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Volumn 27, Issue 5, 1996, Pages 1386-1405

Regularity of the gain term and strong L1 convergence to equilibrium for the relativistic Boltzmann equation

Author keywords

Fourier integral operators; J ttner solution; Regularity; Relativistic Boltzmann equation; Stationary phase; Strong L1 convergence

Indexed keywords


EID: 0030522240     PISSN: 00361410     EISSN: None     Source Type: Journal    
DOI: 10.1137/0527076     Document Type: Article
Times cited : (49)

References (33)
  • 2
    • 0345784883 scopus 로고
    • On the Boltzmann equation in unbounded space far from equilibrium, and the limit of zero mean free path
    • L. ARKERYD, On the Boltzmann equation in unbounded space far from equilibrium, and the limit of zero mean free path, Comm. Math. Phys., 105 (1986), pp. 205-219.
    • (1986) Comm. Math. Phys. , vol.105 , pp. 205-219
    • Arkeryd, L.1
  • 3
    • 0039864157 scopus 로고
    • On the Enskog equation in two space variables
    • _, On the Enskog equation in two space variables, Transport. Theory Stat. Phys., 15 (1986), pp. 673-691.
    • (1986) Transport. Theory Stat. Phys. , vol.15 , pp. 673-691
  • 4
    • 0347046206 scopus 로고
    • The nonlinear Boltzmann equation far from equilibrium
    • Cambridge University Press, Cambridge, UK
    • _, The nonlinear Boltzmann equation far from equilibrium, in Nonstandard Analysis and Its Applications, Cambridge University Press, Cambridge, UK, 1988.
    • (1988) Nonstandard Analysis and Its Applications
  • 6
    • 84943150390 scopus 로고
    • 1 trend to equilibrium for the Boltzmann equation
    • 1 trend to equilibrium for the Boltzmann equation, Stud. Appl. Math., 87 (1992), pp. 283-288.
    • (1992) Stud. Appl. Math. , vol.87 , pp. 283-288
  • 11
    • 0009286552 scopus 로고
    • Bemerkungen über relativistische Stossinvarianten
    • K. BICHTELER, Bemerkungen über relativistische Stossinvarianten, Z. Physik, 182 (1965), pp. 521-523.
    • (1965) Z. Physik , vol.182 , pp. 521-523
    • Bichteler, K.1
  • 12
    • 0009148363 scopus 로고
    • Equilibrium distribution of the relativistic gas
    • N. A. CHERNIKOV, Equilibrium distribution of the relativistic gas, Acta Phys. Polon., 27 (1964), pp. 1069-1092.
    • (1964) Acta Phys. Polon. , vol.27 , pp. 1069-1092
    • Chernikov, N.A.1
  • 15
    • 0001485362 scopus 로고
    • Global existence proof for the relativistic Boltzmann equation
    • M. DUDYŃSKY AND M. EKIEL-JEŻEWSKA, Global existence proof for the relativistic Boltzmann equation, J. Stat. Phys., 66 (1992), pp. 991-1001.
    • (1992) J. Stat. Phys. , vol.66 , pp. 991-1001
    • Dudyńsky, M.1    Ekiel-Jezewska, M.2
  • 16
    • 0009301393 scopus 로고
    • The mathematical aspects of relativistic kinetic theory II: The summational invariants (A)
    • J. J. DIJKHTRA, The mathematical aspects of relativistic kinetic theory II: The summational invariants (A), Proc. Kon. Nederl. Akad. Wetensch., 81B (1978), pp. 265-275.
    • (1978) Proc. Kon. Nederl. Akad. Wetensch. , vol.81 B , pp. 265-275
    • Dijkhtra, J.J.1
  • 17
    • 0001089576 scopus 로고
    • On the Cauchy Problem for Boltzmann equations: Global existence and weak stability
    • R. DIPERNA AND P. L. LIONS. On the Cauchy Problem for Boltzmann equations: Global existence and weak stability, Ann. Math., 130 (1989), pp. 321-366.
    • (1989) Ann. Math. , vol.130 , pp. 321-366
    • Diperna, R.1    Lions, P.L.2
  • 18
    • 0002627660 scopus 로고
    • Global solutions of Boltzmann's equation and the entropy inequality
    • _, Global solutions of Boltzmann's equation and the entropy inequality, Arch. Rational Mech. Anal., 114 (1991), pp. 47-55.
    • (1991) Arch. Rational Mech. Anal. , vol.114 , pp. 47-55
  • 20
    • 0003061813 scopus 로고
    • On the derivatives of the collision map of relativistic particles
    • R. GLASSEY AND W. STRAUSS, On the derivatives of the collision map of relativistic particles, Transport Theory Stat. Phys., 20 (1991), pp. 55-68.
    • (1991) Transport Theory Stat. Phys. , vol.20 , pp. 55-68
    • Glassey, R.1    Strauss, W.2
  • 21
    • 85008039435 scopus 로고
    • Asymptotic stability of the relativistic equilibrium
    • _, Asymptotic stability of the relativistic equilibrium, Publ. Res. Inst. Math. Sci., 29 (1992), pp. 301-347.
    • (1992) Publ. Res. Inst. Math. Sci. , vol.29 , pp. 301-347
  • 22
    • 21844481340 scopus 로고
    • Asymptotic stability of the relativistic Maxwellian via fourteen moments
    • _, Asymptotic stability of the relativistic Maxwellian via fourteen moments, Transport Theory Stat. Phys., 24 (1995), pp. 657-678.
    • (1995) Transport Theory Stat. Phys. , vol.24 , pp. 657-678
  • 23
  • 24
    • 0002820858 scopus 로고
    • Fourier integral operators I
    • L. HÖRMANDER, Fourier integral operators I, Acta Math., 127 (1971), pp. 79-183.
    • (1971) Acta Math. , vol.127 , pp. 79-183
    • Hörmander, L.1
  • 29
    • 0000834860 scopus 로고
    • Compactness in Boltzmann's equation via Fourier integral operators and applications I
    • P. L. LIONS, Compactness in Boltzmann's equation via Fourier integral operators and applications I, J. Math. Kyoto Univ., 34 (1994), pp. 391-427.
    • (1994) J. Math. Kyoto Univ. , vol.34 , pp. 391-427
    • Lions, P.L.1
  • 30
    • 0001822894 scopus 로고
    • Sur l'établissement des équations de l'hydrodynamique des fluides relativistes dissipatifs I: L'équation de Boltzmann relativiste
    • C. MARLE, Sur l'établissement des équations de l'hydrodynamique des fluides relativistes dissipatifs I: L'équation de Boltzmann relativiste, Ann. Inst. Henri Poincaré, 10 (1969), pp. 67-126.
    • (1969) Ann. Inst. Henri Poincaré , vol.10 , pp. 67-126
    • Marle, C.1
  • 31
    • 0042166143 scopus 로고
    • Non-Equilibrium Relativistic Kinetic Theory
    • Springer-Verlag, Berlin
    • J. M. STEWART, Non-Equilibrium Relativistic Kinetic Theory, Lecture Notes in Phys. 10, Springer-Verlag, Berlin 1971.
    • (1971) Lecture Notes in Phys. , vol.10
    • Stewart, J.M.1
  • 33
    • 0001210972 scopus 로고
    • Regularity estimates for the Boltzmann equation
    • B. WENNBERG, Regularity estimates for the Boltzmann equation, Comm. Partial Differential Equations, 19 (1994), pp. 2057-2074.
    • (1994) Comm. Partial Differential Equations , vol.19 , pp. 2057-2074
    • Wennberg, B.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.