8 citations · 19 across the 12 of their papers we have counts for
12 papers
Global Well-posedness of the 2D Stochastic Self-consistent Keller-Segel-Navier-Stokes System with Subcritical Cellular Mass
Fanze Kong, Chen-Chih Lai, Krutika Tawri
We consider a stochastic Keller-Segel-Navier-Stokes system in describing the collective motion of cells in an ambient stochastic fluid flow, where the cells are attracted by…
Global Existence and Aggregation of Chemotaxis-fluid Systems in Dimension Two
Fanze Kong, Chen-Chih Lai, Juncheng Wei
To describe the cellular self-aggregation phenomenon, some strongly coupled PDEs named as Keller-Segel (KS) and Patlak-Keller-Segel (PKS) systems were proposed in 1970s. Since KS a…
Thermal relaxation toward equilibrium and periodically pulsating spherical bubbles in an incompressible liquid
Chen-Chih Lai, Michael I. Weinstein
We study the radial relaxation dynamics toward equilibrium and time-periodic pulsating spherically symmetric gas bubbles in an incompressible liquid due to thermal effects. The asy…
Mild solutions and spacetime integral bounds for Stokes and Navier-Stokes flows in Wiener amalgam spaces
Zachary Bradshaw, Chen-Chih Lai, Tai-Peng Tsai
We first prove decay estimates and spacetime integral bounds for Stokes flows in amalgam spaces which connect the classical Lebesgue spaces to the spaces of uniformly local…
Free boundary problem for a gas bubble in a liquid, and exponential stability of the manifold of spherically symmetric equilibria
Chen-Chih Lai, Michael I. Weinstein
We consider the dynamics of a gas bubble immersed in an incompressible fluid of fixed temperature, and focus on the relaxation of an expanding and contracting spherically symmetric…
Finite energy Navier-Stokes flows with unbounded gradients induced by localized flux in the half-space
Kyungkeun Kang, Baishun Lai, Chen-Chih Lai +1
For the Stokes system in the half space, Kang [Math.~Ann.~2005] showed that a solution generated by a compactly supported, Hölder continuous boundary flux may have unbounded normal…
Global existence of free-energy solutions to the 2D Patlak--Keller--Segel--Navier--Stokes system with critical and subcritical mass
Chen-Chih Lai, Juncheng Wei, Yifu Zhou
We consider a coupled Patlak-Keller-Segel-Navier-Stokes system in that describes the collective motion of cells and fluid flow, where the cells are attracted by a ch…
The Green tensor of the nonstationary Stokes system in the half space
Kyungkeun Kang, Baishun Lai, Chen-Chih Lai +1
We prove the first ever pointwise estimates of the (unrestricted) Green tensor and the associated pressure tensor of the nonstationary Stokes system in the half-space, for every sp…
New type II Finite time blow-up for the energy supercritical heat equation
Manuel del Pino, Chen-Chih Lai, Monica Musso +2
We consider the energy supercritical heat equation with the -th Sobolev exponent \begin{equation*} \begin{cases} u_t=Δu+u^{3},~&\mbox{ in } Ω\times (0,T),\\ u(x,t)=u|_{\part…
Finite time blow-up for the nematic liquid crystal flow in dimension two
Chen-Chih Lai, Fanghua Lin, Changyou Wang +2
We consider the initial-boundary value problem of a simplified nematic liquid crystal flow in a bounded, smooth domain . Given any distinct points in the…
Forward Discretely Self-Similar Solutions of the MHD Equations and the Viscoelastic Navier-Stokes Equations with Damping
Chen-Chih Lai
In this paper, we prove the existence of forward discretely self-similar solutions to the MHD equations and the viscoelastic Navier-Stokes equations with damping with large weak $L…
An N-barrier maximum principle for autonomous systems of species and its application to problems arising from population dynamics
Chiun-Chuan Chen, Li-Chang Hung, Chen-Chih Lai
We show that the N-barrier maximum principle (NBMP) remains true for species. In addition, a stronger lower bound in NBMP is given by employing an improved tangent line…