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Global well-posedness for the Cauchy problem of the viscous Degasperis–Procesi equation

✍ Scribed by Xiaolian Ai; Guilong Gui


Book ID
108178526
Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
182 KB
Volume
361
Category
Article
ISSN
0022-247X

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Global well-posedness of the Cauchy prob
✍ Yi Du; Hua Qiu; Zhengan-Yao 📂 Article 📅 2010 🏛 John Wiley and Sons 🌐 English ⚖ 247 KB

This paper is devoted to study the Cauchy problem for certain incompressible magnetohydrodynamics-a model. In the Sobolev space with fractional index s>1, we proved the local solutions for any initial data, and global solutions for small initial data. Furthermore, we also prove that as a → 0, the MH