A mixed bvp for flow in strongly anisotropic media

Abstract

Initial-boundary value problems for a class of linear parabolic equations are considered. The anisotropy of the medium is characterised by a small parameter. The solution structure is analysed by singular perturbation methods which include the construction of outer solutions and boundary and initial layer terms. The analysis is justified by convergence results

Keywords:

• Mixed boundary value problems
• anisotropic medium
• singular perturbations