2 papers
math.AP2024
Quasilinear parabolic equations with superlinear nonlinearities in critical spaces
Bogdan-Vasile Matioc, Luigi Roberti, Christoph Walker
Well-posedness in time-weighted spaces for quasilinear (and semilinear) parabolic evolution equations is established in a certain critical case of strict inclusion…
math.AP2023
Weak and classical solutions to an asymptotic model for atmospheric flows
Bogdan-Vasile Matioc, Luigi Roberti
In this paper we study a recently derived mathematical model for nonlinear propagation of waves in the atmosphere, for which we establish the local well-posedness in the setting of…