Several Dynamical Properties for a Nonlinear Shallow Water Equation
A nonlinear third order dispersive shallow water equation including the Degasperis-Procesi model is investigated. The existence of weak solutions for the equation is proved in the space L1(R)∩BV (R) under certain assumptions. The Oleinik type estimate and L2N(R) (N is a natural number) estimate for...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2014-01-01
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| Series: | Mathematical Problems in Engineering |
| Online Access: | http://dx.doi.org/10.1155/2014/162472 |