Theory and Applications of Singular Perturbations: Proceedings of a Conference Held in Oberwolfach, August 16–22, 1981

H. J. K. Moet (auth.), W. Eckhaus, E. M. de Jager (eds.)9780387115849, 0-387-11584-6

Table of contents :
Asymptotic analysis of the free boundary in singularly perturbed elliptic variational inequalities….Pages 2-18
Regularization and bounded penalization in free boundary problems….Pages 19-42
Singular perturbation of non-self-adjoint elliptic eigenvalue problems….Pages 43-53
Coercive singular perturbations: Reduction and convergence….Pages 54-64
A singular perturbation approach to nonlinear elliptic boundary value problems….Pages 65-71
Singular-singularly perturbed linear equations in Banach spaces….Pages 72-83
Wave reflection and quasiresonance….Pages 84-112
Applications of nonstandard analysis to boundary value problems in singular perturbation theory….Pages 113-135
Etude macroscopique de l’equation de van der Pol….Pages 136-144
On elliptic singular perturbation problems with several turning points….Pages 145-149
Nonlinear boundary value problems with turning points and properties of difference schemes….Pages 150-169
Singularly perturbed boundary value problems for nonlinear systems, including a challenging problem for a nonlinear beam….Pages 170-191
An accurate method without directional bias for the numerical solution of a 2-D elliptic singular perturbation problem….Pages 192-206
Analysis of adaptive finite element methods for −εU″+U′=F based on a-posteriori error estimates….Pages 207-227
Singular perturbations for the two-dimensional viscous flow problem….Pages 229-244
The asymptotic solution of singularly perturbed Dirichlet problems with applications to the study of incompressible flows at high Reynolds number….Pages 245-257
On the swirling flow between rotating coaxial disks: a survey….Pages 258-280
Wave pattern of a ship sailing at low speed….Pages 281-294
Applications of singular perturbation techniques to combustion theory….Pages 295-308
A perturbed free boundary problem arising in the physics of ionized gases….Pages 309-317
Kramers’ diffusion problem and diffusion across characteristic boundaries….Pages 318-345
On a singular perturbation in the kinetic theory of enzymes….Pages 346-363