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Hydrodynamic Equation for a Deposition Model  (Make Corrections)  
B'alint T'oth Wendelin Werner Technical University Budapest and Universit'e...



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Abstract: We show that the two-component system of hyperbolic conservation laws @ t ae + @ x (aeu) = 0 = @ t u + @ x ae appears naturally in the formally computed hydrodynamic limit of some randomly growing interface models, and we study some properties of this system. Key Words: Hyperbolic conservation laws, KPZ equation MSC-class.: 35L65, 82C41, 60K35 1 Introduction The macroscopic behaviour of physical systems can often be described in terms of non-linear partial differential equations. In many... (Update)

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BibTeX entry:   (Update)

@misc{ wendelin-hydrodynamic,
  author = "Alint Oth Wendelin",
  title = "Hydrodynamic Equation for a Deposition Model",
  url = "citeseer.ist.psu.edu/414409.html" }
Citations (may not include all citations):
31   Pure Appl (context) - Lax, of et al. - 1957
14   emes de lois de conservation (context) - Serre - 1996
8   true' self-avoiding walk with bond repulsion on Z: limit the.. (context) - T'oth - 1995
3   Tadmor: Kinetic formulation of the isentropic gas dynamics a.. (context) - Lions, Perthame - 1995
2   Stanley: Fractal Concepts in Surface Growth (context) - Barab'asi - 1995
2   Giacomin: Stochastic Burgers and KPZ equations from particle.. (context) - Bertini - 1997
1   Zhang: Dynamic scaling of growing interfaces (context) - Kardar, Parisi - 1986
1   Graduate School of Mathematics (context) - Fritz, to et al. - 2000
1   Landim: Scaling Limits of Interacting Particle Systems (context) - Kipnis - 1999
1   Werner: The true self-repelling motion (context) - T'oth - 1998
1   second edition (context) - Smoller, Waves et al. - 1994

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