Explicit finite-time blowup solutions for 3D incompressible MHD are constructed with infinite energy and shown to be asymptotically stable in a time-dependent shrinking domain.
On the explicit blowup solutions for 3D incompressible Magnetohydrodynamics equations
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
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.
fields
math.AP 1years
2019 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
Asymptotic stability of explicite infinite energy blowup solutions for three dimensional incompressible Magnetohydrodynamics equations
Explicit finite-time blowup solutions for 3D incompressible MHD are constructed with infinite energy and shown to be asymptotically stable in a time-dependent shrinking domain.