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A Model for Scattering of Forward-Peaked Beams

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Computing Qualitatively Correct Approximations of Balance Laws

Part of the book series: SIMAI Springer Series ((SEMA SIMAI,volume 2))

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Abstract

This shorter chapter is devoted to the numerical study of a particular Fokker-Planck equation (also called Vlasov-Lorentz model in [7]),

$$ {\partial}_tf+v{\partial}_xf=\sigma \partial v\left(\left(1-{v}^2\right){\partial}_vf\right),f\left(t=0,x,v\right)={f}_0\left(x,v\right). $$

To fight this recession the Fed needs more than a snapback; it needs soaring household spending to offset moribund business investment. And to do that, Greenspan needs to create a housing bubble to replace the Nasdaq bubble.

Paul Krugman, The New York Times, August 2002

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Notes

  1. 1.

    Zero is excluded.

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  1. Istituto per le Applicazioni del Calcolo “Mauro Picone”, CNR, Rome, Italy

    Laurent Gosse

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  1. Laurent Gosse
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Gosse, L. (2013). A Model for Scattering of Forward-Peaked Beams. In: Computing Qualitatively Correct Approximations of Balance Laws. SIMAI Springer Series, vol 2. Springer, Milano. https://doi.org/10.1007/978-88-470-2892-0_13

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