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Boundary Characteristic Point Regularity for Navier-Stokes Equations: Blow-up Scaling and Petrovskii-type Criterion (a Formal Approach)
Navier–Stokes equations in R3 backward paraboloid characteristic vertex boundary regularity blow-up scaling boundary layer
2011/9/6
Abstract: It is shown that Wiener's regularity of the vertex of a backward paraboloid for 3D Navier-Stokes equations with zero Dirichlet conditions on the paraboloid boundary is given by Petrovskii's ...
Scaling laws prediction from a solvable model of turbulent thermal convection
Scaling laws solvable model turbulent thermal convection
2011/7/7
A solvable turbulent model is used to predict both the structure of the boundary layer and the scaling laws in thermal convection. The transport of heat depends on the interplay between the thermal, v...
Schrödinger dispersive estimates for a scaling-critical class of potentials
Schrö dinger dispersive estimates scaling-critical class potentials
2010/12/14
We prove a dispersive estimate for the evolution of Schr¨odinger operators H = − + V (x) in R3. The potential should belong to the closure of Cc b (R3) with respsect to the global Kato norm. So...
A scaling limit theorem for the parabolic Anderson model with exponential potential
scaling limit theorem parabolic Anderson model exponential potential
2010/12/13
The parabolic Anderson problem is the Cauchy problem for the heat equation ¶tu(t, z) = D u(t, z)+x (t, z)u(t, z) on (0,¥)×Zd with random potential (x (t, z) : z ∈ Zd ) and localized initial c...