54 citations · 92 across the 8 of their papers we have counts for
10 papers
On the inverse problem of the two-velocity tree-like graph
S. A. Avdonin, A. Choque Rivero, G. Leugering +1
In this article the authors continue the discussion in \cite{ALM} about inverse problems for second order elliptic and hyperbolic equations on metric trees from boundary measuremen…
Exact Controllability for the Wave Equation on a Graph with Cycle and Delta-Prime Vertex Conditions
Sergei Avdonin, Julian Edward, Gunter Leugering
Exact controllability for the wave equation on a metric graph consisting of a cycle and two attached edges is proven. One boundary and one internal control are used. At the interna…
Optimisation of Region of Attraction Estimates for the Exponential Stabilisation of the Intrinsic Geometrically Exact Beam Model
Marc Artola, Charlotte Rodriguez, Andrew Wynn +2
A systematic approach to maximise estimates on the region of attraction in the exponential stabilisation of geometrically exact (nonlinear) beam models via boundary feedback is pre…
Optimal control problems of parabolic fractional sturm liouville equations in a star graph
G. Leugering, G. Mophou, M. Moutamal +1
In the present paper we deal with parabolic fractional initial-boundary value problems of Sturm Liouville type in an interval and in a general star graph. We first give several exi…
On Boundary Exact Controllability of One-Dimensional Wave Equations with Weak and Strong Interior Degeneration
Peter I. Kogut, Olha P. Kupenko, Günter Leugering
In this paper we study exact boundary controllability for a linear wave equation with strong and weak interior degeneration of the coefficient in the principle part of the elliptic…
Nodal profile control for networks of geometrically exact beams
Günter Leugering, Charlotte Rodriguez, Yue Wang
In this work, we consider networks of so-called geometrically exact beams, namely, shearable beams that may undergo large motions. The corresponding mathematical model, commonly wr…
Existence and uniqueness of time-fractional diffusion equation on a metric star graph
Vaibhav Mehandiratta, Mani Mehra, Gunter Leugering
In this paper, we study the time-fractional diffusion equation on a metric star graph. The existence and uniqueness of the weak solution are investigated and the proof is based on…
Boundary feedback stabilization for the intrinsic geometrically exact beam model
Charlotte Rodriguez, Günter Leugering
In this work we address the problem of boundary feedback stabilization for a geometrically exact shearable beam, allowing for large deflections and rotations and small strains. The…
Control and stabilization of degenerate wave equations
Fatiha Alabau-Boussouira, Piermarco Cannarsa, Günter Leugering
We study a wave equation in one space dimension with a general diffusion coefficient which degenerates on part of the boundary. Degeneracy is measured by a real parameter .…
A shape-topological control problem for nonlinear crack - defect interaction: the anti-plane variational model
Victor A. Kovtunenko, Günter Leugering
We consider the shape-topological control of a singularly perturbed variational inequality. The geometry-dependent state problem that we address in this paper concerns a heterogene…