Christopher Hermosilla, 9 h

Vincent Perrolaz, 10 h

Fabio Camilli, 11 h – Kolmogorov entropy of numerical solutions for scalar conservation lawswith convex <a href="http://flux.

Chaque » target= »_blank » title= »flux.

Chaque »>flux.

Chaque séminaire durera 45 minutes, suivies de 15 minutes de questions et de pause-café.
 
Fabio Camilli:
Kolmogorov entropy of numerical solutions for scalar conservation lawswith convex <a href="http://flux.
Abstract:Following » target= »_blank » title= »flux.
Abstract:Following »>flux.
Abstract:Following Lax’s information-theoretic perspective, we study thequantitative compactness of numerical solutions to scalar conservationlaws with uniformly convex flux via Kolmogorov entropy. We prove thatconservative and monotone finite-difference schemes satisfying adiscrete one-sided Lipschitz condition preserve the optimal continuousentropy scaling established by De Lellis–Golse and Ancona–Glass–Nguyen.The upper bound stems from the discrete Lipschitz structure, while thelower bound relies on a uniform approximation of BV functions. Thesefindings rigorously confirm the high-resolution nature of first-orderschemes in Lax’s sense. Finally, we formulate a general transferprinciple for the lower bound and discuss its applications toinformation recovery via numerical <a href="http://post-processing.
 
 

https://indico.math.cnrs.fr/event/17080/ » target= »_blank » title= »post-processing.
 
 

https://indico.math.cnrs.fr/event/17080/ »>post-processing.
 
 

https://indico.math.cnrs.fr/event/17080/