b) Kinetic Boundary Value Problems



210 N. Ben Abdallah, H. Chaker: "The high field asymptotics for degenerate semiconductors: Initial and boundary layer analysis",
2001.
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298 N. Ben Abdallah, J. Dolbeault: "Relative Entropies For Kinetic Equations In Bounded Domains ( irreversibility, stationary solutions, uniqueness)",
C. R. Acad. Sci. Paris Sér. I Math. 330(10), 867--872, 2000.
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359 N. Ben Abdallah, I. Gamba, A. Klar: "The Milne problem for high field kinetic semiconductor equations",
submitted, 2002.
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360 N. Ben Abdallah, M.L. Tayeb: "Diffusion Approximation for the one dimensional Boltzmann-Poisson system",
C. R. Acad. Sci. Paris Sér. I Math. 329(8), 735--740, 1999.
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296 L. Arkeryd: "A discussion of some recent results on stationary boundary value problems for equations of Boltzmann type",
2001.
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20 L. Arkeryd, A. Nouri: "L1 solutions to the stationary Boltzmann equation in a slab." Ann. Math. Toul. 6, 2000. ps (0.6 MB)
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88 L. Arkeryd, A. Nouri: "On the Milne problem and the hydrodynamic limit for a steady Boltzman equation model",
J. Stat.Phys. 99, 993-1018.
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194 L. Arkeryd, A. Nouri: "The stationary Boltzmann equation in Rn with given indata",
to appear in "Annali della Scuola Normale Superiori di Pisa Classe di Scienze", 2002.
ps (0.6 MB)
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19 L. Arkeryd, A. Nouri: "The stationary Boltzmann equation in the slab with given weighted mass for hard and soft forces",
Ann. Scuola Norm. Sup. Pisa 27, 533-566, 1999.
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41 A. Arnold, H. Lange, P.F. Zweifel: "A discrete-velocity, stationary Wigner equation,"
J. Math. Phys. 41(11), 7167-7180, 2000.
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300 F. Berthelin, F. Bouchut: "Weak entropy boundary conditions for isentropic gas dynamics via kinetic relaxation",
2001.
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64 C. Cercignani, R. Marra, R. Esposito: "The Milne problem with a force term",
Transp. Th. Stat. Phys., 27:1-34, 1998.
ps (1.1 MB)
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147 P. Degond, S. Mancini: "Diffusion driven by collisions with the boundary",
Asymptotic Analysis, 27, 47-73, 2001.
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161 A. Heintz: "On the possibility of kinetic flow through holes in a surface",
2000.
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158 A.I. Khisamutdinov, A. Heintz: "Numerical experiment for unsteady motions of a rarefied gas caused by initially non-equilibrium states and nonuniform boundary conditions",
2000.
ps (n/a)
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307 B. Lucquin-Desreux: "The Milne problem for the linear Fokker-Planck operator with a force term",
2001.
ps (0.6 MB)
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221 S. Mischler: "Kinetic equations with Maxwell boundary condition",
2001.
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220 S. Mischler: "On the initial boundary value problem for the Vlasov-Poisson-Boltzmann system",
2001.
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219 S. Mischler: "On the trace problem for solutions of the Vlasov equation",
2001.
ps (0.3 MB)
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154 V. Panferov: "On the Existence of Stationary Solutions to the Povzner Equation in a Bounded Domain",
2000.
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108 F. Salvarani: "Diffusion Limits for the Initial-Boundary Value Problem of the Goldstein-Taylor Model",
1999.
ps (0.2 MB)
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