Large time behavior for the support of momentum density of the Holm–Staley b-family equation with weakly dissipative term

Publication date: June 2020Source: Nonlinear Analysis: Real World Applications, Volume 53Author(s): Lu Cao, Zaihong Jiang, Mingxuan ZhuAbstractIn this paper, we study the Holm–Staley b-family equation with weakly dissipative term. Firstly, we show the infinite propagation speed that if the initial datum u0(x) has a compact support, the corresponding solution u(x,t) does not have a compact x-support any longer in its lifespan. Then, we obtain the large time behavior of the support of momentum density with the initial data compact supported.

Source: Nonlinear Analysis: Real World Applications - December 8, 2019 Category: Research Source Type: research