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Travelling Waves in Nonlinear Diffusion-Convection Reaction (Hardcover, 2004 ed.)
Loot Price: R2,884
Discovery Miles 28 840
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Travelling Waves in Nonlinear Diffusion-Convection Reaction (Hardcover, 2004 ed.)
Series: Progress in Nonlinear Differential Equations and Their Applications, 60
Expected to ship within 10 - 15 working days
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This monograph has grown out of research we started in 1987,
although the foun dations were laid in the 1970's when both of us
were working on our doctoral theses, trying to generalize the now
classic paper of Oleinik, Kalashnikov and Chzhou on nonlinear
degenerate diffusion. Brian worked under the guidance of Bert
Peletier at the University of Sussex in Brighton, England, and,
later at Delft University of Technology in the Netherlands on
extending the earlier mathematics to include nonlinear convection;
while Robert worked at Lomonosov State Univer sity in Moscow under
the supervision of Anatolii Kalashnikov on generalizing the earlier
mathematics to include nonlinear absorption. We first met at a
conference held in Rome in 1985. In 1987 we met again in Madrid at
the invitation of Ildefonso Diaz, where we were both staying at 'La
Residencia'. As providence would have it, the University
'Complutense' closed down during this visit in response to student
demonstra tions, and, we were very much left to our own devices. It
was natural that we should gravitate to a research topic of common
interest. This turned out to be the characterization of the
phenomenon of finite speed of propagation for nonlin ear
reaction-convection-diffusion equations. Brian had just completed
some work on this topic for nonlinear diffusion-convection, while
Robert had earlier done the same for nonlinear
diffusion-absorption. There was no question but that we bundle our
efforts on the general situation.
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