16 papers
Global small data radial symmetric solutions of 3D semilinear Euler-Poisson-Darboux equations
Qianqian Li, Qiao Xin, Huicheng Yin
For the 3D semilinear Euler-Poisson-Darboux equation , where , and , it is conjectured that there is a critical exponent $p…
Global classical solutions to 3D irrotational compressible Euler equations of Chaplygin gases with weakly decaying initial data
Mu Gao, Huicheng Yin
We are concerned with the global classical solution problem of 3D compressible isentropic Euler equations of Chaplygin gases \[ \begin{cases} \partial_tρ+ \mathrm{div}(ρv) = 0,\\ \…
Global existence of small data solutions to 3-D semilinear Euler-Poisson-Darboux equations
Qianqian Li, Huicheng Yin
There is an interesting open question: for -D () semilinear Euler-Poisson-Darboux equation , where , and …
Long time smooth solutions of 3D cubic quasilinear wave systems with small weakly decaying initial data
Mu Gao, Jun Li, Huicheng Yin
For the 3D cubic quasilinear wave system $\square_{c_i} u^i=G^i(u,\partial u,\partial^2u)=\displaystyle\sum_{\substack{0\le|α|,|β|,|γ|\le1 \\ 1\le j,k,l \le m}}g_{αβγ}^{ijkl}\parti…
Long time smooth solutions of 2-D quadratic quasilinear wave equations in exterior domains with Neumann boundary conditions
Fei Hou, Huicheng Yin, Meng Yuan
For the 3-D quadratic quasilinear wave equations in exterior domains with Dirichlet or Neumann boundary conditions, the global existence or the maximal existence time of small data…
Global small data weak solutions of 2-D semilinear wave equations with scale-invariant damping, III
Qianqian Li, Huicheng Yin
For the -D semilinear wave equation with scale-invariant damping , where , and , it is conjectured that the global smal…