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Lie symmetry analysis of the Hopf functional-differential equation: Lie-Symmetrieanalyse der Hopf-Funktionaldifferentialgleichung - Softcover
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Masterarbeit aus dem Jahr 2015 im Fachbereich Ingenieurwissenschaften - Maschinenbau, Note: 1,0, Technische Universität Darmstadt (Fachbereich Maschinenbau, Fachgebiet für Strömungsdynamik, AG Turbulence theory and modelling), Sprache: Deutsch, Abstract: In this paper, we extend the classical Lie symmetry analysis from partial differential equations to integro-differential equations with functional derivatives. We continue the work of OBERLACK and WACŁAWCZYK (2006, Arch. Mech., 58, 597), (2013, J. Math. Phys., 54, 072901) where the extended Lie symmetry analysis is performed in the Fourier space. Here, we introduce a method to perform the extended Lie symmetry analysis in the physical space where we have to deal with the transformation of the integration variable in the appearing integral terms. The method is based on the transformation of the product y(x)dx appearing in the integral terms and applied to the functional formulation of the viscous Burgers equation. The extended Lie symmetry analysis furnishes all known symmetries of the viscous Burgers equation and is able to provide new symmetries associated with the Hopf formulation of the viscous Burgers equation. Hence, it can be employed as an important tool for applications in continuum mechanics.
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Lie symmetry analysis of the Hopf functional-differential equation
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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Masterarbeit aus dem Jahr 2015 im Fachbereich Ingenieurwissenschaften - Maschinenbau, Note: 1,0, Technische Universität Darmstadt (Fachbereich Maschinenbau, Fachgebiet für Strömungsdynamik, AG Turbulence theory and modelling), Sprache: Deutsch, Abstract: In this paper, we extend the classical Lie symmetry analysis from partial differential equations to integro-differential equations with functional derivatives. We continue the work of OBERLACK and WACLAWCZYK (2006, Arch. Mech., 58, 597), (2013, J. Math. Phys., 54, 072901) where the extended Lie symmetry analysis is performed in the Fourier space.Here, we introduce a method to perform the extended Lie symmetry analysis in the physical space where we have to deal with the transformation of the integration variable in the appearing integral terms. The method is based on the transformation of the product y(x)dx appearing in the integral terms and applied to the functional formulation of the viscous Burgers equation.The extended Lie symmetry analysis furnishes all known symmetries of the viscous Burgers equation and is able to provide new symmetries associated with the Hopf formulation of the viscous Burgers equation. Hence, it can be employed as an important tool for applications in continuum mechanics. 40 pp. Deutsch. Seller Inventory # 9783668058477
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Lie symmetry analysis of the Hopf functional-differential equation : Lie-Symmetrieanalyse der Hopf-Funktionaldifferentialgleichung
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Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - Masterarbeit aus dem Jahr 2015 im Fachbereich Ingenieurwissenschaften - Maschinenbau, Note: 1,0, Technische Universität Darmstadt (Fachbereich Maschinenbau, Fachgebiet für Strömungsdynamik, AG Turbulence theory and modelling), Sprache: Deutsch, Abstract: In this paper, we extend the classical Lie symmetry analysis from partial differential equations to integro-differential equations with functional derivatives. We continue the work of OBERLACK and WACLAWCZYK (2006, Arch. Mech., 58, 597), (2013, J. Math. Phys., 54, 072901) where the extended Lie symmetry analysis is performed in the Fourier space.Here, we introduce a method to perform the extended Lie symmetry analysis in the physical space where we have to deal with the transformation of the integration variable in the appearing integral terms. The method is based on the transformation of the product y(x)dx appearing in the integral terms and applied to the functional formulation of the viscous Burgers equation.The extended Lie symmetry analysis furnishes all known symmetries of the viscous Burgers equation and is able to provide new symmetries associated with the Hopf formulation of the viscous Burgers equation. Hence, it can be employed as an important tool for applications in continuum mechanics. Seller Inventory # 9783668058477
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Lie symmetry analysis of the Hopf functional-differential equation
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Lie symmetry analysis of the Hopf functional-differential equation: Lie-Symmetrieanalyse der Hopf-Funktionaldifferentialgleichung (German Edition)
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Lie symmetry analysis of the Hopf functional-differential equation
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GRIN Verlag, GRIN Verlag Okt 2015, 2015
ISBN 10: 3668058474
ISBN 13: 9783668058477
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Taschenbuch. Condition: Neu. Neuware -Masterarbeit aus dem Jahr 2015 im Fachbereich Ingenieurwissenschaften - Maschinenbau, Note: 1,0, Technische Universität Darmstadt (Fachbereich Maschinenbau, Fachgebiet für Strömungsdynamik, AG Turbulence theory and modelling), Sprache: Deutsch, Abstract: In this paper, we extend the classical Lie symmetry analysis from partial differential equations to integro-differential equations with functional derivatives. We continue the work of OBERLACK and WAC¿AWCZYK (2006, Arch. Mech., 58, 597), (2013, J. Math. Phys., 54, 072901) where the extended Lie symmetry analysis is performed in the Fourier space. Here, we introduce a method to perform the extended Lie symmetry analysis in the physical space where we have to deal with the transformation of the integration variable in the appearing integral terms. The method is based on the transformation of the product y(x)dx appearing in the integral terms and applied to the functional formulation of the viscous Burgers equation. The extended Lie symmetry analysis furnishes all known symmetries of the viscous Burgers equation and is able to provide new symmetries associated with the Hopf formulation of the viscous Burgers equation. Hence, it can be employed as an important tool for applications in continuum mechanics.Books on Demand GmbH, Überseering 33, 22297 Hamburg 40 pp. Deutsch. Seller Inventory # 9783668058477
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Lie symmetry analysis of the Hopf functional-differential equation | Lie-Symmetrieanalyse der Hopf-Funktionaldifferentialgleichung
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Taschenbuch. Condition: Neu. Lie symmetry analysis of the Hopf functional-differential equation | Lie-Symmetrieanalyse der Hopf-Funktionaldifferentialgleichung | Daniel Janocha | Taschenbuch | 40 S. | Deutsch | 2015 | GRIN Verlag | EAN 9783668058477 | Verantwortliche Person für die EU: BoD - Books on Demand, In de Tarpen 42, 22848 Norderstedt, info[at]bod[dot]de | Anbieter: preigu. Seller Inventory # 104173254
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