Affiliations: [a] The Institute for Scientific Computing and Applied Mathematics, Indiana University, Bloomington, IN, USA. E-mail: mahamoud@indiana.edu | [b] Department of Mathematics, Faculty of Sciences of Bizerte, University of Carthage, Zarzouna, Tunisia. E-mail: abirsboui@yahoo.fr
Correspondence:
[*]
Corresponding author: Makram Hamouda, The Institute for Scientific Computing and Applied Mathematics, Indiana University, 831 East 3rd Street, Rawles Hall, Bloomington, IN 47405, USA. E-mail: mahamoud@indiana.edu.
Abstract: Our aim in this article is to study the Linearized Navier–Stokes (LNS) problem including an interior singularity of the source function. At small viscosity, in addition to the classical boundary layers, interior layers are then developed inside the domain due to the discontinuities appearing in the limit inviscid solution. Using boundary layer functions method, the asymptotic expansion of the viscous solution is constructed and the uniform validity of the approximate solution is then proved.
