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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…