38 citations · 71 across the 12 of their papers we have counts for
15 papers
Existence, regularity, and symmetry of periodic traveling waves for Gardner-Ostrovsky type equations
Gabriele Bruell, Long Pei
We study the existence, regularity, and symmetry of periodic traveling solutions to a class of Gardner-Ostrovsky type equations, including the classical Gardner-Ostrovsky equation,…
Lump solutions of the fractional Kadomtsev--Petviashvili equation
Handan Borluk, Gabriele Bruell, Dag Nilsson
Of concern are lump solutions for the fractional Kadomtsev--Petviashvili (fKP) equation. As in the classical Kadomtsev--Petviashvili equation, the fKP equation comes in two version…
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…
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…
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…
On the thin film Muskat and the thin film Stokes equations
Gabriele Bruell, Rafael Granero-Belinchón
The present paper is concerned with the analysis of two strongly coupled systems of degenerate parabolic partial differential equations arising in multiphase thin film flows. In pa…
On a singular limit for stratified compressible fluids
Gabriele Bruell, Eduard Feireisl
We consider a singular limit problem for the complete compressible Euler system in the low Mach and strong stratification regime. We identify the limit problem - the anelastic Eule…
Symmetric solutions of evolutionary partial differential equations
Gabriele Bruell, Mats Ehrnstrom, Anna Geyer +1
We show that for a large class of evolutionary nonlinear and nonlocal partial differential equations, symmetry of solutions implies very restrictive properties of the solutions and…
Weak solutions to a two-phase thin film model with insoluble surfactant driven by capillary effects
Gabriele Bruell
Of concern is the study of a system of three equations describing the motion of a viscous complete wetting two-phase thin film endowed with a layer of insoluble surfactant on the s…
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…
Modeling and Analysis of a Two-Phase Thin Film Model with Insoluble Surfactant
Gabriele Bruell
In this paper we consider a two-phase thin film consisting of two immiscible viscous fluids endowed with a layer of insoluble surfactant on the surface of the upper fluid. The gove…