| Abstract: |
| In this talk, we consider the asymptotic behavior of solutions of Hamilton-Jacobi equations with large Hamiltonian drift terms in an open subset of two dimensional Euclidean space.
When the Hamiltonian admits degenerate critical points, we establish the convergence of solutions of the Hamilton-Jacobi equations and identify the limit of the solutions as the solution of systems of ordinary differential equations on a graph. The graph has one node and arbitrarily many edges depending on the Hamiltonian. |
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