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  • An Introduction to Sobolev Spaces and Interpolation Spacesby Luc Tartar

    Springer Berlin Heidelberg 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...

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

    Springer Berlin Heidelberg 2006; US$ 59.95

    In the spring of 1999, I taught (at CARNEGIEMELLON University) a graduate course entitled Partial Di?erential Equations Models in Oceanography, and I wrote lecture notes which I distributed to the students; these notes were then made available on the Internet, and they were distributed to the participants of a Summer School held in Lisbon, Portugal,... more...

  • From Hyperbolic Systems to Kinetic Theoryby Luc Tartar

    Springer Berlin Heidelberg 2008; US$ 79.95

    Equations of state are not always effective in continuum mechanics. Maxwell and Boltzmann created a kinetic theory of gases, using classical mechanics. How could they derive the irreversible Boltzmann equation from a reversible Hamiltonian framework? By using probabilities, which destroy physical reality! Forces at distance are non-physical as we... more...

  • The General Theory of Homogenizationby Luc Tartar

    Springer Berlin Heidelberg 2009; US$ 89.95

    Homogenization is not about periodicity, or Gamma-convergence, but about understanding which effective equations to use at macroscopic level. New mathematical tools must be introduced, like the H-measures discussed here, for a better understanding. more...

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