On some singularly perturbed problems for viscous stratified fluids
type: Item
instance of: scholarly article
title: On some singularly perturbed problems for viscous stratified fluids
zbMATH Open document ID: 0663.76130
DOI: 10.1016/0022-247X(88)90195-3
author: N. N. Nefedov
published in: Journal of Mathematical Analysis and Applications
publication date: 1988-01-01T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 76V05
Mathematics Subject Classification ID: 35Q99
Mathematics Subject Classification ID: 76D99
zbMATH DE Number: 4085331
zbMATH Keywords: singularly perturbed boundary value problem
zbMATH Keywords: stratified viscous fluid
zbMATH Keywords: asymptotic expansion
zbMATH Keywords: singular-singular perturbation problem
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4085331