메뉴 건너뛰기




Volumn 249, Issue 1, 2004, Pages 1-27

Derivation of the leroux system as the hydrodynamic limit of a two-component lattice gas

Author keywords

[No Author keywords available]

Indexed keywords


EID: 3543029206     PISSN: 00103616     EISSN: None     Source Type: Journal    
DOI: 10.1007/S00220-004-1103-x     Document Type: Article
Times cited : (45)

References (26)
  • 1
    • 0013333311 scopus 로고    scopus 로고
    • Hyperbolic systems of conservation laws: The one dimensional cauchy problem
    • Oxford: Oxford Univ. Press
    • Bressan, A.: Hyperbolic Systems of Conservation Laws: The One Dimensional Cauchy Problem. Oxford Lecture Series in Math. Appl. 20. Oxford: Oxford Univ. Press, 2000
    • (2000) Oxford Lecture Series in Math. Appl. , vol.20
    • Bressan, A.1
  • 2
    • 0020499710 scopus 로고
    • Convergence of approximate solutions to conservation laws
    • DiPerna, R.J.: Convergence of approximate solutions to conservation laws. Arch. Rat. Mech. Anal. 82, 27-70 (1983)
    • (1983) Arch. Rat. Mech. Anal. , vol.82 , pp. 27-70
    • DiPerna, R.J.1
  • 4
    • 0346704388 scopus 로고    scopus 로고
    • An introduction to the theory of hydrodynamlc limits
    • Graduate School of Mathematics, Univ. Tokyo
    • Fritz, J.: An Introduction to the Theory of Hydrodynamlc Limits. Lectures in Mathematical Sciences 18. Graduate School of Mathematics, Univ. Tokyo, 2001
    • (2001) Lectures in Mathematical Sciences , vol.18
    • Fritz, J.1
  • 5
    • 3543012422 scopus 로고    scopus 로고
    • Entropy pairs and compensated compactness for weakly asymmetric systems
    • Fritz, J.: Entropy pairs and compensated compactness for weakly asymmetric systems. Advanced Studies in Pure Mathematics 39, 143-172 (2004)
    • (2004) Advanced Studies in Pure Mathematics , vol.39 , pp. 143-172
    • Fritz, J.1
  • 6
    • 3543023140 scopus 로고    scopus 로고
    • Fritz, J., Tóth, B.: In preparation, 2003
    • Fritz, J., Tóth, B.: In preparation, 2003
  • 7
    • 0003078083 scopus 로고
    • Nonlinear diffusion limit for a system with nearest neighbour interactions
    • Guo, M.Z., Papanicolaou, G.C., Varadhan, S.R.S.: Nonlinear diffusion limit for a system with nearest neighbour interactions. Commun. Math. Phys. 118, 31-59 (1988)
    • (1988) Commun. Math. Phys. , vol.118 , pp. 31-59
    • Guo, M.Z.1    Papanicolaou, G.C.2    Varadhan, S.R.S.3
  • 8
    • 0003364279 scopus 로고
    • Partial differential equations
    • New York-Heidelberg-Berlin: Springer
    • John, F.: Partial Differential Equations. Applied Mathematical Sciences, Vol. 1, New York-Heidelberg-Berlin: Springer, 1971
    • (1971) Applied Mathematical Sciences , vol.1
    • John, F.1
  • 10
    • 0002950929 scopus 로고
    • Shock waves and entropy
    • ed. E.A. Zarantonello. London-New York: Academic Press
    • Lax, P.: Shock waves and entropy. In: Contributions to Nonlinear Functional Analysis, ed. E.A. Zarantonello. London-New York: Academic Press, 1971, pp. 606-634
    • (1971) Contributions to Nonlinear Functional Analysis , pp. 606-634
    • Lax, P.1
  • 12
    • 0032237851 scopus 로고    scopus 로고
    • Logarithmic Sobolev inequality for some models of random walks
    • Lee, T.-Y., Yau, H.-T.: Logarithmic Sobolev inequality for some models of random walks. Ann. Probab. 26, 1855-1873 (1998)
    • (1998) Ann. Probab. , vol.26 , pp. 1855-1873
    • Lee, T.-Y.1    Yau, H.-T.2
  • 14
    • 21344483632 scopus 로고
    • Hydrodynamic limit for a Hamiltonian system with weak noise
    • Olla, S., Varadhan, S.R.S., Yau, H.-T.: Hydrodynamic limit for a Hamiltonian system with weak noise. Commun. Math. Phys. 155, 523-560 (1993)
    • (1993) Commun. Math. Phys. , vol.155 , pp. 523-560
    • Olla, S.1    Varadhan, S.R.S.2    Yau, H.-T.3
  • 15
    • 0032334703 scopus 로고    scopus 로고
    • Lattice gases, large deviations, and the incompressible navier-stokes equation
    • Quastel, J., Yau, H.-T.: Lattice gases, large deviations, and the incompressible Navier-Stokes equation. Ann. Math. 148, 51-108, (1998)
    • (1998) Ann. Math. , vol.148 , pp. 51-108
    • Quastel, J.1    Yau, H.-T.2
  • 17
    • 0003654475 scopus 로고    scopus 로고
    • Cambridge: Cambridge University Press
    • Serre, D.: Systems of Conservation Laws. Vol. 1-2. Cambridge: Cambridge University Press, 2000
    • (2000) Systems of Conservation Laws , vol.1-2
    • Serre, D.1
  • 19
    • 0000440966 scopus 로고
    • Compensated compactness and applications to partial differential equations
    • Nonlinear Analysis and Mechanics, Heriot-Watt Symposium Vol. IV ed. R.J. Knops, London: Pitman
    • Tartar, L.: Compensated compactness and applications to partial differential equations. In: Nonlinear Analysis and Mechanics, Heriot-Watt Symposium Vol. IV ed. R.J. Knops, Pitman Research Notes in Mathematics 39, London: Pitman, 136-212, 1979, pp. 136-212
    • (1979) Pitman Research Notes in Mathematics , vol.39 , pp. 136-212
    • Tartar, L.1
  • 20
    • 0002851015 scopus 로고
    • The compensated compactness method applied to systems of conservation laws
    • Systems of Nonlinear PDEs, ed. J.B. Ball, Dordrecht: Reidel
    • Tartar, L.: The compensated compactness method applied to systems of conservation laws. In: Systems of Nonlinear PDEs, ed. J.B. Ball, NATO ASI Series C/Math. and Phys. Sci., Vol. III, Dordrecht: Reidel, 1983, pp. 263-285
    • (1983) NATO ASI Series C/Math. and Phys. Sci. , vol.3 , pp. 263-285
    • Tartar, L.1
  • 21
    • 0346041560 scopus 로고    scopus 로고
    • Onsager relations and Eulerian hydrodynamic limit for systems with several conservation laws
    • Tóth, B., Valkó, B.: Onsager relations and Eulerian hydrodynamic limit for systems with several conservation laws. J. Stat. Phys. 112, 497-521 (2003)
    • (2003) J. Stat. Phys. , vol.112 , pp. 497-521
    • Tóth, B.1    Valkó, B.2
  • 23
    • 0002272331 scopus 로고
    • Nonlinear diffusion limit for a system with nearest neighbor interactions II
    • Harlow: Longman
    • Varadhan, S.R.S.: Nonlinear diffusion limit for a system with nearest neighbor interactions II. In: Asymptotic Problems in Probability Theory, Sanaa/Kyoto 1990, Harlow: Longman, 1993, pp. 75-128
    • (1993) Asymptotic Problems in Probability Theory, Sanaa/Kyoto 1990 , pp. 75-128
    • Varadhan, S.R.S.1
  • 24
    • 0003135582 scopus 로고
    • Relative entropy and hydrodynamics of Ginzburg-Landau models
    • Yau, H.T.: Relative entropy and hydrodynamics of Ginzburg-Landau models. Lett. Math. Phys. 22, 63-80 (1991)
    • (1991) Lett. Math. Phys. , vol.22 , pp. 63-80
    • Yau, H.T.1
  • 25
    • 0031506098 scopus 로고    scopus 로고
    • Logarithmic Sobolev inequality for generalized simple exclusion processes
    • Yau, H.T.: Logarithmic Sobolev inequality for generalized simple exclusion processes. Probability Theory and Related Fields 109, 507-538 (1997)
    • (1997) Probability Theory and Related Fields , vol.109 , pp. 507-538
    • Yau, H.T.1
  • 26
    • 3543018925 scopus 로고    scopus 로고
    • Scaling limit of particle systems, incompressible navier-stokes equations and Boltzmann equation
    • Basel-Boston: Birkhäuser
    • Yau, H.T.: Scaling limit of particle systems, incompressible Navier-Stokes equations and Boltzmann equation. In: Proceedings of the International Congress of Mathematics, Berlin 1998, Vol. 3, Basel-Boston: Birkhäuser (1999), pp. 193-205
    • (1999) Proceedings of the International Congress of Mathematics, Berlin 1998 , vol.3 , pp. 193-205
    • Yau, H.T.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.