Singular Perturbations and Boundary Layers

• Main Authors: Gie, Gung-Min (Author, http://id.loc.gov/vocabulary/relators/aut), Hamouda, Makram (http://id.loc.gov/vocabulary/relators/aut), Jung, Chang-Yeol (http://id.loc.gov/vocabulary/relators/aut), Temam, Roger M. (http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2018.
• Edition: 1st ed. 2018.
• Series: Applied Mathematical Sciences, 200
• Subjects: Functional analysis.; Approximation theory.; Functional Analysis.; Approximations and Expansions.

Singular perturbations occur when a small coefficient affects the highest order derivatives in a system of partial differential equations. From the physical point of view singular perturbations generate in the system under consideration thin layers located often but not always at the boundary of the...

Table of Contents:

• Chapter 01- Singular perturbations in dimension one
• Chapter 2- Singular perturbations in higher dimensions in a channel
• Chapter 3- Boundary layers in a curved domain in Rd, d = 2;3
• Chapter 4- Corner layers and turning points for convection-diffusion equations
• Chapter 5- Convection-diffusion equations in a circular domain with characteristic point layers
• Chapter 6- The Navier-Stokes equations in a periodic channel
• Chapter 7- The Navier-Stokes equations in a curved domain
• Appendix
• References.