2 citations · 4 across the 2 of their papers we have counts for
3 papers
math.AP2025
The zero-dispersion limit for the Benjamin--Ono equation on the circle
Ola Mæhlen
Using the explicit formula of P. Gérard, we characterize the zero-dispersion limit for solutions of the Benjamin--Ono equation on the circle w…
math.AP2023★ 2 cited
On the precise cusped behaviour of extreme solutions to Whitham-type equations
Mats Ehrnström, Ola I. H. Mæhlen, Kristoffer Varholm
We prove exact leading-order asymptotic behaviour at the origin for nontrivial solutions of two families of nonlocal equations. The equations investigated include those satisfied b…
math.AP2021★ 2 cited
One-sided Hölder regularity of global weak solutions of negative order dispersive equations
Ola I. H. Maehlen, Jun Xue
We prove global existence, uniqueness and stability of entropy solutions with initial data for a general family of negative order dispersive equations. It is fur…