93 citations · 297 across the 25 of their papers we have counts for
25 papers
Global solutions of compressible Navier-Stokes equations with small viscosity
Lv Cai, Ning-An Lai, Zexian Zhang +1
In this paper, we study the Cauchy problem for the compressible Navier-Stokes system in . Suppose that the viscosity coefficients satisfy , and…
A blow-up result for the semilinear Euler-Poisson-Darboux-Tricomi equation with critical power nonlinearity
Ning-An Lai, Alessandro Palmieri, Hiroyuki Takamura
In this paper, we prove a blow-up result for a generalized semilinear Euler-Poisson-Darboux equation with polynomially growing speed of propagation, when the power of the semilinea…
Blow-up and lifespan estimate to a nonlinear wave equation in Schwarzschild spacetime
Ning-An Lai, Yi Zhou
We study the semilinear wave equation with power type nonlinearity and small initial data in Schwarzschild spacetime. If the nonlinear exponent satisfies , we…
Lifespan estimates for the compressible Euler equations with damping via Orlicz spaces techniques
Ning-An Lai, Nico Michele Schiavone
In this paper we are interested in the upper bound of the lifespan estimate for the compressible Euler system with time dependent damping and small initial perturbations. We employ…
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…
Blow-up and lifespan estimate for generalized Tricomi equations related to Glassey conjecture
Ning-An Lai, Nico Michele Schiavone
We study in this paper the small data Cauchy problem for the semilinear generalized Tricomi equations with a nonlinear term of derivative type for …
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…
Nonexistence results for a higher-order evolution equation with an inhomogeneous term depending on time and space
Mohamed Jleli, Ning-An Lai, Bessem Samet
We consider a higher-order evolution equation with an inhomogeneous term depending on time and space. We first derive a general criterion for the nonexistence of weak solutions. Ne…
Strauss exponent for semilinear wave equations with scattering space dependent damping
Ning-An Lai, Ziheng Tu
It is believed or conjectured that the semilinear wave equations with scattering space dependent damping admit the Strauss critical exponent, see Ikehata-Todorova-Yordanov \cite{IT…
Short time blow-up by negative mass term for semilinear wave equations with small data and scattering damping
Ning-An Lai, Nico Michele Schiavone, Hiroyuki Takamura
In this paper we study blow-up and lifespan estimate for solutions to the Cauchy problem with small data for semilinear wave equations with scattering damping and negative mass ter…
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…
Nonexistence of global solutions of nonlinear wave equations with weak time-dependent damping related to Glassey conjecture
Ning-An Lai, Hiroyuki Takamura
This work is devoted to the nonexistence of global-in-time energy solutions of nonlinear wave equation of derivative type with weak time-dependent damping in the scattering and sca…
Blow-up for semilinear damped wave equations with sub-Strauss exponent in the scattering case
Ning-An Lai, Hiroyuki Takamura
It is well-known that the critical exponent for semilinear damped wave equations is Fujita exponent when the damping is effective. Lai, Takamura and Wakasa in 2017 have obtained a…
The sharp lifespan estimate for semilinear damped wave equation with Fujita critical power in high dimensions
Ning-An Lai, Yi Zhou
This paper is concerned about the lifespan estimate to the Cauchy problem of semilinear damped wave equations with the Fujita critical exponent in high dimensions. We es…
Blow-up for semilinear wave equations with the scale invariant damping and super-Fujita exponent
Ning-An Lai, Hiroyuki Takamura, Kyouhei Wakasa
The blow-up for semilinear wave equations with the scale invariant damping has been well-studied for sub-Fujita exponent. However, for super-Fujita exponent, there is only one blow…
Global Existence of the Critical Semilinear Wave Equations with Variable Coefficients Outside Obstacles
Yi Zhou, Ning-An Lai
In this paper, we consider exterior problem of the critical semilinear wave equation in three space dimensions with variable coefficients and prove global existence of smooth solut…