9 papers
Traveling waves for a quasilinear wave equation
Gabriele Bruell, Piotr Idzik, Wolfgang Reichel
We consider a 2+1 dimensional wave equation appearing in the context of polarized waves for the nonlinear Maxwell equations. The equation is quasilinear in the time derivatives and…
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…
Well-posedness and stability for a mixed order system arising in thin film equations with surfactant
Gabriele Bruell
The objective of the present work is to provide a well-posedness result for a capillary driven thin film equation with insoluble surfactant. The resulting parabolic system of evolu…
On a thin film model with insoluble surfactant
Gabriele Bruell, Rafael Granero-Belinchón
This paper studies the existence and asymptotic behavior of global weak solutions for a thin film equation with insoluble surfactant under the influence of gravitational, capillary…
Waves of maximal height for a class of nonlocal equations with homogeneous symbols
Gabriele Bruell, Raj Narayan Dhara
We discuss the existence and regularity of periodic traveling-wave solutions of a class of nonlocal equations with homogeneous symbol of order , where . Based on the prope…