scholarly journals The Cauchy problem for a generalized Novikov equation

2017 ◽  
Vol 37 (6) ◽  
pp. 3503-3519 ◽  
Author(s):  
Rudong Zheng ◽  
◽  
Zhaoyang Yin ◽  
Keyword(s):  
Cauchy Problem ◽  
The Cauchy Problem ◽  
Novikov Equation ◽  
A Generalized Novikov Equation

The Cauchy Problem on a Generalized Novikov Equation

2016 ◽  
Vol 41 (4) ◽  
pp. 1859-1877 ◽  
Author(s):  
Kunquan Li ◽  
Meijing Shan ◽  
Chongbin Xu ◽  
Zhengguang Guo
Keyword(s):  
Cauchy Problem ◽  
The Cauchy Problem ◽  
Novikov Equation ◽  
A Generalized Novikov Equation

A note on the Cauchy problem of the Novikov equation

2013 ◽  
Vol 92 (6) ◽  
pp. 1116-1137 ◽  
Author(s):  
Xinglong Wu ◽  
Zhaoyang Yin
Keyword(s):  
Cauchy Problem ◽  
The Cauchy Problem ◽  
Novikov Equation

The Cauchy problem for the Novikov equation

Nonlinearity ◽  
2012 ◽  
Vol 25 (2) ◽  
pp. 449-479 ◽  
Author(s):  
A Alexandrou Himonas ◽  
Curtis Holliman
Keyword(s):  
Cauchy Problem ◽  
The Cauchy Problem ◽  
Novikov Equation

scholarly journals Blow-Up Criteria for the Modified Novikov Equation

2014 ◽  
Vol 2014 ◽  
pp. 1-5
Author(s):  
Caochuan Ma ◽  
Wujun Lv
Keyword(s):  
Cauchy Problem ◽  
Initial Data ◽  
Finite Time ◽  
Blow Up ◽  
Solution Blowing ◽  
Blowing Up ◽  
The Cauchy Problem ◽  
Novikov Equation

We investigate the Cauchy problem for the modified Novikov equation. We establish blow-up criteria on the initial data to guarantee the corresponding solution blowing up in finite time.

scholarly journals On the Cauchy Problem for the Two-Component Novikov Equation

2013 ◽  
Vol 2013 ◽  
pp. 1-11 ◽  
Author(s):  
Yongsheng Mi ◽  
Chunlai Mu ◽  
Weian Tao
Keyword(s):  
Cauchy Problem ◽  
Initial Data ◽  
Transport Equation ◽  
Besov Spaces ◽  
Well Posedness ◽  
Two Component ◽  
The Cauchy Problem ◽  
Novikov Equation

We are concerned with the Cauchy problem of two-component Novikov equation, which was proposed by Geng and Xue (2009). We establish the local well-posedness in a range of the Besov spaces by using Littlewood-Paley decomposition and transport equation theory which is motivated by that in Danchin's cerebrated paper (2001). Moreover, with analytic initial data, we show that its solutions are analytic in both variables, globally in space and locally in time, which extend some results of Himonas (2003) to more general equations.

scholarly journals The Cauchy problem for the integrable Novikov equation

2012 ◽  
Vol 253 (1) ◽  
pp. 298-318 ◽  
Author(s):  
Wei Yan ◽  
Yongsheng Li ◽  
Yimin Zhang
Keyword(s):  
Cauchy Problem ◽  
The Cauchy Problem ◽  
Novikov Equation
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