Nonexistence of Global Solutions to the Initial Boundary Value Problem for the Singularly Perturbed Sixth-Order Boussinesq-Type Equation
We are concerned with the singularly perturbed Boussinesq-type equation including the singularly perturbed sixth-order Boussinesq equation, which describes the bidirectional propagation of small amplitude and long capillary-gravity waves on the surface of shallow water for bond number (surface tensi...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2014/928148 |
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| Summary: | We are concerned with the singularly perturbed Boussinesq-type equation including
the singularly perturbed sixth-order Boussinesq equation, which describes the bidirectional
propagation of small amplitude and long capillary-gravity waves on the surface of shallow water
for bond number (surface tension parameter) less than but very close to 1/3. The nonexistence
of global solution to the initial boundary value problem for the singularly perturbed Boussinesq-type
equation is discussed and two examples are given. |
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| ISSN: | 1110-757X 1687-0042 |