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  • From Hyperbolic Systems to Kinetic Theoryby Luc Tartar

    Springer 2008; US$ 79.95

    Maxwell and Boltzmann created a kinetic theory of gases, using classical mechanics. This work examines modes used by energy, proves which equation governs each mode, and conjectures that the result may not look like the Boltzmann equation, and there can be more modes than those indexed by velocity. more...

  • The General Theory of Homogenizationby Luc Tartar

    Springer 2009; US$ 89.95

    Homogenization is not about periodicity, or Gamma-convergence, but about understanding which effective equations to use at macroscopic level, knowing which partial differential equations govern mesoscopic levels, without using probabilities (which destroy physical reality); instead, one uses various topologies of weak type, the G-convergence of Sergio... more...

  • An Introduction to Navier'Stokes Equation and Oceanographyby Luc Tartar

    Springer-Verlag Berlin and Heidelberg GmbH & Co. KG 2006; US$ 59.95

    Corresponds to a graduate course in mathematics, taught at Carnegie Mellon University in the spring of 1999. This course aims to show that the creation of scientific knowledge is an international enterprise, and who contributed to it, from where, and when. more...

  • An Introduction to Sobolev Spaces and Interpolation Spacesby Luc Tartar

    Springer-Verlag Berlin and Heidelberg GmbH & Co. KG 2007; US$ 69.95

    After publishing an introduction to the Navier???Stokes equation and oceanography (Vol. 1 of this series), Luc Tartar follows with another set of lecture notes based on a graduate course in two parts, as indicated by the title. A draft has been available on the internet for a few years. The author has now revised and polished it into a text accessible... more...

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