13 papers
A Radon-Transform Perspective on Exoplanet Transits
Shotaro Tada
Transit light curves are usually analyzed under the assumption that the transiting planet has a circular sky-projected silhouette. However, planetary rotation, tides, rings, or atm…
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 $μ…
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}…
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 sm…
Global small data weak solutions of 2-D semilinear wave equations with scale-invariant damping, I
Li Qianqian, Wang Dinghuai, Yin Huicheng
There is an interesting open question: for the -D () semilinear wave equation with scale-invariant damping , where $t\ge 1…