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1

Vedenyapin, Victor. Kinetic Boltzmann, Vlasov and related equations. Elsevier Science, 2011.

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2

McKenney, Alan Michael. The drift-kinetic model in the long-thin approximation. Courant Institute of Mathematical Sciences, New York University, 1986.

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3

McKenney, Alan Michael. The drift-kinetic model in the long-thin approximation. Courant Institute of Mathematical Sciences, New York University, 1986.

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4

Colombo, Maria. Flows of Non-smooth Vector Fields and Degenerate Elliptic Equations: With Applications to the Vlasov-Poisson and Semigeostrophic Systems. Scuola Normale Superiore, 2017.

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5

Deruelle, Nathalie, and Jean-Philippe Uzan. Kinetic theory. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198786399.003.0010.

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This chapter covers the equations governing the evolution of particle distribution and relates the macroscopic thermodynamical quantities to the distribution function. The motion of N particles is governed by 6N equations of motion of first order in time, written in either Hamiltonian form or in terms of Poisson brackets. Thus, as this chapter shows, as the number of particles grows it becomes necessary to resort to a statistical description. The chapter first introduces the Liouville equation, which states the conservation of the probability density, before turning to the Boltzmann–Vlasov equ
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6

Bertrand, Pierre, Daniele Del Sarto, and Alain Ghizzo. Vlasov Equation 1: History and General Properties. Wiley & Sons, Incorporated, John, 2019.

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Bertrand, Pierre, Daniele Del Sarto, and Alain Ghizzo. Vlasov Equation 1: History and General Properties. Wiley & Sons, Incorporated, John, 2019.

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Bertrand, Pierre, Daniele Del Sarto, and Alain Ghizzo. Vlasov Equation 1: History and General Properties. Wiley & Sons, Incorporated, John, 2019.

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Bertrand, Pierre, Daniele Del Sarto, and Alain Ghizzo. Vlasov Equation 1: History and General Properties. Wiley & Sons, Incorporated, John, 2019.

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10

Kinetic Boltzmann, Vlasov and Related Equations. Elsevier, 2011. http://dx.doi.org/10.1016/c2011-0-00134-5.

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11

Vedenyapin, Victor, Alexander Sinitsyn, and Eugene Dulov. Kinetic Boltzmann, Vlasov and Related Equations. Elsevier, 2011.

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12

Vedenyapin, Victor, Alexander Sinitsyn, and Eugene Dulov. Kinetic Boltzmann, Vlasov and Related Equations. Elsevier, 2011.

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13

Existence and Uniqueness Theory of the Vlasov Equation. Franklin Classics, 2018.

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14

Existence and Uniqueness Theory of the Vlasov Equation. Creative Media Partners, LLC, 2018.

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15

Existence and Uniqueness Theory of the Vlasov Equation. Creative Media Partners, LLC, 2023.

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16

From the Vlasov-Maxwell-Boltzmann System to Incompressible Viscous Electro-Magneto-Hydrodynamics. American Mathematical Society, 2019.

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17

Colombo, Maria. Flows of Non-Smooth Vector Fields and Degenerate Elliptic Equations: With Applications to the Vlasov-Poisson and Semigeostrophic Systems. Edizioni della Normale, 2018.

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