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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…
math.AP2022★ 8 cited
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…