Nonexistence of Global Solutions to the Initial Boundary Value Problem for the Singularly Perturbed Sixth-Order Boussinesq-Type Equation | Zendy

Changming Song | Zendy; Li Ji-Na | Zendy; Ran Gao | Zendy

Open Access

Nonexistence of Global Solutions to the Initial Boundary Value Problem for the Singularly Perturbed Sixth-Order Boussinesq-Type Equation

Author(s) -

Changming Song,

Li Ji-Na,

Ran Gao

Publication year - 2014

Publication title -

journal of applied mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.307

H-Index - 43

eISSN - 1687-0042

pISSN - 1110-757X

DOI - 10.1155/2014/928148

Subject(s) - mathematics , boundary value problem , mathematical analysis , surface tension , type (biology) , boussinesq approximation (buoyancy) , physics , mechanics , geology , thermodynamics , paleontology , convection , natural convection , rayleigh number

We are concerned with the singularly perturbed Boussinesq-type equation includingthe singularly perturbed sixth-order Boussinesq equation, which describes the bidirectionalpropagation of small amplitude and long capillary-gravity waves on the surface of shallow waterfor bond number (surface tension parameter) less than but very close to 1/3. The nonexistenceof global solution to the initial boundary value problem for the singularly perturbed Boussinesq-typeequation is discussed and two examples are given

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