By Russel E. Caflisch, Suneal Chaudhary (auth.), Dan Givoli, Marcus J. Grote, George C. Papanicolaou (eds.)
ThisvolumecelebratestheeightiethbirthdayofJosephB. Keller. The authors who contributed to this quantity belong to what may be referred to as the “Keller university of utilized arithmetic. ” they're former scholars, postdoctoral fellows and vacationing scientists who've collaborated with Joe (some of them nonetheless do) in the course of his lengthy occupation. all of them examine Joe as their final (role) version. JoeKeller’sdistinguishedcareerhasbeendividedbetweentheCourant Institute of Mathematical Sciences at big apple college, the place he got all his levels (his PhD adviser being the good R. Courant himself) and served as a professor for 30 years, and Stanford collage, the place he has been for the reason that 1978. The appended photographs spotlight a few scenes from the outdated days. those that understand Joe Keller’s paintings were consistently surprised via its variety and breadth. it's thought of a widely known fact that there's no longer a unmarried very important region in utilized arithmetic or physics which Keller didn't give a contribution to. this is often favored, for instance, via glancing via his record of ebook integrated during this quantity. App- priately, the papers during this booklet, written with Joe’s thought, disguise numerous program parts; jointly they span the wide topic of mathematical modeling. The versions mentioned within the e-book describe the habit of varied platforms resembling these regarding ?nance, waves, - croorganisms, shocks, DNA, ?ames, touch, optics, ?uids, bubbles and jets. Joe’s job contains many extra components, which regrettably will not be represented here.
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Extra info for A Celebration of Mathematical Modeling: The Joseph B. Keller Anniversary Volume
Monthly, 416–421, (May) 2000. Singularities and Rayleigh’s hypothesis for diﬀraction gratings, J. Optical Soc. Amer. A 17, 456–457, 2000. xxxvii Merging and wetting driven by surface tension, (with P. -M. Vanden-Broeck), Eur. J. Mech. B – Fluids, 19, 491–502, 2000. A hyperbolic equation for turbulent diﬀusion (with S. Ghosal), Nonlinearity, 13, 1855–1866, 2000. Rate of convergence to a stable law, (with R. Kuske), SIAM J. Appl. , 61, 1308–1323, 2000. Weak diﬀracted shocks near singular rays, (with L.
5, 101–123 (2002). Power laws for turbulent boundary layer ﬂow, Phys. Fluids, 14, L89– L89 (2002). , 489, 345–348 (2003). What a song can do (Steven Blier and NYFOS), Opera News, 67, 12–13 (2003). Minimum dissipation rate ﬂow with given ﬂux, J. , 480, 61–63 (2003). Charge density on a slender axially symmetric conducting body, Am. J. , 71, 282–282 (2003). D. Kim), J. Opt. Soc. , A20, 92–98 (2003). Circa 1982-1985 Joe and G. Papanicolaou (1973) Joe and J. Glimm (1971) Joe and H. Grad (1972) Joe (1966) Joe Keller the Sportsman and Traveler xxxix MONTE CARLO SIMULATION FOR AMERICAN OPTIONS Russel E.
Joe’s work led to the notions of what are now called the Keller-Maslov index and Keller-Maslov line bundle, notions that arise in the global theory for FIOs. FIOs are currently being applied to imaging problems in geophysics and in synthetic aperture radar . Some areas for research Dispersion. An important area in which there is little mathematical work is the study of wave propagation in dispersive media. A medium is dispersive if the speed of wave propagation depends on the frequency of the wave.
A Celebration of Mathematical Modeling: The Joseph B. Keller Anniversary Volume by Russel E. Caflisch, Suneal Chaudhary (auth.), Dan Givoli, Marcus J. Grote, George C. Papanicolaou (eds.)