Yin Huicheng

The Small Data Solutions of General 3D Quasilinear Wave Equations. I

For the three-dimensional (3D) quasilinear wave equation

Nonexistence of global weak solution with only one stable supersonic conic shock wave for the steady supersonic Euler flow past a perturbed cone

\sum_{i,j=0}^3g^{ij}(\partial u)\partial_{ij}^2u=0

The asymptotic behaviour of solutions for a class of quasilinear wave equations with cubic nonlinearity in two space dimensions

with coefficients independent of the solution

On the Steady Non-Newtonian Fluids in Domains with Noncompact Boundaries

u

The blowup for 2-D quasilinear wave equations with cubic nonlinearity

, a blowup result or global existence result has been completely established provided that the null condition does not hold or holds, respectively. In this paper and a subsequent paper (see [D. Bingbing, W. Ingo, and Y. Huicheng, The Small Data Solutions of General

The lifespan for 3-D spherically symmetric compressible euler equations

3

On the blowup of classical solutions to the 3-D pressure-gradient systems☆

-D Quasilinear Wave Equations. II, preprint, 2014]), we will systematically study the more general 3D quasilinear wave equation

On the lifespan and the blowup mechanism of smooth solutions to a class of 2-D nonlinear wave equations with small initial data

\sum_{i,j=0}^3g^{ij}(u, \partial u)\partial_{ij}^2u=0

On the blowup and lifespan of smooth solutions to a class of 2-D nonlinear wave equations with small initial data

with coefficients depending simultaneously on

Global singularity structures of weak solutions to 4-D semilinear dispersive wave equations

u