Cauchy problem for a higher-order boussinesq equation

Duruk, Nilay (2007) Cauchy problem for a higher-order boussinesq equation. [Thesis]

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Official URL: http://risc01.sabanciuniv.edu/record=b1164864 (Table of Contents)


In this thesis, we establish global well-posedness of the Cauchy problem for a particular higher-order Boussinesq equation. At the microscopic level this sixth order Boussinesq equation was derived in [11] for the longitudinal vibrations of a dense lattice, in which a unit length of the lattice contains a large number of lattice points. We take the initial data in the Sobolev space Hs with s > 1 2 . With smoothness assumptions on the nonlinear term, we establish local existence and uniqueness of the solution. Under further assumptions, we prove the global existence for s 1. Finally, we show continuous dependence of the solution on the initial data.

Item Type:Thesis
Uncontrolled Keywords:Higher-Order Boussinesq equation. -- Global existence. -- Cauchy problem. -- Generalized double dispersion equation. -- Yüksek mertebeden Boussinesq denklemi. -- Global varlık. -- Cauchy problemi. -- Genelleştirilmiş çift dağılma denklemi.
Subjects:Q Science > QA Mathematics
ID Code:8351
Deposited By:IC-Cataloging
Deposited On:16 Apr 2008 12:36
Last Modified:17 Feb 2015 15:56

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