Breaking waves and persistence property for a two-component Camassa–Holm system
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DOI: 10.1016/j.jmaa.2016.08.035
Abstract: Abstract In this paper, we study a two-component Camassa–Holm system modeling shallow water waves moving over a linear shear flow. Some new blow-up results and a persistence property in weighted L p space are established. read more here.
Keywords: component camassa; camassa holm; holm system; persistence property ... See more keywords
Persistence property for some classes of monomial ideals of a polynomial ring
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DOI: 10.1142/s0219498817501055
Abstract: Let K be a field and R = K[x1,…,xn] be a polynomial ring in the variables x1,…,xn. In this paper, we introduce two classes of monomial ideals of R, which have the following properties: (i)The… read more here.
Keywords: classes monomial; persistence property; polynomial ring; property classes ... See more keywords
Blow-Up Criterion and Persistence Property to a Generalized Camassa-Holm Equation
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DOI: 10.3390/sym15020493
Abstract: In this paper, a generalized Camassa–Holm equation, which may be used to describe wave motion in the shallow water, is considered. Some dynamic properties are studied for the model. Firstly, a new blow-up criterion for… read more here.
Keywords: persistence property; equation; holm equation; blow criterion ... See more keywords