25 citations · 39 across the 16 of their papers we have counts for
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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…
Explicit singular minimal surface solutions for gravitational instantons
Weiping Yan
We construct a family of instanton metric obtained from new exact singular solutions for minimal surfaces by noticing the correspondence between minimal surfaces in the three dimes…