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From Kinetic to Fluid Dynamical Models

In: Semiconductor Equations

Author

Listed:
  • Peter A. Markowich

    (Technische Universität Berlin, Fachbereich Mathematik)

  • Christian A. Ringhofer

    (Arizona State University, Department of Mathematics)

  • Christian Schmeiser

    (Technische Universität Wien, Institut für Angewandte und Numerische Mathematik)

Abstract

Different approaches to the solution of the kinetic transport models discussed in Chapter 1 are possible. Although several promising attempts towards a numerical solution have been undertaken in the recent past (we only mention particle methods [2.10] and spectral methods [2.13]), the application of numerical methods remains to be a formidable task in general. Apart from that, solutions of the kinetic equations contain in many cases (e.g. close to equilibrium) a good deal of redundant information.

Suggested Citation

  • Peter A. Markowich & Christian A. Ringhofer & Christian Schmeiser, 1990. "From Kinetic to Fluid Dynamical Models," Springer Books, in: Semiconductor Equations, chapter 2, pages 83-103, Springer.
    • Handle: RePEc:spr:sprchp:978-3-7091-6961-2_3
    DOI: 10.1007/978-3-7091-6961-2_3
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