Theory of chromatography. VII. The general theory of two solutes following non-linear isotherms

1949 ◽  
Vol 7 ◽  
pp. 12 ◽  
Author(s):  
E. Glueckauf
Author(s):  
P. B. Chapman

AbstractA general theory is given for autonomous perturbations of non-linear autonomous second order oscillators. It is found using a multiple scales method. A central part of it requires computation of Fourier coefficients for representation of the underlying oscillations, and these coefficients are found as convergent expansions in a suitable parameter.


1996 ◽  
Vol 477 (1) ◽  
pp. 203-270 ◽  
Author(s):  
Tereza Mendes ◽  
Andrea Pelissetto ◽  
Alan D. Sokal

1957 ◽  
Vol 3 (3) ◽  
pp. 123-131 ◽  
Author(s):  
Martin Glatfeld

Recently H.-E. Richert [10] introduced a new method of summability, for which he completely solved the “summability problem” for Dirichlet series, and which led also to an extension of our knowledge of the relations between the abscissae of ordinary and absolute Rieszian summability. This non-linear method, which may best be characterized by the notion “strong Rieszian summability” †, depends on three parameters, on the order k;, the type λ, and the index p;. While Richert's paper deals almost exclusively with the application of that method of summability in a specialized form (namely the case p = 2, λn=log n) to Dirichlet series, it is the object of the present paper, to consider the general theory of strong Rieszian summability.


1975 ◽  
Vol 77 (3) ◽  
pp. 559-565 ◽  
Author(s):  
J. B. Griffiths

AbstractThe nature of the non-linear interaction between two gravitational waves in the general theory of relativity is considered. A new exact solution of the vacuum field equations describing this case is given. It describes two gravitational waves with both transverse and longitudinal components, propagating in opposite directions along ‘shearing’ and ‘twisting’ geodesic congruences with zero contraction


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