Evolutionary Dynamic Equations
eBook - ePub

Evolutionary Dynamic Equations

Stabilizability, Observability, and Controllability

  1. English
  2. ePUB (mobile friendly)
  3. Available on iOS & Android
eBook - ePub

Evolutionary Dynamic Equations

Stabilizability, Observability, and Controllability

About this book

The book discusses the stability, observability, and controllability of nonlinear systems of PDEs (such as Wave, Heat, Euler-Bernoulli beam, Petrovsky, Kirchhoff, equations, and more). Methods based on the theory of classical weak functions analysis and movements in Sobolev spaces are used to analyze nonlinear systems of evolutionary partial differential equations. With the unifying theme of evolutionary dynamic equations, both linear and nonlinear, in more complex environments with different approaches, the book presents a multidisciplinary blend of topics, spanning the fields of PDEs applied to various models coming from theoretical physics, biology, engineering, and natural sciences.
This comprehensive book is prepared for a diverse audience interested in applied mathematics. With its broad applicability, this book aims to foster interdisciplinary collaboration and facilitate a deeper understanding of complex phenomenon concepts, practically in electromagnetic waves, the acoustic model for seismic waves, waves in blood vessels, wind drag on space, the linear shallow water equations, sound waves in liquids and gases, non-elastic effects in the string.

Frequently asked questions

Yes, you can cancel anytime from the Subscription tab in your account settings on the Perlego website. Your subscription will stay active until the end of your current billing period. Learn how to cancel your subscription.
No, books cannot be downloaded as external files, such as PDFs, for use outside of Perlego. However, you can download books within the Perlego app for offline reading on mobile or tablet. Learn more here.
Perlego offers two plans: Essential and Complete
  • Essential is ideal for learners and professionals who enjoy exploring a wide range of subjects. Access the Essential Library with 800,000+ trusted titles and best-sellers across business, personal growth, and the humanities. Includes unlimited reading time and Standard Read Aloud voice.
  • Complete: Perfect for advanced learners and researchers needing full, unrestricted access. Unlock 1.4M+ books across hundreds of subjects, including academic and specialized titles. The Complete Plan also includes advanced features like Premium Read Aloud and Research Assistant.
Both plans are available with monthly, semester, or annual billing cycles.
We are an online textbook subscription service, where you can get access to an entire online library for less than the price of a single book per month. With over 1 million books across 1000+ topics, we’ve got you covered! Learn more here.
Look out for the read-aloud symbol on your next book to see if you can listen to it. The read-aloud tool reads text aloud for you, highlighting the text as it is being read. You can pause it, speed it up and slow it down. Learn more here.
Yes! You can use the Perlego app on both iOS or Android devices to read anytime, anywhere — even offline. Perfect for commutes or when you’re on the go.
Please note we cannot support devices running on iOS 13 and Android 7 or earlier. Learn more about using the app.
Yes, you can access Evolutionary Dynamic Equations by Akram Ben Aissa,Khaled Zennir in PDF and/or ePUB format, as well as other popular books in Mathematics & Mathematical & Computational Physics. We have over one million books available in our catalogue for you to explore.

Table of contents

  1. Title Page
  2. Copyright
  3. Contents
  4. Frontmatter
  5. Contents
  6. 1 Introduction
  7. 2 Qualitative properties for impulsive wave equation: controllability and observability
  8. 3 Viscoelastic wave equation with dynamic boundary conditions
  9. 4 Passage from internal exact controllability of beam equation to pointwise exact controllability
  10. 5 Second-order evolution equations with/without delay
  11. 6 Euler–Bernoulli beam conveying fluid equation with nonconstant velocity and dynamical boundary conditions
  12. 7 Stabilization of dissipative nonlinear evolution models
  13. 8 Nonlinear Petrovsky-type models
  14. Index
  15. Subject Index