Fronts in Random Burgers Equations

Part of the Surveys and Tutorials in the Applied Mathematical Sciences book series (STAMS, volume 5)


In groundwater and contaminant transport problems arising from environmental sciences, fronts typically travel in a spatially inhomogeneous environment because of the natural formation of porous structures. Due to lack of field data, the spatially inhomogeneous environment is often modeled as a random process. Conservation of mass then leads to a nonlinear scalar conservation law with a random flux


Central Limit Theorem Wiener Process Burger Equation Invariance Principle Front Speed 


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Copyright information

© Springer-Verlag New York 2009

Authors and Affiliations

  1. 1.Department of MathematicsUniversity of California, IrvineIrvineU.S.A.

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