Home Events Calendar CCM Seminar: Averaged dynamics and control for heat equations with random diffusion

# CCM Seminar: Averaged dynamics and control for heat equations with random diffusion

Next Tuesday October 20th, our team member Jon Asier Bárcena Petisco Postdoctoral researcher from UAM will be talking about “Averaged dynamics and control for heat equations with random diffusion” as part of the CCM – Chair of Computational Mathematics seminars.

Abstract. In this talk we deal with the averaged dynamics for heat equations in the degenerate case where the diffusivity coefficient, assumed to be constant, is allowed to take the null value. First we prove that the averaged dynamics is analytic. This allows to show that, most often, the averaged dynamics enjoys the property of unique continuation and is approximately controllable. We then determine if the averaged dynamics is actually null controllable or not depending on how the density of averaging behaves when the diffusivity vanishes. In the critical density threshold the dynamics of the average is similar to the $\frac{1}{2}$-fractional Laplacian, which is well-known to be critical in the context of the controllability of fractional diffusion processes. Null controllability then fails (resp. holds) when the density weights more (resp. less) in the null diffusivity regime than in this critical regime.

### Date

Tue 20th Oct 2020
Expired!

### Time

9:00 am - 10:00 am

### Local Time

• Timezone: America/New_York
• Date: Tue 20th Oct 2020
• Time: 3:00 am - 4:00 am

### Labels

Seminar | Talk (by CCM)

### Location

Unibertsitate Etorb., 24, 48007 Bilbo, Bizkaia

### Organizer

###### Phone
+34 94 413 9003 Ext. 3282
###### Website
https://cmc.deusto.eus

### Speaker

• Jon Asier Bárcena Petisco
Postdoctoral Researcher

Jon Asier Bárcena Petisco is a Postdoctoral Researcher at CCM on the ERC DyCon project. More about Umberto

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