Speaker  Zhuangyi Liu, Department of Mathematics and Statistics, University of Minnesota Duluth.

Title Exponential Stability of Linear KdV-BBM Equation

ABSTRACT In this presentation, we consider the following linear KortewegDe Vries-Benjamin Bona Mahony (KdV-BBM) equation on a finite interval. We  show  the  well-posedness  by  the  semigroup  theory.   A  setLof  criticallengthLis obtained, for which the system possesses conservative solutions.Then we prove the exponentially stability of the associated semigroup by thefrequency domain method whenL /∈L.