On some singularly perturbed problems for viscous stratified fluids
The singularly perturbed boundary value problem which describes the motion of a stratified viscous fluid is obtained and an asymptotic expansion of the solution for vanishing viscosity is developed. The two cases considered are when the reduced equation has (i) a unique solution and (ii) a family of solutions. The latter situation is an example of a singular-singular perturbation problem. Proof of the uniform asymptotic validity of the constructed expansion is given.
singularly perturbed boundary value problem
scientific article; zbMATH DE number 4085331
scientific article