Néel walls and regularity in thin film micromagnetics:
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
2002
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| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Leipzig, Univ., Diss., 2002. - Zsfassung in dt. Sprache |
| Beschreibung: | II, 72 S. |
Internformat
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Datensatz im Suchindex
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CONTENTS
1 INTRODUCTION 1
2 MATHEMATICAL FRAMEWORK FOR NEEL WALLS 6 '
2.1 DIMENSIONAL REDUCTION AND SCALING. 7
2.2 DERIVATION OF THE REDUCED STRAY FIELD OPERATOR . 9
2.3 A MODEL PROBLEM RELATED TO NEEL WALLS. 13
3 RELEVANT OPERATORS, MONOTONICITY, AND LOWER BOUNDS 16
3.1 EULER-LAGRANGE EQUATIONS OF NEEL WALL TYPE. 16
3.2 FOURIER REPRESENTATION AND ELLIPTICITY PROPERTIES. 19
3.3 KERNEL REPRESENTATION AND REARRANGEMENT. 22
3.4 LOWER BOUNDS FOR NEEL WALL PROFILES. 26
4 ELLIPTIC ESTIMATES AND INTEGRABILITY 28
4.1 BOUNDS FOR THE NONLINEARITY. 28
4.2 INVERSION OF THE OPERATOR CQ. 31
4.3 INTEGRABILITY OF NEEL WALL PROFILES. 33
5 LOGARITHMIC BOUNDS AND SINGULAR LIMITS 36
5.1
I?-BOUNDS AND LOGARITHMIC DECAY. 36
5.2 REVIEW AND EXTENSION OF ENERGY BOUNDS. 37
5.3 SINGULAR LIMITS AND THE UNIVERSAL PROFILE. 39
6 SOME HARMONIC ANALYSIS 43
6.1 COMMUTATORS OF THE STRAY FIELD OPERATOR . 43
6.2 A LEIBNIZ RULE FOR THE STRAY FIELD OPERATOR. 45
6.3 A SOBOLEV INEQUALITY. 49
7 DECAY BEYOND THE LOGARITHMIC TAIL 51
7.1 DECAY ESTIMATES FOR THE ENERGY AND FOR LARGE
X. 52
7.2 UNIFORM IF ^REGULARITY BEYOND THE CORE. 54
8 REDUCED THIN FILM MICROMAGNETICS 59
8.1 THE THIN FILM VARIATIONAL PRINCIPLE. 59
8.2 MAGNETOSTATIC ENERGY THROUGH POTENTIALS. 61
8.3 DUAL FORMULATION. 63
9 A REGULARITY RESULT 65
9.1 REGULARIZATION AND FUNCTIONAL CONVERGENCE. 65
9.2 HIGHER REGULARITY FOR THE TANGENTIAL GRADIENT. 66
9.3 IMPLICATIONS FOR THE MAGNETIC FIELD. 70
II
BIBLIOGRAFISCHE INFORMATIONEN
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| language | English |
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| spelling | Melcher, Christof Verfasser aut Néel walls and regularity in thin film micromagnetics vorgelegt von Christof Melcher 2002 II, 72 S. txt rdacontent n rdamedia nc rdacarrier Leipzig, Univ., Diss., 2002. - Zsfassung in dt. Sprache Hochschulschrift gtt Ferromagnetische Schicht (DE-588)4291507-7 gnd rswk-swf Mathematisches Modell (DE-588)4114528-8 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Ferromagnetische Schicht (DE-588)4291507-7 s Mathematisches Modell (DE-588)4114528-8 s DE-604 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009984287&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Melcher, Christof Néel walls and regularity in thin film micromagnetics Hochschulschrift gtt Ferromagnetische Schicht (DE-588)4291507-7 gnd Mathematisches Modell (DE-588)4114528-8 gnd |
| subject_GND | (DE-588)4291507-7 (DE-588)4114528-8 (DE-588)4113937-9 |
| title | Néel walls and regularity in thin film micromagnetics |
| title_auth | Néel walls and regularity in thin film micromagnetics |
| title_exact_search | Néel walls and regularity in thin film micromagnetics |
| title_full | Néel walls and regularity in thin film micromagnetics vorgelegt von Christof Melcher |
| title_fullStr | Néel walls and regularity in thin film micromagnetics vorgelegt von Christof Melcher |
| title_full_unstemmed | Néel walls and regularity in thin film micromagnetics vorgelegt von Christof Melcher |
| title_short | Néel walls and regularity in thin film micromagnetics |
| title_sort | neel walls and regularity in thin film micromagnetics |
| topic | Hochschulschrift gtt Ferromagnetische Schicht (DE-588)4291507-7 gnd Mathematisches Modell (DE-588)4114528-8 gnd |
| topic_facet | Hochschulschrift Ferromagnetische Schicht Mathematisches Modell |
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