3 citations · 3 across the 3 of their papers we have counts for
5 papers
Multiple solutions and simulations for an Ion Flow Field problem applied to HVDC transmission lines
Madeline Chauvier, Serge Nicaise, Christophe Troestler +1
This paper initiates a mathematical investigation of a PDE model for the transport of high voltage direct current via overhead lines. We prove the existence of infinitely many solu…
Critical points of solutions of elliptic equations in divergence form in planar non simply connected domains with smooth or nonsmooth boundary
Rolando Magnanini, Serge Nicaise, Madeline Chauvier
We study the critical points of the solution of second elliptic equations in divergence and diagonal form with a bounded and positive definite coefficient, under the assumption tha…
Journey Through the World of Dynamical Systems on Networks
A. Puchalska, M. N. Cartier van Dissel, P. Gora +9
We present a subjective selection of methods for complex systems analysis ranging from statistical tools through numerical methods based on AI to both linear and non-linear ODEs an…
Frequency-explicit stability estimates for time-harmonic elastodynamic problems in nearly incompressible materials
T. Chaumont-Frelet, S. Nicaise
We consider time-harmonic elastodynamic problems in heterogeneous media.cWe focus on scattering problems in the high-frequency regime and incnearly incompressible media, where the…
Stability of abstract coupled systems
Serge Nicaise, Lassi Paunonen, David Seifert
We study stability of abstract differential equations coupled by means of a general algebraic condition. Our approach is based on techniques from operator theory and systems theory…