A class of large solutions to the 3D incompressible MHD and Euler equations with damping

Authors
Zhou, Yi Zhu, Yi
Citation
Zhou, Yi et Zhu, Yi, A class of large solutions to the 3D incompressible MHD and Euler equations with damping, Acta mathematica Sinica. English series (Print) , 34(1), 2018, pp. 63-78
Journal title
Acta mathematica Sinica. English series (Print) → ACNP
ISSN journal
14398516
Volume
34
Issue
1
Year of publication
2018
Pages
63 - 78
Database
ACNP
SICI code
Abstract
In this paper, we derive the global existence of smooth solutions of the 3D incompressible Euler equations with damping for a class of large initial data, whose Sobolev norms H s can be arbitrarily large for any s . 0. The approach is through studying the quantity representing the difference between the vorticity and velocity. And also, we construct a family of large solutions for MHD equations with damping.