESS 11 5 THE FLOW
ASSOCIATED TO SOBOLEV OR BV VECTOR FIELDS 19 6 MEASURE-THEORETIC
DIFFERENTIALS 32 7 DIFFERENTIABILITY OF THE FLOW IN THE W M CASE 38 8
DIFFERENTIABILITY AND COMPACTNESS OF THE FLOW IN THE W L * CASE 40 9
BIBLIOGRAPHICAL NOTES AND OPEN PROBLEMS 52 REFERENCES 54 REFERENCES 74 A
NOTE ON ALBERTI S RANK-ONE THEOREM CAMILLO DE LELLIS INSTITUT
FURMATHEMATIK, UNIVERSITAT ZURICH, WINTERTHURERSTRASSE 190, CH-8057
ZURICH, SWITZERLAND E-MAIL: DELELLIS@MATH.UNIZH.CH URL:
HTTP://WWW.MATH.UNIZH.CH/ 1 INTRODUCTION 61 2 DIMENSIONAL REDUCTION 63 3
A BLOW-UP ARGUMENT LEADING TO A PARTIAL RESULT 65 4 THE FUNDAMENTAL
LEMMA 66 5 PROOF OF THEOREM 1.1 IN THE PLANARCASE 68 77 REGULARIZING
EFFECT OF NONLINEARITY IN MULTIDIMENSIONAL SCALAR CONSERVATION LAWS
GIANLUCA CRIPPA 1 , FELIX OTTO 2 , AND MICHAEL WESTDICKENBERG 3 SCUOLA
NORMALE SUPERIORE, PIAZZA DEI CAVALIERI 7,1-56126 PISA, ITALY E-MAIL:
G.CRIPPA@SNS.IT 2 INSTIRUT FUR ANGEWANDTE MATHEMATIK, UNIVERSITAT BONN,
WEGELERSTRABE 10, D-53115 BONN, GERMANY E-MAIL: OTTO@IAM.UNI-BONN.DE 3
SCHOOL OF MATHEMATICS, GEORGIA INSTITUTE OF TECHNOLOGY, 686 CHERRY
STREET, ATLANTA, GEORGIA 30332-0160, U.S.A. E-MAIL:
MWEST@MATH.GATECH.EDU URL: HTTP://WWW.MATHPHYS.IAM.UNIBONN.DE/~OTTO/
URL: HTTP://WWW.MATH.GATECH.EDU/~MWEST/ 1 INTRODUCTION 77 2 BACKGROUND
MATERIAL 79 3 ENTROPY SOLUTIONS WITH BV-REGULARIRY 84 4 STRUCTURE OF
ENTROPY SOLUTIONS 87 5 KINETIC FORMULATION, BLOW-UPS AND SPLIT STATES 91
6 CLASSIFICATION OF SPLIT STATES 98 6.1 SPECIAL SPLIT STATES: NO ENTROPY
DISSIPATION 98 6.2 SPECIAL SPLIT STATES: V SUPPORTED ON A HYPERPLANE 101
6.3 SPECIAL SPLIT STATES: V SUPPORTED ON HAIFA HYPERPLANE 103 6.4
CLASSIFICATION OF GENERAL SPLIT STATES 105 7 PROOF OF THE MAIN THEOREM
106 8 PROOFS OF THE REGULARITY THEOREMS 112 REFERENCES 127
|
| any_adam_object | 1 |
| author | Ambrosio, Luigi 1963- |
| author_GND | (DE-588)133791408 (DE-588)1044329165 (DE-588)135534305 (DE-588)122562321 |
| author_facet | Ambrosio, Luigi 1963- |
| author_role | aut |
| author_sort | Ambrosio, Luigi 1963- |
| author_variant | l a la |
| building | Verbundindex |
| bvnumber | BV036492402 |
| classification_tum | MAT 000 |
| collection | ZDB-2-SMA |
| ctrlnum | (OCoLC)1184394301 (DE-599)BVBBV036492402 |
| dewey-full | 515.3535 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.3535 |
| dewey-search | 515.3535 |
| dewey-sort | 3515.3535 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-3-540-76781-7 |
| format | Electronic eBook |
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| indexdate | 2024-07-09T22:41:34Z |
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| isbn | 9783540767817 |
| language | English |
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| spelling | Ambrosio, Luigi 1963- Verfasser (DE-588)133791408 aut Transport Equations and Multi-D Hyperbolic Conservation Laws by Luigi Ambrosio, Gianluca Crippa, Camillo Lellis, Felix Otto, Michael Westdickenberg Berlin, Heidelberg Springer-Verlag Berlin Heidelberg 2008 1 Online-Ressource txt rdacontent c rdamedia cr rdacarrier Lecture notes of the Unione Matematica Italiana 5 Mathematik Calculus of Variations and Optimal Control; Optimization Differential Equations Mathematics Measure and Integration Ordinary Differential Equations Partial Differential Equations Differential equations, partial Mathematical optimization Geometrische Maßtheorie (DE-588)4125258-5 gnd rswk-swf Nichtlineare hyperbolische Differentialgleichung (DE-588)4228136-2 gnd rswk-swf 1\p (DE-588)1071861417 Konferenzschrift 2005 Bologna gnd-content Nichtlineare hyperbolische Differentialgleichung (DE-588)4228136-2 s Geometrische Maßtheorie (DE-588)4125258-5 s 2\p DE-604 Crippa, Gianluca Sonstige oth Westdickenberg, Michael 1972- Sonstige (DE-588)1044329165 oth Otto, Felix 1966- Sonstige (DE-588)135534305 oth De Lellis, Camillo 1976- Sonstige (DE-588)122562321 oth Lecture notes of the Unione Matematica Italiana 5 (DE-604)BV035421262 5 https://doi.org/10.1007/978-3-540-76781-7 Verlag Volltext DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020414991&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Ambrosio, Luigi 1963- Transport Equations and Multi-D Hyperbolic Conservation Laws Lecture notes of the Unione Matematica Italiana Mathematik Calculus of Variations and Optimal Control; Optimization Differential Equations Mathematics Measure and Integration Ordinary Differential Equations Partial Differential Equations Differential equations, partial Mathematical optimization Geometrische Maßtheorie (DE-588)4125258-5 gnd Nichtlineare hyperbolische Differentialgleichung (DE-588)4228136-2 gnd |
| subject_GND | (DE-588)4125258-5 (DE-588)4228136-2 (DE-588)1071861417 |
| title | Transport Equations and Multi-D Hyperbolic Conservation Laws |
| title_auth | Transport Equations and Multi-D Hyperbolic Conservation Laws |
| title_exact_search | Transport Equations and Multi-D Hyperbolic Conservation Laws |
| title_full | Transport Equations and Multi-D Hyperbolic Conservation Laws by Luigi Ambrosio, Gianluca Crippa, Camillo Lellis, Felix Otto, Michael Westdickenberg |
| title_fullStr | Transport Equations and Multi-D Hyperbolic Conservation Laws by Luigi Ambrosio, Gianluca Crippa, Camillo Lellis, Felix Otto, Michael Westdickenberg |
| title_full_unstemmed | Transport Equations and Multi-D Hyperbolic Conservation Laws by Luigi Ambrosio, Gianluca Crippa, Camillo Lellis, Felix Otto, Michael Westdickenberg |
| title_short | Transport Equations and Multi-D Hyperbolic Conservation Laws |
| title_sort | transport equations and multi d hyperbolic conservation laws |
| topic | Mathematik Calculus of Variations and Optimal Control; Optimization Differential Equations Mathematics Measure and Integration Ordinary Differential Equations Partial Differential Equations Differential equations, partial Mathematical optimization Geometrische Maßtheorie (DE-588)4125258-5 gnd Nichtlineare hyperbolische Differentialgleichung (DE-588)4228136-2 gnd |
| topic_facet | Mathematik Calculus of Variations and Optimal Control; Optimization Differential Equations Mathematics Measure and Integration Ordinary Differential Equations Partial Differential Equations Differential equations, partial Mathematical optimization Geometrische Maßtheorie Nichtlineare hyperbolische Differentialgleichung Konferenzschrift 2005 Bologna |
| url | https://doi.org/10.1007/978-3-540-76781-7 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020414991&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV035421262 |
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