GLOBAL EXISTENCE AND DECAY OF SOLUTIONS TO PRANDTL SYSTEM WITH SMALL ANALYTIC DATA
ZHANG, Ping
Academy of Mathematics and Systems Science and Hua Loo-Keng Key Laboratory of Mathematics
Academy of Mathematics and Systems Science and Hua Loo-Keng Key Laboratory of Mathematics
ZHANG, Ping
Academy of Mathematics and Systems Science and Hua Loo-Keng Key Laboratory of Mathematics
< Reduce
Academy of Mathematics and Systems Science and Hua Loo-Keng Key Laboratory of Mathematics
Language
en
Article de revue
This item was published in
Archive for Rational Mechanics and Analysis. 2021
Springer Verlag
English Abstract
In this paper, we prove the global existence and the large time decay estimate of solutions to Prandtl system with small initial data, which is analytical in the tangential variable. The key ingredient used in the proof ...Read more >
In this paper, we prove the global existence and the large time decay estimate of solutions to Prandtl system with small initial data, which is analytical in the tangential variable. The key ingredient used in the proof is to derive sufficiently fast decay-in-time estimate of some weighted analytic energy estimate to a quantity, which consists of a linear combination of the tangential velocity with its primitive one, and which basically controls the evolution of the analytical radius to the solutions. Our result can be viewed as a global-in-time Cauchy-Kowalevsakya result for Prandtl system with small analytical data.Read less <
English Keywords
Prandtl system
Littlewood-Paley theory
analytic energy estimate
Origin
Hal imported