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Volumn 256, Issue 1, 2005, Pages 111-157

Perturbation of singular equilibria of hyperbolic two-component systems: A universal hydrodynamic limit

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EID: 17444377883     PISSN: 00103616     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00220-005-1314-9     Document Type: Article
Times cited : (18)

References (29)
  • 3
    • 0003228130 scopus 로고    scopus 로고
    • Partial differential equations
    • Providence, RI: AMS
    • Evans, L.C.: Partial Differential Equations. Graduate Studies in Mathematics 19, Providence, RI: AMS, 1998
    • (1998) Graduate Studies in Mathematics , vol.19
    • Evans, L.C.1
  • 4
    • 0346704388 scopus 로고    scopus 로고
    • An introduction to the theory of hydrodynamic limits
    • Graduate School of Mathematics, Univ. Tokyo
    • Fritz, J.: An Introduction to the Theory of Hydrodynamic 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. Adv. Stud. Pure Math. 39, 143-171 (2004)
    • (2004) Adv. Stud. Pure Math. , vol.39 , pp. 143-171
    • Fritz, J.1
  • 6
    • 3543029206 scopus 로고    scopus 로고
    • Derivation of the Leroux system as the hydrodynamic limit of a two-component lattice gas
    • Fritz, J., Tóth, B.: Derivation of the Leroux system as the hydrodynamic limit of a two-component lattice gas. Commun. Math. Phys. 249, 1-27 (2004)
    • (2004) Commun. Math. Phys. , vol.249 , pp. 1-27
    • Fritz, J.1    Tóth, B.2
  • 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
  • 11
    • 0002950929 scopus 로고
    • Shock waves and entropy
    • Zarantonello, New York E. A.: Academic Press
    • Lax, P.: Shock waves and entropy. In: Contributions to Nonlinear Functional Analysis, (ed.): Zarantonello, New York E. A.: Academic Press, 1971, pp. 603-634
    • (1971) Contributions to Nonlinear Functional Analysis , pp. 603-634
    • Lax, P.1
  • 12
    • 0003261490 scopus 로고
    • Systems of conservation laws and the mathematical theory of shock waves
    • Lax, P.: Systems of Conservation Laws and the Mathematical Theory of Shock Waves. SIAM, CBMS-NSF 11, 1973
    • (1973) SIAM, CBMS-NSF , vol.11
    • Lax, P.1
  • 13
    • 0003294239 scopus 로고
    • Numerical methods in conservation laws
    • ETH Zürich, Basel: Birkhäuser Verlag
    • Leveque, R.J.: Numerical Methods in Conservation Laws. Lectures In Mathematics, ETH Zürich, Basel: Birkhäuser Verlag, 1990
    • (1990) Lectures in Mathematics
    • Leveque, R.J.1
  • 14
    • 0031162898 scopus 로고    scopus 로고
    • A system of reaction diffusion equations arising in the theory of reinforced random walks
    • Levine, H.A., Sleeman, B.D.: A system of reaction diffusion equations arising in the theory of reinforced random walks. SIAM J. App. Math. 57, 683-730 (1997)
    • (1997) SIAM J. App. Math. , vol.57 , pp. 683-730
    • Levine, H.A.1    Sleeman, B.D.2
  • 15
    • 0031207030 scopus 로고    scopus 로고
    • Aggregation, blowup, and collapse: The abc's of taxis in reinforced random walks
    • Othmer, H.G., Stevens, A.: Aggregation, blowup, and collapse: the abc's of taxis in reinforced random walks. SIAM J. App. Math. 57, 1044-1081 (1997)
    • (1997) SIAM J. App. Math. , vol.57 , pp. 1044-1081
    • Othmer, H.G.1    Stevens, A.2
  • 16
    • 0347302950 scopus 로고    scopus 로고
    • Shocks and excitation dynamics in driven diffusive two channel systems
    • Popkov, V., Schütz, G.M.: Shocks and excitation dynamics in driven diffusive two channel systems. J. Stat. Phys. 112, 523-540 (2003)
    • (2003) J. Stat. Phys. , vol.112 , pp. 523-540
    • Popkov, V.1    Schütz, G.M.2
  • 17
    • 17444428182 scopus 로고
    • On some "viscous" perurbations of quasi-linear first order hyperbolic systems arising in biology
    • Rascle, M.: On some "viscous" perurbations of quasi-linear first order hyperbolic systems arising in biology. Contemp Math. 17, 133-142 (1983)
    • (1983) Contemp Math. , vol.17 , pp. 133-142
    • Rascle, M.1
  • 19
    • 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
  • 21
    • 0141450452 scopus 로고    scopus 로고
    • Between equilibrium fluctuations and Eulerian scaling. Perturbation of equilibrium for a class of deposition models
    • Tóth, B., Valkó, B.: Between equilibrium fluctuations and Eulerian scaling. Perturbation of equilibrium for a class of deposition models. J. Stat. Phys. 109, 177-205 (2002)
    • (2002) J. Stat. Phys. , vol.109 , pp. 177-205
    • Tóth, B.1    Valkó, B.2
  • 22
    • 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
  • 24
    • 17444413914 scopus 로고    scopus 로고
    • Hydrodynamic equation for a deposition model
    • In and out of equilibrium. Probability with a physics flavor. Sidoravicius, V. (ed.), Basel-Boston: Birkhäuser
    • Tóth, B., Werner, W.: Hydrodynamic equation for a deposition model. In: In and out of equilibrium. Probability with a physics flavor. Sidoravicius, V. (ed.), Progress in Probability 51, Basel-Boston: Birkhäuser, 2002, pp. 227-248
    • (2002) Progress in Probability , vol.51 , pp. 227-248
    • Tóth, B.1    Werner, W.2
  • 25
    • 17444388994 scopus 로고    scopus 로고
    • PhD Thesis, Institute of Mathematics, Budapest University of Technology and Economics
    • Valkó, B.: Hydrodynamic behavior of hyperbolic two-component systems. PhD Thesis, Institute of Mathematics, Budapest University of Technology and Economics, 2004. Available at: http://www.renyi.hu/~valko
    • (2004) Hydrodynamic Behavior of Hyperbolic Two-component Systems
    • Valkó, B.1
  • 26
    • 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, Sanda/Kyoto 1990, Harlow: Longman, 1993, pp. 75-128
    • (1993) Asymptotic Problems in Probability Theory, Sanda/Kyoto 1990 , pp. 75-128
    • Varadhan, S.R.S.1
  • 27
    • 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
  • 28
    • 0031506098 scopus 로고    scopus 로고
    • Logarithmic Sobolev inequality for generalized simple exclusion processes
    • Yau, H.T.: Logarithmic Sobolev inequality for generalized simple exclusion processes. Prob. Theory and Rel. Fields 109, 507-538 (1997)
    • (1997) Prob. Theory and Rel. Fields , vol.109 , pp. 507-538
    • Yau, H.T.1
  • 29
    • 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


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