Wiktor Eckhaus | Academic Influence

Wiktor Eckhaus's AcademicInfluence.com Rankings

Wiktor Eckhaus

Mathematics

#4131

World Rank

#5937

Historical Rank

Measure Theory

#2981

World Rank

#3541

Historical Rank

mathematics Degrees

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Mathematics

Wiktor Eckhaus's Degrees

PhD Mathematics University of Warsaw
Doctorate Mathematics University of Warsaw

Why Is Wiktor Eckhaus Influential?

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According to Wikipedia, Wiktor Eckhaus was a Polish–Dutch mathematician, known for his work on the field of differential equations. He was Professor Emeritus of Applied Mathematics at the Utrecht University. Biography Eckhaus was born into a wealthy family, and raised in Warsaw where his father was managing a fur company. During the German occupation of Poland, he, his mother and sister had to hide because of their Jewish descent. His father, after being a prisoner of war, joined the Russian Army. After the war, in 1947, the re-united family came to Amsterdam – via a refugee camp in Austria.

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Wiktor Eckhaus's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Asymptotic Analysis of Singular Perturbations (1979) (402)
Relaxation oscillations including a standard chase on French ducks (1983) (252)
Studies in Non-Linear Stability Theory (1965) (207)
Matched Asymptotic Expansions and Singular Perturbations (1973) (172)
Nonlinear evolution equations, rescalings, model PDEs and their integrability: II (1987) (146)
Asymptotic solutions of singular perturbation problems for linear differential equations of elliptic type (1966) (137)
Non-linear wave-number interaction in near-critical two-dimensional flows (1971) (104)
The emergence of solutions of the Korteweg-de Vries equation form arbitrary initial conditions (1983) (86)
Boundary Layers in Linear Elliptic Singular Perturbation Problems (1972) (80)
Slowly Modulated Two-Pulse Solutions in the Gray--Scott Model II: Geometric Theory, Bifurcations, and Splitting Dynamics (2001) (65)
Periodic and quasi-periodic solutions of degenerate modulation equations (1991) (65)
The Inverse Scattering Transformation and the Theory of Solitons: An Introduction (1981) (63)
Slowly Modulated Two-Pulse Solutions in the Gray--Scott Model I: Asymptotic Construction and Stability (2000) (60)
The Ginzburg-Landau manifold is an attractor (1993) (58)
On a Galerkin-averaging method for weakly non-linear wave equations (1989) (52)
Strong selection or rejection of spatially periodic patterns in degenerate bifurcations (1989) (52)
Theory of flame-front stability (1961) (51)
Necessary conditions for integrability of nonlinear PDEs (1987) (49)
The long-time behaviour for perturbed wave-equations and related problems (1986) (42)
New approach to the asymptotic theory of nonlinear oscillations and wave-propagation (1975) (35)
The Galerkin-averaging method for nonlinear, undamped continuous systems (1987) (33)
Theory and Applications of Singular Perturbations (1982) (31)
Asymptotic study of the macroscopic behaviour of a solid-fluid mixture (1980) (29)
Resonance in a Boundary Value Problem of Singular Perturbation Type (1973) (27)
Singular perturbations of homoclinic orbits in R 4 (1992) (27)
On modulation equations of the Ginzburg-Landau type (1992) (22)
New asymptotic expansion algorithm for singularly perturbed evolution equations (1981) (21)
Fundamental Concepts of Matching (1994) (18)
A Singularly Perturbed Free Boundary Problem Describing a Laser Sustained Plasma (1985) (15)
Formal Approximations and Singular Perturbations (1977) (15)
Pattern Formation in Systems with Slowly Varying Geometry (1997) (15)
Matching principles and composite expansions (1977) (15)
A Theory of Transonic Aileron Buzz, Neglecting Viscous Effects (1962) (12)
Trends in Applications of Mathematics to Mechanics (1988) (11)
Asymptotic analysis on large timescales for singular perturbations of hyperbolic type (1990) (9)
On water waves at Froude number slightly higher than one and Bond number less than 1/3 (1992) (7)
A generalized Lane-Emden-Fowler equation (1982) (7)
Quasilinear hyperbolic-hyperbolic singular perturbation problem: study of shock layer (1989) (6)
Asymptotic Solutions in Free Boundary Problems of Singularly Perturbed Elliptic Variational Inequalities (1978) (5)
Slowly-modulated two pulse solutions and pulse splitting bifurcations (1999) (3)
Plasma produced by a laser in a medium with convection and free surface satisfying a Hamiltonian-Jacobi equation (1987) (3)
On a class of elliptic singular perturbations with applications in population genetics (1978) (2)
Relative influence of two small parameters in non uniformly elliptic homogenization problems (1985) (2)
Asymptotic Theory of Periodic Solutions (1965) (2)
On the Stability of Periodic Solutions in Fluid Mechanics (1971) (2)
Multiple scales expansions for eddy current computation in layered media (1989) (2)
Existence and stability of travelling waves in fixed‐bed reactors (1989) (1)
Asymptotics of a rather unsual type in a free boundary problem (1987) (1)
Pattern formation in systems on spatially periodic domains (1995) (1)
A singular perturbation approach for a reaction diffusion system arising in nuclear reactor theory (1980) (1)
Theory and applications of singular perturbations : proceedings of a conference held in Oberwolfach, August 16-22, 1981 (1982) (1)
Quasi-periodic and homoclinic solutions of modulation equations / Proc. IUTAM-Symp. on Nonlinear Hydrodynamic Stability and Transition (1991) (1)
Attraction properties of the Ginzburg-Landau manifold (1994) (1)
Periodic Solutions in Poiseuille Flow (1965) (1)
Trends in applications of mathematics to mechanics : proceedings of the 7th Symposium, held in Wassenaar, The Netherlands, December 7-11, 1987 (1988) (0)
Behaviour of Solutions (1965) (0)
Linearized theory of lifting sweptback wings at sonic speed (Derivation of formulae) (1957) (0)
Exponentially Small Splitting of Homoclinic Orbits in a Water-Wave Problem (1993) (0)
Analysis of Some One-Dimensional Problems (1965) (0)
On Some Basic Concepts in the Analysis of Singular Perturbations (1980) (0)
Differential equations and applications : proceedings of the Third Scheveningen Conference on Differential Equations, the Netherlands, August 29-September 2, 1977 (1978) (0)
A Class of Problems in Two-Dimensional Space (1965) (0)
High Hartmann number flow through a rectangular duct with unequally and finitely conducting walls (1980) (0)
Stability of Periodic Solutions (1965) (0)
A note on two pulse solutions in the 1-D Gray-Scott model (2000) (0)
Asymptotic Methods for Problems in One-Dimensional Space (1965) (0)
Slowly-modulated two pulse solutions and pulse splittingbifurcationsArjen (1999) (0)
On the Asymptotic Theory of Non-Linear Oscillations. (1974) (0)
New developments in differential equations : Proceedings of the Second Scheveningen Conference on Differential Equations, the Netherlands, August 25-29, 1975 (1976) (0)

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