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Nonlinear Hydrodynamic Modeling: A Mathematical Introduction de Hampton N. Shirer

Nonlinear Hydrodynamic Modeling: A Mathematical Introduction: Lecture Notes in Physics, cartea 271

Editat de Hampton N. Shirer
en Limba Engleză Paperback – 17 apr 2014

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Specificații

ISBN-13: 9783662136430
ISBN-10: 3662136430
Pagini: 568
Ilustrații: XVI, 548 p. 21 illus.
Dimensiuni: 170 x 244 x 30 mm
Greutate: 0.89 kg
Ediția:Softcover reprint of the original 1st ed. 1987
Editura: Springer Berlin, Heidelberg
Colecția Springer
Seria Lecture Notes in Physics

Locul publicării:Berlin, Heidelberg, Germany

Public țintă

Graduate

Cuprins

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.