Holdings: Néel walls and regularity in thin film micromagnetics

Néel walls and regularity in thin film micromagnetics:

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Bibliographic Details
Main Author:	Melcher, Christof (Author)
Format:	Book
Language:	English
Published:	2002
Subjects:	Hochschulschrift Ferromagnetische Schicht Mathematisches Modell
Online Access:	Inhaltsverzeichnis
Item Description:	Leipzig, Univ., Diss., 2002. - Zsfassung in dt. Sprache
Physical Description:	II, 72 S.

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MARC


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adam_text	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 HTTP://D-NB.INFO/965095886
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indexdate	2024-10-09T18:03:55Z
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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
url	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
work_keys_str_mv	AT melcherchristof neelwallsandregularityinthinfilmmicromagnetics

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