2 citations · 5 across the 7 of their papers we have counts for
14 papers
Global existence of strong solution to non-isothermal ideal gas system
Bin Han, Ning-An Lai, Andrei Tarfulea
This paper aims to establish the global existence of strong solutions to a non-isothermal ideal gas model. We first show global well-posedness in the Sobolev space $H^2(\mathbb{R}^…
Lifespan estimates for semilinear wave equations with space dependent damping and potential
Ning-An Lai, Mengyun Liu, Ziheng Tu +1
In this work, we investigate the influence of general damping and potential terms on the blow-up and lifespan estimates for energy solutions to power-type semilinear wave equations…
Global existence for semilinear wave equations with scaling invariant damping in 3-D
Ning-An Lai, Yi Zhou
Global existence for small data Cauchy problem of semilinear wave equations with scaling invariant damping in 3-D is established in this work, assuming that the data are radial and…
Positivity of temperature for some non-isothermal fluid models
Ning-An Lai, Chun Liu, Andrei Tarfulea
We establish three partial differential equation models describing the thermodynamics of the fluid, by combining the energetic variational approach, appropriate constitutive relati…
Lifespan estimates for -dimensional semilinear wave equations in asymptotically Euclidean exterior domains
Ning-An Lai, Mengyun Liu, Kyouhei Wakasa +1
In this paper we study the initial boundary value problem for two-dimensional semilinear wave equations with small data, in asymptotically Euclidean exterior domains. We prove that…
Heat-like and wave-like lifespan estimates for solutions of semilinear damped wave equations via a Kato's type lemma
Ning-An Lai, Nico Michele Schiavone, Hiroyuki Takamura
In this paper we study several semilinear damped wave equations with "subcritical" nonlinearities, focusing on demonstrating lifespan estimates for energy solutions. Our main conce…