Global conservative solutions of the Dullin-Gottwald-Holm equation (Q2472499)
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| Language | Label | Description | Also known as |
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| English | Global conservative solutions of the Dullin-Gottwald-Holm equation |
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Global conservative solutions of the Dullin-Gottwald-Holm equation (English)
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22 February 2008
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The author studies the possible development of singularities in finite time, in a model of shallow water introduced by Dullin, Gottwald and Holm (DGH). He adapts a previous technique of A. Bressan and P. Constantin initially deviced for the Camassa-Holm equation to the DGH model and proves the global existence of a solution with conserved (constant) energy.
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shallow water equations
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water waves
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Lax pair
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conservation law
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Dullin-Gottwald-Holm equation
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