93 citations · 297 across the 25 of their papers we have counts for
5 papers · 2 filters
Blow-up and lifespan estimate to a nonlinear wave equation in Schwarzschild spacetime
Ning-An Lai
In \cite{Luk}, Luk proved global existence for semilinear wave equations in Kerr spacetime with small angular momentum() \[ \Box_{g_K}ϕ=F(\partial ϕ), \] when the quadratic…
Global Instability of the Multi-dimensional Plane Shocks for the isothermal flow
Ning-An Lai, Wei Xiang, Yi Zhou
In this paper, we are concerned with the long time behavior of the piecewise smooth solutions to the generalized Riemann problem governed by the compressible isothermal Euler equat…
Weighted estimate for wave equation and its applications
Ning-An Lai
In this work we establish a weighted estimate for inhomogeneous wave equation in 3-D, by introducing a Morawetz multiplier with weight of power , and then integ…
Wave-like blow-up for semilinear wave equations with scattering damping and negative mass term
Ning-An Lai, Nico Michele Schiavone, Hiroyuki Takamura
In this paper we establish blow-up results and lifespan estimates for semilinear wave equations with scattering damping and negative mass term for subcritical power, which is the s…
Nonexistence of global solutions of wave equations with weak time-dependent damping and combined nonlinearity
Ning-An Lai, Hiroyuki Takamura
In our previous two works, we studied the blow-up and lifespan estimates for damped wave equations with a power nonlinearity of the solution or its derivative, with scattering damp…