Biyar, Magzhanda Silva, Daniel OliveiraCastro Castilla, Alejandro Javier2019-08-082019-08-082019-08-07Biyar, M. (2019). Analytic Solutions for a Nonlinear Transport Equation. Nazarbayev University, School of Science and Technologyhttp://nur.nu.edu.kz/handle/123456789/4091We prove that the Cauchy problem for a transport equation with algebraic nonlinearity of degree p with initial data in Gevrey spaces is locally well-posed. In particular, we show that the analyticity of solutions persists for a short time and we derive a sufficient condition for solutions to be analytic for all times.enAttribution-NonCommercial-ShareAlike 3.0 United Statestransport equationwell-posednessGevrey spacesCapstone Project