Serge Nicaise, Alessandro Paolucci, Cristina Pignotti
Published 2020-07-17Version 1
In this paper we analyze a coupled system between a transport equation and an ordinary differential equation with time delay (which is a simplified version of a model for kidney blood flow control). Through a careful spectral analysis we characterize the region of stability, namely the set of parameters for which the system is exponentially stable. Also, we perform a bifurcation analysis and determine some properties of the stable steady state set and the limit cycle oscillation region. Some numerical examples illustrate the theoretical results.
Non-local traffic flow models with time delay: well-posedness and numerical approximation
Observability inequalities for transport equations through Carleman estimates
Global existence for coupled systems of nonlinear wave and Klein-Gordon equations in three space dimensions
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