Analytical solution of the velocity-slip and diffuslon-slip problems by a cauchy integral method

References

• Latyshev , A. V. Dr. Moscow, , USSR : Moscow Pedagogical Institute . ul. Radio 10-A
   Google Scholar
• Frisch , H. and Frisch , U. 1982 . J. Quant. Spectrosc. Radiative Transfer , 28 : 361
   Google Scholar
• Frisch , H. 1988 . J. Quant. Spectrosc. Radiat. Transf , 39 : 149
   Google Scholar
• Kogan , M. N. 1969 . Rarefied Gas Dynamics , New-York : Plenum Press .
   Google Scholar
• Cercignani , C. 1969 . Mathematical Methods in Kinetic Theory , New-York : Plenum Press .
   Google Scholar
• Cercignani , C. 1975 . The Theory and Application of the Boltzmann Equation , New-York : Elsevier .
   Google Scholar
• Ferziger , J. H. and Kaper , H. G. 1972 . Mathematical Theory of Transport Processes in Gases , Amsterdam : North-Holland .
   Google Scholar
• Chapman , S. and Cowling , T. G. 1960 . The Mathematical Theory of Non-uniform , Gases : Cambridge University Press .
   Google Scholar
• Case , K. M. and Zweifel , P. F. 1967 . Linear Transport Theory , Reading, Mass : Addison-Wesley .
   Google Scholar
• Larsen , E. W. and Keller , J. B. 1974 . J. Math. Phys , 15 : 75
   Web of Science ®Google Scholar
• Frisch , H. and Faurobert , M. 1983 . Astron. Astrophys , 140 : 57
   Google Scholar
• Bardos , C. , Santos , R. and Sentis , R. 1984 . Trans. Am. Math. Soc , 284 : 617
   Web of Science ®Google Scholar
• Caflisch , R. E. 1983 . Nonequilibrium Phenomena I. The Boltzmann Equation , Edited by: Montroll , E. and Lebovitz , J. 193 Amsterdam : North-Holland .
   Google Scholar
• Welander , P. 1954 . Arkiv. Fys , 7 : 507
   Web of Science ®Google Scholar
• Bhatnagar , P. , Gross , E. and Krook , M. 1954 . Phys. Rev , 94 : 511
   Web of Science ®Google Scholar
• Cercignani , C. 1962 . Ann. Phys. (N.Y.) , 20 : 219
   Web of Science ®Google Scholar
• Case , K. M. 1960 . Ann. Phys. (N.Y.) , 9 : 1
   Web of Science ®Google Scholar
• Willis , D. R. 1962 . Phys. Fluids , 5 : 127
   Web of Science ®Google Scholar
• Bowden , R. L. and Garbanati , L. F. 1978 . Trans. Theory and Stat. Phys , 7 : 1
   Google Scholar
• Yalamov , Yu. I. , Ivchenko , I. N. and Deryagin , B. V. 1968 . Sov. Phys. Dokl , 13 : 446
   Google Scholar
• Lang , H. and Loyalka , S. K. 1970 . Phys. Fluids , 13 : 1871
   Google Scholar
• Yalamov , Yu. I. , Latyshev , A. V. and Manucharyan , G. A. 1983 . : l Dep. VINITI 7050–83
   Google Scholar
• Wiener , N. and Hopf , E. 1931 . Sitzungsher. preuss. Akad. Wiss. 696
   Google Scholar
• Morse , P. M. and Fesbach , H. 1953 . Methods of Theoretical Physics , New York : MacGraw-Hill .
   Google Scholar
• Wiener , N. 1949 . Extrapolation, Interpolation and Smoothing of Stationary Time , Series Cambridge, Mass. : The MIT Press . Appendix by N. Levinson
   Google Scholar
• Krein , M. G. 1963 . Am. Math. Soc. Transl , 22 ( 2 ) : 163
   Google Scholar
• Muskhelishvili , N. I. 1953 . Singular Integral Equations , Groningen : Nordhoff .
   Google Scholar
• Noble , B. 1958 . Methods Based on the Wiener-Hopf Technique , Oxford : Pergamon Press .
   Google Scholar
• Carrier , G. F. , Krook , M. and Pearson , C. E. 1966 . Functions of a omplex Variable , New-York : McGraw Hill .
   Google Scholar
• Duderstadt , J. J. and Martin , W. R. 1979 . Transport Theory , New York : Wiley and Sons .
   Google Scholar
• Pao , Y-P. 1971 . Phys. Fluids , 14 : 2285
   Google Scholar
• Latyshev , A. V. , Manucharyan , G. A. and Yalamov , Yu. I. 1985 . Sov. Phys. Dokl , 30 : 763
   Google Scholar
• Cole , J. D. 1968 . Perturbations Methods in Applied Mathematics , Waltham, Mass : Blaisdell .
   Google Scholar
• Bender , C. M. and Orszag , S. O. 1978 . Advanced Mathematical Methods for Scientists and Engineers , McGraw-Hill .
   Google Scholar
• Cercignani , C. 1965 . J. Math. Anal. Appl , 10 : 568
   Google Scholar
• Albertoni , S. , Cercignani , C. and Gotusso , L. 1963 . Phys. Fluids , 6 : 993
   Web of Science ®Google Scholar
• Loyalka , K. and Fersiger , J. H. 1967 . Phys. Fluids , 10 : 1833
   Web of Science ®Google Scholar
• Latyshev , A. V. 1986 . : 49 Dep. VINITI 5321–B86
   Google Scholar
• Cercignani , C. 1966 . Ann. Phys. (N.Y.) , 40 : 469
   Google Scholar
• Williams , M. M. R. 1969 . J. Fluid Mech , 36 : 145
   Web of Science ®Google Scholar
• Loyalka , S. K. 1975 . Phys. Fluids , 18 : 1666
   Google Scholar
• Cercignani , C. 1976 . Rarefied Gas Dynamics , 10th Symposium Edited by: Potter , J. 795 New-York : Am. Inst. Aero. Astro. . Publication of the
   Google Scholar
• Cercignani , C. 1977 . Trans. Theory and Stat. Phys , 6 : 29
   Web of Science ®Google Scholar
• Siewert , C. E. , Kelley , C. T. and Garcia , R. D. M. 1981 . J. Math. Anal. Applic , 84 : 509
   Google Scholar
• Aoki , K. and Cercignani , C. 1985 . J. Appl. Math. Phys. (ZAMP) , 36 : 61
   Google Scholar
• Aoki , K. and Cercignani , C. 1984 . J. Appl. Math. Phys , 35 : 127
   Web of Science ®Google Scholar
• Loyalka , S. K. , Petrellis , N. and Storvick , T. S. 1975 . Phys. Fluids , 18 : 1094
   Web of Science ®Google Scholar