I. Mazari, D. Ruiz-Balet, E. Zuazua. Constrained control of bistable reaction-diffusion equations: Gene-flow and spatially heterogeneous models. 2019. ⟨hal-02373668⟩ Abstract. In this article, we study gene-flow models and the influence of spatial heterogeneity on the dynamics of bistable reaction-diffusion equations from the control point of view. We establish controllability results under geometric assumptions on the…
Control under constraints for multi-dimensional reaction-diffusion monostable and bistable equations
D. Ruiz-Balet, E. Zuazua. Nonnegative control of finite-dimensional linear systems Abstract. Dynamic phenomena in social and biological sciences can often be modeled employing reaction diffusion equations. Frequently in applications, their control plays an important role when avoiding population extinction or propagation of infectious diseases, enhancing multicultural features, etc. When addressing these issues from a mathematical…
A parabolic approach to the control of opinion spreading
D. Ruiz-Balet, E. Zuazua A parabolic approach to the control of opinion spreading. In: Berezovski A., Soomere T. (eds) Applied Wave Mathematics II. Mathematics of Planet Earth, Vol 6. Springer, Cham (2019), pp. 343-363. DOI: 10.1007/978-3-030-29951-4_15 Abstract: We analyze the problem of controlling to consensus a nonlinear system modeling opinion spreading. Our strategy makes use…
