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20112026
most citedSharp well-posedness and ill-posedness of the Cauchy problem for the higher-order KdV

2 citations · 7 across the 12 of their papers we have counts for

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Showing 2020Show all

3 papers · 1 filter

math.AP2020

The Cauchy problem for the generalized KdV equation with rough data and random data

Wei Yan, Xiangqian Yan, Jinqiao Duan +1

In this paper, we consider the Cauchy problem for the generalized KdV equation with rough data and random data. Firstly, we prove that as $t\longrigh…

math.PR2020

Exponential mixing for the fractional Magneto-Hydrodynamic equations with degenerate stochastic forcing

Xuhui Peng, Jianhua Huang, Yan Zheng

We establish the existence, uniqueness and exponential attraction properties of an invariant measure for the MHD equations with degenerate stochastic forcing acting only in the mag…

math.PR2020

Ergodicity and exponential mixing of the real Ginzburg-Landau equation with a degenerate noiss

Xuhui Peng, Jianhua Huang, Rangrang Zhang

In this paper, we establish the existence, uniqueness and attraction properties of an invariant measure for the real Ginzburg-Landau equation in the presence of a degenerate stocha…