On the explicit blowup solutions for 3D incompressible Magnetohydrodynamics equations
Analysis of PDEs
2018-07-20 v1
Abstract
This paper concerns with the explicit blowup phenomenon for 3D incompressible MHD equations in R^3. More precisely, we find two family of explicit blowup solutions for 3D incompressible MHD equations in R^3. One family of solutions admit the smooth initial data, and the initial data of another family of solutions are not smooth. The energy of those solutions is infinite. Moreover, our results tell us that the blowup phenomenon of 3D incompressible MHD can only take place in the velocity field of the fluid, but no blowup for the magnetic field.
Keywords
Cite
@article{arxiv.1807.07063,
title = {On the explicit blowup solutions for 3D incompressible Magnetohydrodynamics equations},
author = {Weiping Yan},
journal= {arXiv preprint arXiv:1807.07063},
year = {2018}
}
Comments
14 pages. arXiv admin note: text overlap with arXiv:1807.05425