| Abstract: |
| In this talk, we will discuss some progress on principal eigenvalues of second order elliptic operators with the divergence-free flow. Some monotonicity and asymptotic behaviors of principal eigenvalues, with respect to diffusion rate and flow amplitude, are established. These local asymptotic analysis can help us find some global information on the principal eigenvalue, which enables us to better understand qualitative properties of the principal eigenvalues. This is a joint work with Professor Yuan Lou. |
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