5 papers · 1 filter
Asymmetric deformations of a perturbed spherical bubble in an incompressible fluid
Chen-Chih Lai, Michael I. Weinstein
We study the dynamics of a gas bubble in a fluid with surface tension, initially near a spherical equilibrium. While there are many studies and applications of radial bubble dynami…
Applications of the Green tensor estimates of the nonstationary Stokes system in the half space
Kyungkeun Kang, Baishun Lai, Chen-Chih Lai +1
In this paper, we present a series of applications of the pointwise estimates of the (unrestricted) Green tensor of the nonstationary Stokes system in the half space, established i…
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…