39 citations · 112 across the 6 of their papers we have counts for
6 papers
Enhanced existence time of solutions to evolution equations of Whitham type
Mats Ehrnström, Yuexun Wang
We show that Whitham type equations u_t + u u_x -L u_x = 0, where L is a general Fourier multiplier operator of order α\in [-1,1], α\neq 0, allow for small solutions to be extended…
Classical well-posedness in dispersive equations with nonlinearities of mild regularity, and a composition theorem in Besov spaces
Mats Ehrnström, Long Pei
For both localized and periodic initial data, we prove local existence in classical energy space , for a class of dispersive equations $u_{t}+(n(u))_{x}+Lu_{x}=…
Symmetry and decay of traveling wave solutions to the Whitham equation
Gabriele Bruell, Mats Ehrnström, Long Pei
This paper is concerned with decay and symmetry properties of solitary wave solutions to a nonlocal shallow water wave model. It is shown that all supercritical solitary wave solut…
Trimodal steady water waves
Mats Ehrnström, Erik Wahlén
We construct three-dimensional families of small-amplitude gravity-driven rotational steady water waves on finite depth. The solutions contain counter-currents and multiple crests…
Steady water waves with multiple critical layers: interior dynamics
Mats Ehrnström, Joachim Escher, Gabriele Villari
We study small-amplitude steady water waves with multiple critical layers. Those are rotational two-dimensional gravity-waves propagating over a perfect fluid of finite depth. It i…
Steady water waves with multiple critical layers
Mats Ehrnström, Joachim Escher, Erik Wahlén
We construct small-amplitude periodic water waves with multiple critical layers. In addition to waves with arbitrarily many critical layers and a single crest in each period, two-d…