Mini-workshop: “Recent Advances in Analysis and Control”

Date: Fri. July 1, 2022
Organized by: FAU DCN-AvH, Chair for Dynamics, Control and Numerics – Alexander von Humboldt Professorship at FAU Erlangen-Nürnberg (Germany)
Title: Mini-workshop “Recent Advances in Analysis and Control”

WHERE?
This is a hybrid event (online & on-site)
• Online: Join via Zoom meeting link
Meeting ID: 663 2911 1030 | PIN: 058826

• On site: Seminar room 05.025
Friedrich-Alexander-Universität Erlangen-Nürnberg.
Cauerstraße 7 – Turm B, 91058 – Erlangen, Bavaria (Germany)

10:00H
Alejandro Aceves, Southern Methodist University
“Optics with fractional diffraction”

Abstract. Advances in optics many times rely on ways to engineer your optical media. While much is known about engineering temporal dispersion, it is not the case with diffraction. In this talk I will briefly explain how one can see this and discuss mathematical models in particular in the nonlinear regime.

 
10:30H
Gloria Paoli, FAU DCN-AvH Chair for Dynamics, Control and Numerics – Alexander von Humboldt Professorship at FAU Erlangen-Nürnberg (Germany)
“Optimization and stability for eigenvalues of linear and non linear type“

Abstract. We collect in this talk some of the quantitative results obtained for eigenvalues problems of linear and non linear operators with different types of boundary condtions, in particular with Steklov and Robin boundary conditions. A stability result in terms of the perimeter is also obtained for the first Dirichlet eigenvalue of the Laplacian operator.
Finally, we provide a quantitative estimate of the Polya inequality for the torsional rigidity, in the case of planar and convex sets.
 
11:00H
Yesim Sarac, FAU DCN-AvH Chair for Dynamics, Control and Numerics – Alexander von Humboldt Professorship at FAU Erlangen-Nürnberg (Germany)
“Nodal Profile Control for the Wave Equation”

Abstract. Control theory arises in most modern applications such as agriculture, military, nuclear power plants, radar tracking system, food processing, etc. The exact boundary controllability problems are often encountered in practical applications. For the purpose of some practical applications, Gugat et al. proposed a new kind of exact boundary controllability, called the exact boundary controllability of nodal profile. In this talk, we will discuss the exact boundary controllability of nodal profile for the 1-d wave equation. We will present a new result obtained in collaboration with Enrique Zuazua for the nodal profile control of the variable coefficients 1 dimensional wave equation. Some extensions will be discussed briefly.

Previous FAU DCN-AvH Workshops:

• Mini-workshop: “Recent Advances in Analysis and Control” by Simpore, Crin-Barat, Biccari (June 20th, 2022)
• Mini-Workshop “Calculus of Variations and Functional Inequalities” by König, Glaudo (May 25th, 2022)
• Mini-workshop: “Model Reduction and Control” by Peitz, Manzoni, Strazzullo (May 24th, 2022)
• Seminar Series: Deep Learning in Control by Heiland (January 17th, 2022)
• Mini-workshop: “Recent Advances in Analysis and Control” by Lazar, Zamorano, Lecaros (January 14th, 2022)
• Mini-workshop: “Recent Advances in Analysis and Control” by Ftouhi, Rodríguez, Song, Matabuena (October 1st, 2021)
• Mini-workshop: “Recent Advances in Analysis and Control” (II) by Sônego, Minh Binh Tran (May 21th, 2021)
• Mini-workshop: “Recent Advances in Analysis and Control” by Della Pietra, Wöhrer, Meinlschmidt (April 30th, 2021)

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