Ngoc, Le Thi PhuongLong, Nguyen Thanh2021-10-052021-10-052020-10-26Ngoc, L. T. P., & Long, N. T. (2020). Exponential decay and blow-up for nonlinear heat equations with viscoelastic terms and Robin-Dirichlet conditions. <i>Electronic Journal of Differential Equations, 2020</i>(106), pp. 1-26.1072-6691https://hdl.handle.net/10877/14613In this article, we consider a system of nonlinear heat equations with viscoelastic terms and Robin-Dirichlet conditions. First, we prove existence and uniqueness of a weak solution. Next, we prove a blow up result of weak solutions with negative initial energy. Also, we give a sufficient condition that guarantees the existence and exponential decay of global weak solutions. The main tools are the Faedo-Galerkin method, a Lyapunov functional, and a suitable energy functional.Text26 pages1 file (.pdf)enAttribution 4.0 InternationalNonlinear heat equationsBlow upExponential decayArticle