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Weak solutions of the Boltzmann equation equation and energy conservation

✍ Scribed by C. Cercignani

Publisher
Elsevier Science
Year
1995
Tongue
English
Weight
432 KB
Volume
8
Category
Article
ISSN
0893-9659

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Errata: Weak solutions of the Boltzmann
Errata: Weak solutions of the Boltzmann equation and energy conservation
✍ C. Cercignani πŸ“‚ Article πŸ“… 1995 πŸ› Elsevier Science 🌐 English βš– 293 KB

In two recent papers, the author discussed inequalities which guarantee that both the gain and the loss term in the collision integral of the Boltzmann equation are in L 1 under a suitable truncation. Due to an oversight, the truncation indicated in the above-mentioned papers is not correct. A corre

Linear Boltzmann equation as the weak co
Linear Boltzmann equation as the weak coupling limit of a random SchrΓΆdinger equation
✍ LΓ‘szlΓ³ ErdΕ‘s; Horng-Tzer Yau πŸ“‚ Article πŸ“… 2000 πŸ› John Wiley and Sons 🌐 English βš– 392 KB πŸ‘ 1 views

We study the time evolution of a quantum particle in a Gaussian random environment. We show that in the weak coupling limit the Wigner distribution of the wave function converges to a solution of a linear Boltzmann equation globally in time. The Boltzmann collision kernel is given by the Born approx