Spectral Properties and Stability of Self-Similar Wave Maps: Linear Stability of Co-rotational Solutions - Couverture souple

Donninger, Roland

9783838101873: Spectral Properties and Stability of Self-Similar Wave Maps: Linear Stability of Co-rotational Solutions

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ISBN 10 : 3838101871 ISBN 13 : 9783838101873

Editeur : S�dwestdeutscher Verlag, 2009

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�diteur: S�dwestdeutscher Verlag
Date d'�dition: 2009
Langue: anglais
ISBN 10: 3838101871
ISBN 13: 9783838101873
Reliure: Broch�
Nombre de pages: 148
Coordonn�es du fabricant: non disponible
Personne responsable: non disponible

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Spectral Properties and Stability of Self-Similar Wave Maps

Roland Donninger

Edit� par S�dwestdeutscher Verlag F�r Hochschulschriften Feb 2009, 2009

ISBN 10 : 3838101871 ISBN 13 : 9783838101873

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Vendeur : BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Allemagne

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Taschenbuch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -In this thesis the Cauchy problem and in particular the question of singularity formation for co-rotational wave maps from Minkowski space to the three-sphere is studied. Numerics indicate that self-similar solutions play a crucial role in dynamical time evolution. In particular, it is conjectured that a certain solution f defines a universal blow up pattern in the sense that the future development of a large set of generic blow up initial data approaches f. Thus, singularity formation is closely related to stability properties of self-similar solutions. In this work, the problem of linear stability is studied by functional analytic methods. In particular, a complete spectral analysis of the perturbation operators is given and well-posedness of the linearized Cauchy problem is proved by means of semigroup theory and, alternatively, the functional calculus for self-adjoint operators. These results lead to growth estimates which provide information on the stability of self-similar wave maps. The thesis is intended to be self-contained, i.e. all the mathematical requirements are carefully introduced, including proofs for many results which could be found elsewhere. 148 pp. Deutsch. N� de r�f. du vendeur 9783838101873

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Spectral Properties and Stability of Self-SimilarWave Maps

Donninger, Roland

Edit� par S�dwestdeutscher Verlag f�r Hochschulschriften, 2009

ISBN 10 : 3838101871 ISBN 13 : 9783838101873

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Etat : New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. In this thesis the Cauchy problem and in particular the question of singularity formation for co-rotational wave maps from Minkowski space to the three-sphere is studied. Numerics indicate that self-similar solutions play a crucial role in dynamical time ev. N� de r�f. du vendeur 5404584

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Spectral Properties and Stability of Self-Similar Wave Maps

Roland Donninger

Edit� par S�dwestdeutscher Verlag F�r Hochschulschriften Feb 2009, 2009

ISBN 10 : 3838101871 ISBN 13 : 9783838101873

Neuf Taschenbuch

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Vendeur : buchversandmimpf2000, Emtmannsberg, BAYE, Allemagne

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Taschenbuch. Etat : Neu. This item is printed on demand - Print on Demand Titel. Neuware -In this thesis the Cauchy problem and in particular the question of singularity formation for co-rotational wave maps from Minkowski space to the three-sphere is studied. Numerics indicate that self-similar solutions play a crucial role in dynamical time evolution. In particular, it is conjectured that a certain solution f defines a universal blow up pattern in the sense that the future development of a large set of generic blow up initial data approaches f. Thus, singularity formation is closely related to stability properties of self-similar solutions. In this work, the problem of linear stability is studied by functional analytic methods. In particular, a complete spectral analysis of the perturbation operators is given and well-posedness of the linearized Cauchy problem is proved by means of semigroup theory and, alternatively, the functional calculus for self-adjoint operators. These results lead to growth estimates which provide information on the stability of self-similar wave maps. The thesis is intended to be self-contained, i.e. all the mathematical requirements are carefully introduced, including proofs for many results which could be found elsewhere.VDM Verlag, Dudweiler Landstra�e 99, 66123 Saarbr�cken 148 pp. Deutsch. N� de r�f. du vendeur 9783838101873

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Spectral Properties and Stability of Self-Similar Wave Maps : Linear Stability of Co-rotational Solutions

Roland Donninger

Edit� par S�dwestdeutscher Verlag F�r Hochschulschriften

ISBN 10 : 3838101871 ISBN 13 : 9783838101873

Neuf Taschenbuch

impression � la demande

Vendeur : AHA-BUCH GmbH, Einbeck, Allemagne

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Taschenbuch. Etat : Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - In this thesis the Cauchy problem and in particular the question of singularity formation for co-rotational wave maps from Minkowski space to the three-sphere is studied. Numerics indicate that self-similar solutions play a crucial role in dynamical time evolution. In particular, it is conjectured that a certain solution f defines a universal blow up pattern in the sense that the future development of a large set of generic blow up initial data approaches f. Thus, singularity formation is closely related to stability properties of self-similar solutions. In this work, the problem of linear stability is studied by functional analytic methods. In particular, a complete spectral analysis of the perturbation operators is given and well-posedness of the linearized Cauchy problem is proved by means of semigroup theory and, alternatively, the functional calculus for self-adjoint operators. These results lead to growth estimates which provide information on the stability of self-similar wave maps. The thesis is intended to be self-contained, i.e. all the mathematical requirements are carefully introduced, including proofs for many results which could be found elsewhere. N� de r�f. du vendeur 9783838101873

Contacter le vendeur