Bài báo/NewspaperTác giả : Pham Truong Xuan (2024)
We prove the existence and polynomial stability of periodic mild solutions for Boussinesq systems
in critical weak-Morrey spaces for dimension n > 3. Those systems are derived via the Boussinesq
approximation and describe the movement of an incompressible viscous fluid under natural convection filling
the whole space R
Using certain dispersive and smoothing properties of heat semigroups on Morrey-Lorentz
spaces as well as Yamazaki-type estimate on block spaces, we prove the existence of bounded mild solutions for the linear systems corresponding to the Boussinesq systems. Then, we establish a Massera-type theorem to obtain the existence and uniqueness of periodic solutions to corr... 
