Landau kinetic equation

The Landau kinetic equation is a transport equation of weakly coupled charged particles performing Coulomb collisions in a plasma.

The equation was derived by Lev Landau in 1936^[1] as an alternative to the Boltzmann equation in the case of Coulomb interaction. When used with the Vlasov equation, the equation yields the time evolution for collisional plasma, hence it is considered a staple kinetic model in the theory of collisional plasma. ^[2]^[3]

^ Landau, L.D. (1936). "Kinetic equation for the case of coulomb interaction". Phys. Z. Sowjetunion. 10: 154–164.
^ Bobylev, Alexander (2015). "On some properties of the landau kinetic equation". Journal of Statistical Physics. 161 (6): 1327. Bibcode:2015JSP...161.1327B. doi:10.1007/s10955-015-1311-0. S2CID 39781.
^ Robert M. Strain, Maja Tasković (2019). "Entropy dissipation estimates for the relativistic Landau equation, and applications". Journal of Functional Analysis. 277 (4): 1139–1201. arXiv:1806.08720. doi:10.1016/j.jfa.2019.04.007. S2CID 119323748.

[:0-1] Landau, L.D. (1936). "Kinetic equation for the case of coulomb interaction". Phys. Z. Sowjetunion. 10: 154–164.

[:1-2] Bobylev, Alexander (2015). "On some properties of the landau kinetic equation". Journal of Statistical Physics. 161 (6): 1327. Bibcode:2015JSP...161.1327B. doi:10.1007/s10955-015-1311-0. S2CID 39781.

[:2-3] Robert M. Strain, Maja Tasković (2019). "Entropy dissipation estimates for the relativistic Landau equation, and applications". Journal of Functional Analysis. 277 (4): 1139–1201. arXiv:1806.08720. doi:10.1016/j.jfa.2019.04.007. S2CID 119323748.

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