| Abstract: |
| We consider the following parabolic SPDEs:
\[
\frac{\partial}{\partial t} u(t,x;\lambda)
=\triangle u(t,x;\lambda)
+b(u(t,x;\lambda))
+\lambda\sigma\left(u(t,x;\lambda)\right)\frac{\partial^2}{\partial t\partial x}\xi(t,x),
\]
subject to nonrandom initial data $u_0(x)$ where $\xi(t,x)$ is a Gaussian noise.
One motivation for studying this model is a physical phenomena: intermittency, so we will introduce it first.
In this talk, we will discuss limiting behaviors of the solutions $u(t,x;\lambda)$ in variant $b(x)$ and how $\lambda$ effects their limiting behaviors. |
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