ASYMPTOTIC BEHAVIOR OF THE STEADY PRANDTL EQUATION
报告题目(Title)：ASYMPTOTIC BEHAVIOR OF THE STEADY PRANDTL EQUATION
报告人(Speaker)：王越 首都师范大学
地点(Place)：后主楼1124
时间(Time)：2021-10-21，10：00—11：00
邀请人(Inviter)：熊金钢
报告摘要
For the 2-D steady Prandtl Equations, Oleinik proved the global-in-x existence of solutions in the case of favorable pressure gradient. For the asymptotic behavior of the Oleinik's solution to the steady Prandtl equation when the outer flow U(x) = 1, Serrin proved that the Oleinik's solution converges to the famous Blasius solution u_B in L ∞ sense and Iyer proved the explicit decay estimates of u − u_B and its derivatives when the initial data is a small localized perturbation of the Blasius profile. In this talk, I will first review some related results and then report our recent works for the decay estimate of u − u_B for general initial data with exponential decay and the decay estimates of its derivatives when the initial data has an additional concave assumption. The proof is based on the maximum principle.
