| Autor: |
ALONSO, RICARDO, ČOLIĆ, MILANA |
| Předmět: |
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| Zdroj: |
SIAM Journal on Mathematical Analysis; 2024, Vol. 56 Issue 1, p1459-1494, 36p |
| Abstrakt: |
This paper explores the Lp Lebesgue's integrability propagation, p∈(1,∞], of a system of space homogeneous Boltzmann equations modelling a multi-component mixture of polyatomic gases based on the continuous internal energy. For typical collision kernels proposed in the literature, Lp moment-entropy-based estimates for the collision operator gain part and a lower bound for the loss part are performed leading to a vector valued inequality for the collision operator and, consequently, to a differential inequality for the vector valued solutions of the system. This allows to prove the propagation property of the polynomially weighted Lp norms associated to the vector valued solution of the system of Boltzmann equations. The case p=∞ is found as a limit of the case p<∞. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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