38 citations · 71 across the 12 of their papers we have counts for
3 papers · 2 filters
Traveling waves and transverse instability for the fractional Kadomtsev-Petviashvili equation
Handan Borluk, Gabriele Bruell, Dag Nilsson
Of concern are traveling wave solutions for the fractional Kadomtsev--Petviashvili (fKP) equation. The existence of periodically modulated solitary wave solutions is proved by dime…
Non-Newtonian two-phase thin-film problem: Local existence, uniqueness, and stability
Oliver Assenmacher, Gabriele Bruell, Christina Lienstromberg
We study the flow of two immiscible fluids located on a solid bottom, where the lower fluid is Newtonian and the upper fluid is a non-Newtonian Ellis fluid. Neglecting gravitationa…
Symmetry of periodic traveling waves for nonlocal dispersive equations
Gabriele Bruell, Long Pei
Of concern is the a priori symmetry of traveling wave solutions for a general class of nonlocal dispersive equations \[ u_t +(u^2 +Lu)_x =0, \] where is a Fourier multiplier op…