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.