25 citations · 39 across the 16 of their papers we have counts for
16 papers
Global stability dynamics of the timelike extremal hypersurfaces in Minkowski space
Weiping Yan, Weijia Li
This paper aims to study the relationship between the timelike extremal hypersurfaces and the classical minimal surfaces. This target also gives the long time dynamics of timelike…
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…
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…
Explicit self-similiar singularity of Born-Infeld equation, space-like surfaces with vanishing mean curvature equation and membrane equation
Weiping Yan
This paper studies the self-similar singularity phenomenon of zero mean curvature equation including Born-Infeld equation, space-like surfaces with vanishing mean curvature equatio…
Explicit self-similar solutions of time-like extremal hypersurfaces in
Weiping Yan
In this letter, two explicit self-similar solutions to a graph representation of time-like extremal hypersurfaces in Minkowski spacetime are given. Meanwhile, th…
The Motion of closed hypersurfaces in the central force fields
Weiping Yan
This paper studies the large time existence for the motion of closed hypersurfaces in a radially symmetric potential. In physical, this surface can be considered as an electrically…
Lifespan of Solutions to Wave Equations on de Sitter Spacetime
Weiping Yan
In this paper, we consider the finite time blow up of solutions for the following two kinds of nonlinear wave equations on de Sitter spacetime \begin{eqnarray*} &&\square_g=F(u),\\…
Long time existence for the bosonic membrane in the light cone gauge
Weiping Yan, Binlin Zhang
This paper mainly aims to establish the well-posedness on time interval of the classical initial problem for the bosonic membrane in the light con…
A Hopf-bifurcation theorem for the critically dissipative quasi-geostrophic equation
Weiping Yan, Yong Li
This paper is devoted to the study of the dynamical behavior of the critically dissipative quasi-geostrophic equation in . We prove that this system possesses time-de…
Nonlinear elliptic equations with a singular perturbation on compact Lie groups and Homogeneous spaces
Weiping Yan, Yong Li
This paper is devoted to the study of a class of singular perturbation elliptic type problems on compact Lie groups or homogeneous spaces . By constructing a suitable…
Existence of weak solutions to the three-dimensional density-dependent generalized incompressible magnetohydrodynamic flows
Weiping Yan
In this paper we consider the equations of the unsteady viscous, incompressible, and heat conducting magnetohydrodynamic flows in a bounded three-dimensional domain with Lipschitz…