3 papers
math.AP2023
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…
math.AP2023
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…
math.AP2022
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…