Dynamics in the fundamental solution of a non-convex conservation law
Prof. Y.J.Kim
Department of Mathematical Sciences
KAIST
| Speaker |
Prof. Y.J.Kim
Department of Mathematical Sciences
KAIST
|
|---|---|
| When |
Feb 14, 2018
from 04:00 PM to 05:00 PM |
| Where | LH |
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Abstract: There is a huge jump in the theory of conservation laws if the convexity assumption is dropped. We will discuss solution behavior of a non-convex conservation law by monitoring the dynamics in the fundamental solution. We introduce three shock types in addition to the usual genuine shock: left-, right- and double-sided contacts. There are three kinds of phenomenon for these shocks, called branching, merging and transforming. All of these shocks and phenomena can be observed if the flux function has two inflection points.