We study the existence of ground states for the Beris-Edward system. Under reasonable symmetry assumption we prove the existence, regularity and decay property of the ground states. Using a linearization around these ground state solutions we study the corresponding Cauchy problem with small initial data. Some dispersive estimates for the perturbed linearized problem are established also.
Ground States for Beris - Edwards model of liquid crystals
Fortuna M.;Georgiev V.
2021-01-01
Abstract
We study the existence of ground states for the Beris-Edward system. Under reasonable symmetry assumption we prove the existence, regularity and decay property of the ground states. Using a linearization around these ground state solutions we study the corresponding Cauchy problem with small initial data. Some dispersive estimates for the perturbed linearized problem are established also.File in questo prodotto:
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