系所：數學系            教師姓名：江金城教授

發表期刊：Journal of the European Mathematical Society

標題：具庫倫勢的空間均勻藍道方程式新的單調公式及其應用

摘要：We describe a time-dependent functional involving the relative entropy and the H¹ seminorm, which decreases along solutions to the spatially homogeneous Landau equation with Coulomb potential. The study of this monotone functional sheds light on the competition between dissipation and nonlinearity for this equation. It enables us to obtain new results concerning regularity/blowup issues for the Landau equation with Coulomb potential.