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A two-space dimensional semilinear heat equation perturbed by (Gaussian) white noise

✍ Scribed by Sergio Albeverio; Zbignew Haba; Francesco Russo

Publisher
Springer
Year
2001
Tongue
English
Weight
304 KB
Volume
121
Category
Article
ISSN
1432-2064

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Two-Dimensional Navier–Stokes Equations
Two-Dimensional Navier–Stokes Equations Driven by a Space–Time White Noise
✍ Giuseppe Da Prato; Arnaud Debussche 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 247 KB

We study the two-dimensional Navier-Stokes equations with periodic boundary conditions perturbed by a space-time white noise. It is shown that, although the solution is not expected to be smooth, the nonlinear term can be defined without changing the equation. We first construct a stationary marting