Nonlinear Hydrodynamic Modeling: A Mathematical Introduction

Herausgegeben von Shirer, Hampton N.

• Broschiertes Buch

Produktbeschreibung

Modeling: A strategy for understanding.- A simple nonlinear model of convection.- From the equations of motion to spectral models.- Linear stability analysis.- Bifurcation analysis of stationary solutions.- Typical branching forms: Stationary solutions.- The expected branching solution: Preferred wavelengths.- Identifying crucial parameters with contact catastrophe theory.- Hierarchies of transitions: Secondary branching.- Alexander-Yorke Continuation: Numerically finding all the stationary solutions in a spectral model.- Typical branching forms: Periodic solutions.- The expected branching solution: Preferred wavelengths and orientations.- On computing the branching direction of bifurcating periodic solutions.- Bifurcation analysis of periodic solutions.- The transition to turbulence.- Diagnosing the structures of attractors.- to topological hydrodynamics.- Modeling and metamodeling.

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Produktdetails

• Lecture Notes in Physics .271
• Verlag: Springer / Springer Berlin Heidelberg / Springer, Berlin
• Artikelnr. des Verlages: 978-3-662-13643-0
• Softcover reprint of the original 1st ed. 1987
• Seitenzahl: 568
• Erscheinungstermin: 17. April 2014
• Englisch
• Abmessung: 244mm x 170mm x 31mm
• Gewicht: 952g
• ISBN-13: 9783662136430
• ISBN-10: 3662136430
• Artikelnr.: 40772404

Inhaltsangabe

Modeling: A strategy for understanding.- A simple nonlinear model of convection.- From the equations of motion to spectral models.- Linear stability analysis.- Bifurcation analysis of stationary solutions.- Typical branching forms: Stationary solutions.- The expected branching solution: Preferred wavelengths.- Identifying crucial parameters with contact catastrophe theory.- Hierarchies of transitions: Secondary branching.- Alexander-Yorke Continuation: Numerically finding all the stationary solutions in a spectral model.- Typical branching forms: Periodic solutions.- The expected branching solution: Preferred wavelengths and orientations.- On computing the branching direction of bifurcating periodic solutions.- Bifurcation analysis of periodic solutions.- The transition to turbulence.- Diagnosing the structures of attractors.- to topological hydrodynamics.- Modeling and metamodeling.