[BOEK][B] Asymptotic analysis of singular perturbations

W Eckhaus - 2011 - books.google.com
The theory of singular perturbations is a fascinating mixture of rigorous analysis, heuristic
reasoning and induction from experience. The aim of this book is to give these aspects a …

[BOEK][B] Studies in non-linear stability theory

W Eckhaus - 2012 - books.google.com
Non-linear stability problems formulated in terms of non-linear partial differential equations
have only recently begun to attract attention and it will probably take some time before our …

[BOEK][B] Matched asymptotic expansions and singular perturbations

W Eckhaus - 2011 - books.google.com
This monograph is a study of the method of matched asymptotic approximations in singular
perturbation problems of the boundary layer type. The method has widely been used in …

Relaxation oscillations including a standard chase on French ducks

W Eckhaus - Asymptotic Analysis II— Surveys and New Trends, 2006 - Springer
RELAXATION OSCILLATIONS INCLUDING A STANDARD CHASE ON FRENCH DUCKS
WIKTOR ECKHAUS Mathematisch Instituut Rijksuniversiteit Utrec Page 1 RELAXATION …

Nonlinear evolution equations, rescalings, model PDEs and their integrability: I

F Calogero, W Eckhaus - Inverse problems, 1987 - iopscience.iop.org
The authors study the problem of wave modulation for a large and quite general class of
nonlinear evolution equations. They demonstrate that only a very limited number of'universal'…

The long-time behaviour for perturbed wave-equations and related problems

W Eckhaus - Trends in Applications of Pure Mathematics to …, 2005 - Springer
The long-time behaviour for perturbed wave-equations and related problems Page 1 THE
LONG-TIME BEHAVIOUR FOR PERTURBED WAVE-EQUATIONS AND RELATED …

[BOEK][B] The inverse scattering transformation and the theory of solitons

W Eckhaus, AM Van Harten - 2011 - books.google.com
The method of inverse scattering transformation and the theory of solitons are among the
most recent and fascinating achievements in the domain of applied mathematics. The …

The emergence of solitons of the korteweg‐de vries equation from arbitrary initial conditions

W Eckhaus, P Schuur - Mathematical Methods in the Applied …, 1983 - Wiley Online Library
We study the solution u(x, t) of the Korteweg‐de Vries equation u t − 6uu x + u xxx = 0 with
arbitrary initial conditions u(x, 0) = u 0 (x), u 0 (x) decaying sufficiently rapidly as |ξ|→∞. Using …

[PDF][PDF] Asymptotic solutions of singular perturbation problems for linear differential equations of elliptic type

W Eckhaus, EM De Jager - Archive for rational mechanics and …, 1966 - research.utwente.nl
We consider a class of linear second order partial differential equations in two independent
variables (1.1) e L2 [4]+ L 1 [4]= h (x, y) where L2 is a linear second order differential …

Boundary layers in linear elliptic singular perturbation problems

W Eckhaus - Siam Review, 1972 - SIAM
This paper presents a survey of recent results obtained in the theory of singular perturbations
for linear elliptic partial differential equations in two independent variables. The emphasis …