Regularity of entropy solutions of some hyperbolic equation in fractional BV spaces
Dr. Billel Guelmame, Université Côte d'Azur, (Nice Sophia Antipolis University, France)
| Speaker |
Dr. Billel Guelmame, Université Côte d'Azur, (Nice Sophia Antipolis University, France)
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|---|---|
| When |
Jan 27, 2021
from 04:00 PM to 05:00 PM |
| Where | zoom meet |
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Abstract: The BV space (the space of bounded variation functions) is the classical space to study the regularity of entropy solutions of hyperbolic conservation laws in the one-dimensional case. For certain equations, entropy solutions cannot belong to BV, thus, the fractional BVs, 0 < s \< 1 spaces are used. Some results of regularizing effects in BVs will be presented in this talk. In addition, we present the existence of global entropy solutions of a class of triangular systems in BV s, s >/ 1/3. In both cases, the optimality of the choice of s is proven.