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Zbl 0923.76025
Constantin, Adrian; Escher, Joachim
Wave breaking for nonlinear nonlocal shallow water equations. (English)
[J] Acta Math. 181, No.2, 229-243 (1998). ISSN 0001-5962; ISSN 1871-2509/e

The authors continue their analysis published in [Math. Ann. 312, No. 3, 403-416 (1998), see the preceding review; Zbl 0923.76012]. Namely, they study the occurrence of a singularity and its nature in the wave motion by using the nonlinear nonlocal shallow water theory (blow-up phenomenon). The aim is to avoid some additional assumptions made by previous authors who studied the problem. The construction is based on theorem 2.1 which is applied to different forms of shallow water equations.
[V.Ionescu (Bucureşti)]

MSC 2000:: *76B15 Wave motions (fluid mechanics)
35Q53 KdV-like equations
35Q35 Other equations arising in fluid mechanics

Keywords: blow-up phenomenon; singularity

Citations: Zbl 0923.76012

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