Advances in Partial Differential Equations and Control : The 2023 Conference in Seville, Spain / edited by Kaïs Ammari, Anna Doubova, Stéphane Gerbi, Manuel González-Burgos.

Format:

Book

Author/Creator:

Ammari, Kaïs.

Contributor:

Doubova, Anna.

Gerbi, Stéphane.

González-Burgos, Manuel.

Series:

Trends in Mathematics, 2297-024X

Language:

English

Subjects (All):

Differential equations.

System theory.

Control theory.

Differential Equations.

Systems Theory, Control.

Local Subjects:

Differential Equations.

Systems Theory, Control.

Physical Description:

1 online resource (250 pages)

Edition:

1st ed. 2024.

Place of Publication:

Cham : Springer Nature Switzerland : Imprint: Birkhäuser, 2024.

Summary:

This volume presents a timely overview of control theory and related topics, such as the reconstruction problem, the stability of PDEs, and the Calderón problem. The chapters are based on talks given at the conference "Control & Related Fields” held in Seville, Spain in March 2023. In addition to providing a snapshot of these areas, chapters also highlight breakthroughs on more specific topics, such as: Stabilization of an acoustic system The Kramers-Fokker-Planck operator Control of parabolic equations Control of the wave equation Advances in Partial Differential Equations and Control will be a valuable resource for both established researchers as well as more junior members of the community.

Contents:

Part I: Control of partial differential equations

Energy decay estimate for a wave-plate interface transmission problem with only two dynamical boundary controls

Uniform stabilization of an acoustic system

Some results on the energy decay of solutions for a wave equation with a general internal feedback of diffusive type

Numerical approximation of the boundary control for the wave equation with periodic oscillating coefficients

Numerical impulse controllability for parabolic equations by a penalized HUM approach

Part II: Related fields

Decoding the Kramers-Fokker-Planck Operator: An overview

Exponential decay of solutions to linear evolution equations with time-dependent time delay

Central Nervous System Action on Rolling Balance Board Robust Stabilization: Computer Algebra and MID-based feedback design

Study of the numerical method for an inverse problem of a simplified intestinal crypt.

Other Format:

Print version: Ammari, Kaïs Advances in Partial Differential Equations and Control

ISBN:

9783031622656

OCLC:

1450408312