Theory and Applications of Singular Perturbations

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