3 problems
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Giacomin–Lebowitz–Presutti nonlinear fluctuations conjecture for the Ising-Kac-Kawasaki model
Giacomin–Lebowitz–Presutti conjecture. As , the solution of the rescaled Ising-Kac-Kawasaki equation converges to the solution of the stochastic Cahn–H…
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The dimensional agreement conjecture for DFV theory and linearized fluctuating hydrodynamics
Let be the space dimension. Consider the DFV theory with a random concentration gradient having homogeneous, isotropic statistics, and linearized fluctua…
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KPZ universality conjecture for long-wavelength dynamics of classical one-dimensional fluids
A classical one-dimensional fluid at finite temperature is described at long wavelengths by the Kardar–Parisi–Zhang universality class. KPZ universality conjecture. The long-wavele…