Methods of Vanishing Viscosity for Nonlinear ... - ACMAC
Methods of Vanishing Viscosity for Nonlinear ... - ACMAC
Methods of Vanishing Viscosity for Nonlinear ... - ACMAC
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<strong>Vanishing</strong> <strong>Viscosity</strong> <strong>for</strong> Further Fundamental Problems<br />
Stochastic Compressible Euler Equations with Random Forcing:<br />
{<br />
ρt + (ρu) x = 0,<br />
(ρu) t + (ρu 2 + p) x = σ(ρ, u, t, x)∂ t W (t),<br />
*W (t) is a Gaussian white noise martigale random measure<br />
Chen & Qian Ding 2011: Method <strong>of</strong> Artificial <strong>Viscosity</strong>:<br />
=⇒ Global Existence <strong>of</strong> Stochastic Entropy Solutions<br />
Gui-Qiang Chen (Ox<strong>for</strong>d) <strong>Vanishing</strong> <strong>Viscosity</strong>/Conservation Laws June 20–24, 2011 38 / 40
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