Universality of coupled stochastic Burgers equations with degenerate flux Jacobian
Coupled Burgers (equivalently KPZ) equations are used to describe anomalous fluctuations of one-dimensional systems with several conservation laws, in fact two for the sake of our presentation. On the level of linearized Euler equations there are then two sound modes. If their velocities differ, one uses the decoupling assumption to reduce to the well-studied case of a single conservation law. In my talk I will discuss the case when the two sound speeds are the same, which results in novel intriguing fluctuation behavior. This is joint work with D. Roy, A. Dhar, K. Khanin, and M. Kulkarni.
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