2 papers
math.AP2024
Existence and compactness of global weak solutions of three-dimensional axisymmetric Ericksen-Leslie system
Joshua Kortum, Changyou Wang
In dimension three, the existence of global weak solutions to the axisymmetric simplified Ericksen-Leslie system without swirl is established. This is achieved by analyzing weak co…
math.AP2023
Quantitative aspects on the ill-posedness of the Prandtl and hyperbolic Prandtl equations
Francesco De Anna, Joshua Kortum, Stefano Scrobogna
We address a physically-meaningful extension of the Prandtl system, also known as hyperbolic Prandtl equations. We show that the linearised model around a non-monotonic shear flow…