Enhanced dissipation for the Kolmogorov flow via the hypocoercivity method

• 来源期刊: 中国科学：数学（英文版）
• 年，卷（期）: 2019,（6）
• 页码范围: 1219-1232
• 页数: 14页
• 语种: 英文

摘要

In this paper,we solve Beck and Wayne's conjecture on the optimal enhanced dissipation rate for the 2-D linearized Navier-Stokes equations around the bar state called the Kolmogorov flow by developing the hypocoercivity method introduced by Villani (2009).