2 papers
math.AP2018
The Burgers' equation with stochastic transport: shock formation, local and global existence of smooth solutions
Diego Alonso-Orán, Aythami Bethencourt de León, So Takao
In this work, we examine the solution properties of the Burgers' equation with stochastic transport. First, we prove results on the formation of shocks in the stochastic equation a…
math.AP2018
Stability, well-posedness and blow-up criterion for the Incompressible Slice Model
Diego Alonso-Orán, Aythami Bethencourt de León
In atmospheric science, slice models are frequently used to study the behaviour of weather, and specifically the formation of atmospheric fronts, whose prediction is fundamental in…