Abstract
Application of velocity averaging techniques to prove existence theorems for the solution of various kinetic equations is surveyed. This approach is exploited to obtain the first existence result for the kinetic equation of Bhatnagar-Gross-Krook.
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This paper is dedicated to Israel Gohberg on the occasion of his 60th birthday. His contributions in analysis have benefitted all of the mathematical sciences.
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© 1989 Birkhäuser Verlag Basel
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Greenberg, W., Polewczak, J. (1989). Averaging Techniques for the Transport Operator and an Existence Theorem for the BGK Equation in Kinetic Theory. In: Dym, H., Goldberg, S., Kaashoek, M.A., Lancaster, P. (eds) The Gohberg Anniversary Collection. Operator Theory: Advances and Applications, vol 40/41. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-9144-8_32
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DOI: https://doi.org/10.1007/978-3-0348-9144-8_32
Publisher Name: Birkhäuser, Basel
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