8 papers
Nonlinear stability of explicit self-similar solutions for the timelike extremal hypersurfaces in R^{1+3}
Weiping Yan
This paper is devoted to the study of the singularity phenomenon of timelike extremal hypersurfaces in Minkowski spacetime . We find that there are two explicit l…
Asymptotic stability of explicite infinite energy blowup solutions for three dimensional incompressible Magnetohydrodynamics equations
Weiping Yan
This paper is denoted to the study of dynamical behavior near explicit finite time blowup solutions for three dimensional incompressible Magnetohydrodynamics (MHD) equations. More…
On the explicit blowup solutions for 3D incompressible Magnetohydrodynamics equations
Weiping Yan
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 incompres…
Two family of explicit blowup solutions for 3D incompressible Navier-Stokes equations
Weiping Yan
In this paper, we give two family of explicit blowup solution for D incompressible Navier-Stokes equations in $\RR^3$. Here one family of solutions admit the smooth initial data…
Dynamical behavior near explicit self-similar blow up solutions for the Born-Infeld equation
Weiping Yan
This paper studies the dynamical behavior near a new family of explicit self-similar solutions for the one dimensional Born-Infeld equation. This quasilinear scalar field equation…
Finite time blowup explicit solution for 3D incompressible Euler equations
Weiping Yan
This paper construct a family of explicit self-similar blowup axisymmetric solutions for the 3D incompressible Euler equations in R^3. Those singular solutions admit infinite energ…