Spatial behavior of solutions for a large class of non-local PDE’s arising from stratified flows.

Abstract: We propose a theoretical model of a non-local dipersive-dissipative equation which contains as a particular case a large class of non-local PDE’s arising from stratified flows. Within this fairly general framework, we study the spatial behavior of solutions proving some sharp pointwise and averaged decay properties as well as some pointwise grow properties.

Posted on May 10, 2021 in Differential Equations, Seminars