Renormalization Group Methods in Applied Mathematical Problems: Decay of Solutions and Interface Problems - Softcover
Synopsis
This book presents applications of the methods known as renormalization group (RG) and scaling in the physics literature to applied mathematics problems after a brief review of the methodology. The first part involves an application to a class of nonlinear parabolic differential equations. First, RG methods are described for determining the key exponents related to the decay of solutions to these equations. The determination of decay exponents is viewed as an asymptotically self similar process that facilitates an RG approach. The methods are also extended to higher order in the small coefficient of the nonlinearity. Finally, the RG results are verified in some cases by rigorous proofs and other calculations. In the second part, the application of RG technique to systems of equations describing interface problems is presented. The temporal evaluation of an interface separating two phases is analyzed for large time. The standard sharp interface problem in the quasi-static limit is studied. The characteristic length of a self-similar system that is a time dependent length scale characterizing the pattern growth is calculated by implementing RG procedure.
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About the Author
Hüseyin Merdan received his Ph.D. from the University of Pittsburgh, USA in 2004. He is currently Associate Professor at TOBB University of Economics and Technology, Ankara, TURKEY.
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Renormalization Group Methods in Applied Mathematical Problems
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ISBN 10: 3845438274
ISBN 13: 9783845438276
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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This book presents applications of the methods known as renormalization group (RG) and scaling in the physics literature to applied mathematics problems after a brief review of the methodology. The first part involves an application to a class of nonlinear parabolic differential equations. First, RG methods are described for determining the key exponents related to the decay of solutions to these equations. The determination of decay exponents is viewed as an asymptotically self similar process that facilitates an RG approach. The methods are also extended to higher order in the small coefficient of the nonlinearity. Finally, the RG results are verified in some cases by rigorous proofs and other calculations. In the second part, the application of RG technique to systems of equations describing interface problems is presented. The temporal evaluation of an interface separating two phases is analyzed for large time. The standard sharp interface problem in the quasi-static limit is studied. The characteristic length of a self-similar system that is a time dependent length scale characterizing the pattern growth is calculated by implementing RG procedure. 72 pp. Englisch. Seller Inventory # 9783845438276
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Renormalization Group Methods in Applied Mathematical Problems
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Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Autor/Autorin: Merdan HueseyinHueseyin Merdan received his Ph.D. from the University of Pittsburgh, USA in 2004. He is currently Associate Professor at TOBB University of Economics and Technology, Ankara, TURKEY.This book presents applications of. Seller Inventory # 5482613
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Renormalization Group Methods in Applied Mathematical Problems
Published by
LAP LAMBERT Academic Publishing Aug 2011, 2011
ISBN 10: 3845438274
ISBN 13: 9783845438276
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Taschenbuch. Condition: Neu. This item is printed on demand - Print on Demand Titel. Neuware -This book presents applications of the methods known as renormalization group (RG) and scaling in the physics literature to applied mathematics problems after a brief review of the methodology. The first part involves an application to a class of nonlinear parabolic differential equations. First, RG methods are described for determining the key exponents related to the decay of solutions to these equations. The determination of decay exponents is viewed as an asymptotically self similar process that facilitates an RG approach. The methods are also extended to higher order in the small coefficient of the nonlinearity. Finally, the RG results are verified in some cases by rigorous proofs and other calculations. In the second part, the application of RG technique to systems of equations describing interface problems is presented. The temporal evaluation of an interface separating two phases is analyzed for large time. The standard sharp interface problem in the quasi-static limit is studied. The characteristic length of a self-similar system that is a time dependent length scale characterizing the pattern growth is calculated by implementing RG procedure.VDM Verlag, Dudweiler Landstraße 99, 66123 Saarbrücken 72 pp. Englisch. Seller Inventory # 9783845438276
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Renormalization Group Methods in Applied Mathematical Problems : Decay of Solutions and Interface Problems
Published by
LAP LAMBERT Academic Publishing, 2011
ISBN 10: 3845438274
ISBN 13: 9783845438276
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Taschenbuch. Condition: Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - This book presents applications of the methods known as renormalization group (RG) and scaling in the physics literature to applied mathematics problems after a brief review of the methodology. The first part involves an application to a class of nonlinear parabolic differential equations. First, RG methods are described for determining the key exponents related to the decay of solutions to these equations. The determination of decay exponents is viewed as an asymptotically self similar process that facilitates an RG approach. The methods are also extended to higher order in the small coefficient of the nonlinearity. Finally, the RG results are verified in some cases by rigorous proofs and other calculations. In the second part, the application of RG technique to systems of equations describing interface problems is presented. The temporal evaluation of an interface separating two phases is analyzed for large time. The standard sharp interface problem in the quasi-static limit is studied. The characteristic length of a self-similar system that is a time dependent length scale characterizing the pattern growth is calculated by implementing RG procedure. Seller Inventory # 9783845438276
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Renormalization Group Methods in Applied Mathematical Problems | Decay of Solutions and Interface Problems
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ISBN 13: 9783845438276
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Taschenbuch. Condition: Neu. Renormalization Group Methods in Applied Mathematical Problems | Decay of Solutions and Interface Problems | Hüseyin Merdan | Taschenbuch | 72 S. | Englisch | 2011 | LAP LAMBERT Academic Publishing | EAN 9783845438276 | Verantwortliche Person für die EU: preigu GmbH & Co. KG, Lengericher Landstr. 19, 49078 Osnabrück, mail[at]preigu[dot]de | Anbieter: preigu. Seller Inventory # 106818488
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Renormalization Group Methods in Applied Mathematical Problems: Decay of Solutions and Interface Problems
Published by
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ISBN 13: 9783845438276
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