Abstract: We consider a coupled system of mathematical problem given in the form of two partial differential equations in viscoelasticities describing the propagation of surface waves on multi-layered liquid films. We establish the existence of solutions for initial-value problem (1.3) in the linear case by using a priori energy estimates.
Khaled Zennir, Salah Boulaaras, Bahri Cherif and Ali Allahem, 2019. New Mathematical Studies for Surface Waves on Multi-Layered Liquid Films. Research Journal of Applied Sciences, 14: 61-66.