Renormalization of Generalized KPZ equation
classification
🧮 math-ph
math.MP
keywords
epsilonequationgeneralizedrenormalizationadditioncontextcountercutoff
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We use Renormalization Group to prove local well posedness for a generalized KPZ equation introduced by H. Spohn in the context of stochastic hydrodynamics. The equation requires the addition of counter terms diverging with a cutoff $\epsilon$ as $\epsilon^{-1}$ and $\log\epsilon^{-1}$.
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