24 citations · 60 across the 15 of their papers we have counts for
6 papers · 1 filter
Curved Ingham Inequalities for Dispersive Trigonometric Sums
Bernhard H Haak, Philippe Jaming, Ming Wang +1
We study restrictions of dispersive trigonometric sums to curves in the -plane. Our main result is a curved analogue…
Controllability and observability for non-autonomous evolution equations: the averaged Hautus test
Bernhard Haak, Duc-Trung Hoang, El-Maati Ouhabaz
We consider the observability problem for non-autonomous evolution systems (i.e., the operators governing the system depend on time). We introduce an averaged Hautus condition and…
Mathematical Analysis of the Motion of a Rigid Body in a Compressible Navier-Stokes-Fourier Fluid
Bernhard H. Haak, Debayan Maity, Takéo Takahashi +1
We study an initial and boundary value problem modelling the motion of a rigid body in a heat conducting gas. The solid is supposed to be a perfect thermal insulator. The gas is de…
Exact observability of a 1D wave equation on a non-cylindrical domain
Bernhard Hermann Haak, Duc-Trung Hoang
We discuss admissibility and exact observability estimates of boundary observation and interior point observation of a one-dimensional wave equation on a time dependent domain for…
Control of Volterra systems with scalar kernels
Bernhard Hermann Haak, Birgit Jacob
Volterra observations systems with scalar kernels are studied. New sufficient conditions for admissibility of observation operators are developed. The obtained results are applied…
On Kato's method for Navier--Stokes Equations
Bernhard H. Haak, Peer-Christian Kunstmann
We investigate Kato's method for parabolic equations with a quadratic non-linearity in an abstract form. We extract several properties known from linear systems theory which turn o…