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- W2955352902 abstract "This paper is denoted to the study of dynamical behavior near explicit finite time blowup solutions for three dimensional incompressible Magnetohydrodynamics (MHD) equations. More precisely, we find a family of explicit finite time blowup solutions admitted smooth initial data and infinite energy in whole space $mathbb{R}^3$. After that, we prove asymptotic stability of those explicit finite time blowup solutions for $3$D incompressible Magnetohydrodynamics equations in a smooth bounded domain with free surface $$ Omega_{t}:=Big{(t,x_1,x_2,x_3):0leq x_ileqsqrt{overline{T}^*-t},quad tin(0,overline{T}^*),quad i=1,2,3Big}, $$ where $overline{T}^*$ denotes the blowup time. This means we construct a family of textbf{stable} blowup solutions for $3$D incompressible Magnetohydrodynamics equations with smooth initial data in $Omega_t$." @default.
- W2955352902 created "2019-07-12" @default.
- W2955352902 creator A5056108551 @default.
- W2955352902 date "2019-07-01" @default.
- W2955352902 modified "2023-09-27" @default.
- W2955352902 title "Asymptotic stability of explicite infinite energy blowup solutions for three dimensional incompressible Magnetohydrodynamics equations" @default.
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