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Recovering Memory Kernels in Heat Flow: Inverse Problems for Non-Homogeneous Degenerate Memory Kernels - Brossura
Sinossi
Materials with memory enable to model the propagation of heat by finite speed. Models with memory are also used in phase transition problems and thermoelasticity. In the present book inverse problems to determine kernels of heat flux and internal energy in the one- dimensional non-homogeneous heat flow are studied. We consider the case when these kernels are degenerate, i.e. representable as sums of the known space-dependent functions times the unknown time- dependent coefficients. We proved existence and uniqueness of two problems of such kind. The first one is a problem with purely temperature observations. Then the kernel of internal energy is determined with higher smoothness than the kernel of heat flux. The second one is te problem with purely flux observations. Then the kernels of internal energy and heat flux are determined with the same level of accuracy. Moreover, it has been shown that the homogeneous inverse problem with flux observations is severely il-posed. The method involves application of the Laplace transform and reduction of the transformed problem to a fixed-point form.
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L'autore
Enno Pais,Dr.,Professor of mathematics at Tallinn University of Technology, Estonia.
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Recovering Memory Kernels in Heat Flow
Editore:
LAP LAMBERT Academic Publishing Mai 2010, 2010
ISBN 10: 3838305043
ISBN 13: 9783838305042
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Da: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Germania
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Taschenbuch. Condizione: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Materials with memory enable to model the propagation of heat by finite speed. Models with memory are also used in phase transition problems and thermoelasticity. In the present book inverse problems to determine kernels of heat flux and internal energy in the one- dimensional non-homogeneous heat flow are studied. We consider the case when these kernels are degenerate, i.e. representable as sums of the known space-dependent functions times the unknown time- dependent coefficients. We proved existence and uniqueness of two problems of such kind. The first one is a problem with purely temperature observations. Then the kernel of internal energy is determined with higher smoothness than the kernel of heat flux. The second one is te problem with purely flux observations. Then the kernels of internal energy and heat flux are determined with the same level of accuracy. Moreover, it has been shown that the homogeneous inverse problem with flux observations is severely il-posed. The method involves application of the Laplace transform and reduction of the transformed problem to a fixed-point form. 84 pp. Englisch. Codice articolo 9783838305042
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Recovering Memory Kernels in Heat Flow : Inverse Problems for Non-Homogeneous Degenerate Memory Kernels
Editore:
LAP LAMBERT Academic Publishing, 2010
ISBN 10: 3838305043
ISBN 13: 9783838305042
Nuovo
Taschenbuch
Da: AHA-BUCH GmbH, Einbeck, Germania
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Taschenbuch. Condizione: Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - Materials with memory enable to model the propagation of heat by finite speed. Models with memory are also used in phase transition problems and thermoelasticity. In the present book inverse problems to determine kernels of heat flux and internal energy in the one- dimensional non-homogeneous heat flow are studied. We consider the case when these kernels are degenerate, i.e. representable as sums of the known space-dependent functions times the unknown time- dependent coefficients. We proved existence and uniqueness of two problems of such kind. The first one is a problem with purely temperature observations. Then the kernel of internal energy is determined with higher smoothness than the kernel of heat flux. The second one is te problem with purely flux observations. Then the kernels of internal energy and heat flux are determined with the same level of accuracy. Moreover, it has been shown that the homogeneous inverse problem with flux observations is severely il-posed. The method involves application of the Laplace transform and reduction of the transformed problem to a fixed-point form. Codice articolo 9783838305042
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Recovering Memory Kernels in Heat Flow
Editore:
LAP LAMBERT Academic Publishing, 2010
ISBN 10: 3838305043
ISBN 13: 9783838305042
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Brossura
Da: moluna, Greven, Germania
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Condizione: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Autor/Autorin: Pais EnnoEnno Pais,Dr.,Professor of mathematics at Tallinn University of Technology, Estonia.Materials with memory enable to model the propagation of heat by finite speed. Models with memory are also used in phase transition prob. Codice articolo 5411231
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Recovering Memory Kernels in Heat Flow
Editore:
LAP LAMBERT Academic Publishing Mai 2010, 2010
ISBN 10: 3838305043
ISBN 13: 9783838305042
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Taschenbuch
Da: buchversandmimpf2000, Emtmannsberg, BAYE, Germania
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Taschenbuch. Condizione: Neu. This item is printed on demand - Print on Demand Titel. Neuware -Materials with memory enable to model the propagation of heat by finite speed. Models with memory are also used in phase transition problems and thermoelasticity. In the present book inverse problems to determine kernels of heat flux and internal energy in the one- dimensional non-homogeneous heat flow are studied. We consider the case when these kernels are degenerate, i.e. representable as sums of the known space-dependent functions times the unknown time- dependent coefficients. We proved existence and uniqueness of two problems of such kind. The first one is a problem with purely temperature observations. Then the kernel of internal energy is determined with higher smoothness than the kernel of heat flux. The second one is te problem with purely flux observations. Then the kernels of internal energy and heat flux are determined with the same level of accuracy. Moreover, it has been shown that the homogeneous inverse problem with flux observations is severely il-posed. The method involves application of the Laplace transform and reduction of the transformed problem to a fixed-point form.VDM Verlag, Dudweiler Landstraße 99, 66123 Saarbrücken 84 pp. Englisch. Codice articolo 9783838305042
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Recovering Memory Kernels in Heat Flow | Inverse Problems for Non-Homogeneous Degenerate Memory Kernels
Editore:
LAP LAMBERT Academic Publishing, 2010
ISBN 10: 3838305043
ISBN 13: 9783838305042
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Da: preigu, Osnabrück, Germania
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Taschenbuch. Condizione: Neu. Recovering Memory Kernels in Heat Flow | Inverse Problems for Non-Homogeneous Degenerate Memory Kernels | Enno Pais (u. a.) | Taschenbuch | 84 S. | Englisch | 2010 | LAP LAMBERT Academic Publishing | EAN 9783838305042 | Verantwortliche Person für die EU: preigu GmbH & Co. KG, Lengericher Landstr. 19, 49078 Osnabrück, mail[at]preigu[dot]de | Anbieter: preigu. Codice articolo 101515158
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