- Current Issue - Ahead of Print Articles - All Issues - Search - Open Access - Information for Authors - Downloads - Guideline - Regulations ㆍPaper Submission ㆍPaper Reviewing ㆍPublication and Distribution - Code of Ethics - For Authors ㆍOnline Submission ㆍMy Manuscript - For Reviewers - For Editors
 Global attractor for a class of quasilinear degenerate parabolic equations with nonlinearity of arbitrary order Commun. Korean Math. Soc.Published online May 12, 2021 Tran Thi Quynh Chi, Le Thi Thuy, and Nguyen Xuan Tu Department of Mathematics, Electric Power University, Hung Vuong University Abstract : In this paper we study the existence and long-time behavior of weak solutions to a class of quasilinear degenerate parabolic equations involving weighted $p$-Laplacian operators with a new class of nonlinearities. First, we prove the existence and uniqueness of weak solutions by combining the compactness and monotone methods and the weak convergence techniques in Orlicz spaces. Then, we prove the existence of global attractors by using the asymptotic {\it a priori} estimates method. Keywords : Quasilinear degenerate parabolic equation; Weighted p-Laplacian operator; Weak solution; Global attractor; Compactness method; Monotonicity method; Weak convergence techniques; Orlicz spac MSC numbers : 35B41; 35K65; 35D05. Full-Text :