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Volumn 27, Issue 18, 2004, Pages 2231-2240

On blowup for gain-term-only classical and relativistic Boltzmann equations

Author keywords

Blowup; Boltzmann equation; Relativistic boltzmann equation

Indexed keywords

ERROR ANALYSIS; INVARIANCE; ITERATIVE METHODS; THEOREM PROVING; VACUUM; VELOCITY;

EID: 10044233885     PISSN: 01704214     EISSN: None     Source Type: Journal    
DOI: 10.1002/mma.555     Document Type: Article
Times cited : (27)

References (16)
  • 1
    • 34250139505 scopus 로고
    • The Boltzmann equation: Global existence for a rare gas in an infinite vacuum
    • Illner R, Shinbrot M. The Boltzmann equation: global existence for a rare gas in an infinite vacuum. Communications in Mathematical Physics 1984; 95:217-226.
    • (1984) Communications in Mathematical Physics , vol.95 , pp. 217-226
    • Illner, R.1    Shinbrot, M.2
  • 3
    • 0007219031 scopus 로고
    • On the Cauchy problem for the nonlinear Boltzmann equation, Global existence, uniqueness and asymptotic stability
    • Bellomo N, Toscani G. On the Cauchy problem for the nonlinear Boltzmann equation, Global existence, uniqueness and asymptotic stability. Journal of Mathematical Physics 1985; 26:334-338.
    • (1985) Journal of Mathematical Physics , vol.26 , pp. 334-338
    • Bellomo, N.1    Toscani, G.2
  • 7
    • 0031488084 scopus 로고    scopus 로고
    • Boltzmann equation with infinite energy: Renormalized solutions and distributional solutions for small initial data and initial data close to a Maxwellian
    • Mischler S, Perthame B. Boltzmann equation with infinite energy: renormalized solutions and distributional solutions for small initial data and initial data close to a Maxwellian. SIAM Journal on Mathematical Analysis 1997; 28:1015-1027.
    • (1997) SIAM Journal on Mathematical Analysis , vol.28 , pp. 1015-1027
    • Mischler, S.1    Perthame, B.2
  • 8
    • 0003840403 scopus 로고    scopus 로고
    • On the singularities of the global small solutions of the full Boltzmann equation
    • Boudin L, Desvillettes L. On the singularities of the global small solutions of the full Boltzmann equation. Monatshefte fur Mathematik 2000; 131:91-108.
    • (2000) Monatshefte fur Mathematik , vol.131 , pp. 91-108
    • Boudin, L.1    Desvillettes, L.2
  • 9
    • 0010779892 scopus 로고
    • Some existence theorems for semilinear hyperbolic systems in one space variable
    • Madison
    • Tartar L. Some existence theorems for semilinear hyperbolic systems in one space variable. MRC Technical Summary Report, Madison, 1980.
    • (1980) MRC Technical Summary Report
    • Tartar, L.1
  • 14
    • 21844481340 scopus 로고
    • Asymptotic stability of the relativistic Maxwellian via fourteen moments
    • Glassey RT, Strauss WA. Asymptotic stability of the relativistic Maxwellian via fourteen moments. Transport Theory and Statistical Physics 1995; 24:657-678.
    • (1995) Transport Theory and Statistical Physics , vol.24 , pp. 657-678
    • Glassey, R.T.1    Strauss, W.A.2
  • 15
    • 0001007347 scopus 로고
    • On the Cauchy problem of the relativistic Boltzmann equation
    • Bichteler K. On the Cauchy problem of the relativistic Boltzmann equation. Communications in Mathematical Physics 1967; 4:352-364.
    • (1967) Communications in Mathematical Physics , vol.4 , pp. 352-364
    • Bichteler, K.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.