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Volumn 111, Issue 1, 2003, Pages 29-40

Rates of convergence to self-similar solutions of Burgers' equation

Author keywords

[No Author keywords available]

Indexed keywords

ASYMPTOTIC SOLUTIONS; BEHAVIOR OF SOLUTIONS; BURGER'S EQUATIONS; INITIAL CONDITIONS; LARGE TIME BEHAVIOR; LOCALISED; RATE OF CONVERGENCE; SELF-SIMILAR; SELF-SIMILAR SOLUTION; TEMPORAL AND SPATIAL;

EID: 21244502824     PISSN: 00222526     EISSN: None     Source Type: Journal    
DOI: 10.1111/1467-9590.t01-2-00226     Document Type: Article
Times cited : (18)

References (10)
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    • Asymptotic solution of a model nonlinear convection diffusion equation
    • R. E. GRUNDY, Asymptotic solution of a model nonlinear convection diffusion equation, IMA J. Appl. Math. 31:121-137 (1983).
    • (1983) IMA J. Appl. Math. , vol.31 , pp. 121-137
    • Grundy, R.E.1
  • 3
    • 21844485503 scopus 로고
    • Long-time effect of relaxation for hyperbolic conservation laws
    • I.-L. CHERN, Long-time effect of relaxation for hyperbolic conservation laws, Commun. Math. Phys. 172:39-55 (1995).
    • (1995) Commun. Math. Phys. , vol.172 , pp. 39-55
    • Chern, I.-L.1
  • 4
    • 0000170201 scopus 로고
    • Multiple-mode diffusion waves for viscous nonstrictly hyperbolic conservation laws
    • I.-L. CHERN, Multiple-mode diffusion waves for viscous nonstrictly hyperbolic conservation laws, Commun. Math. Phys. 138:51-61 (1991).
    • (1991) Commun. Math. Phys. , vol.138 , pp. 51-61
    • Chern, I.-L.1
  • 5
    • 0039657693 scopus 로고
    • Convergence to diffusion waves of solutions for viscous conservation laws
    • I.-L. CHERN and T.-P. Liu, Convergence to diffusion waves of solutions for viscous conservation laws, Commun. Math. Phys. 110:503-517 (1987).
    • (1987) Commun. Math. Phys. , vol.110 , pp. 503-517
    • Chern, I.-L.1    Liu, T.-P.2
  • 6
    • 0031513955 scopus 로고    scopus 로고
    • Long-time behavior for a convection-diffusion equation in higher dimensions
    • M. ESCOBEDO and E. ZUAZUA, Long-time behavior for a convection-diffusion equation in higher dimensions, SIAM J. Math. Anal. 28:570-594 (1997).
    • (1997) SIAM J. Math. Anal. , vol.28 , pp. 570-594
    • Escobedo, M.1    Zuazua, E.2
  • 7
    • 0002134025 scopus 로고
    • A dynamical system approach to the self-similar large time behavior in scalar convection-diffusion equations
    • E. ZUAZUA, A dynamical system approach to the self-similar large time behavior in scalar convection-diffusion equations, J. Differ. Equ. 108:1-35 (1994).
    • (1994) J. Differ. Equ. , vol.108 , pp. 1-35
    • Zuazua, E.1
  • 9
    • 84984066053 scopus 로고
    • Optimum one-term solutions for the heat conduction problems
    • G. KLEINSTEIN and L. TING, Optimum one-term solutions for the heat conduction problems, Z. Agnew. Math. Mech. 51:1-16 (1971).
    • (1971) Z. Agnew. Math. Mech. , vol.51 , pp. 1-16
    • Kleinstein, G.1    Ting, L.2
  • 10
    • 0006144178 scopus 로고    scopus 로고
    • Self-similar asymptotics for linear and nonlinear diffusion equations
    • T. P. WITELSKI and A. J. BERNOFF, Self-similar asymptotics for linear and nonlinear diffusion equations, Stud. Appl. Math. 100:153-193 (1998).
    • (1998) Stud. Appl. Math. , vol.100 , pp. 153-193
    • Witelski, T.P.1    Bernoff, A.J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.