Analytic Solutions for a Nonlinear Transport Equation

dc.contributor.author	Biyar, Magzhan
dc.contributor.other	da Silva, Daniel Oliveira
dc.contributor.other	Castro Castilla, Alejandro Javier
dc.date.accessioned	2019-08-08T05:53:08Z
dc.date.available	2019-08-08T05:53:08Z
dc.date.issued	2019-08-07
dc.identifier.citation	Biyar, M. (2019). Analytic Solutions for a Nonlinear Transport Equation. Nazarbayev University, School of Science and Technology	en_US
dc.identifier.uri	http://nur.nu.edu.kz/handle/123456789/4091
dc.description.abstract	We 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.	en_US
dc.language.iso	en	en_US
dc.publisher	Nazarbayev University School of Science and Technology	en_US
dc.rights	Attribution-NonCommercial-ShareAlike 3.0 United States	*
dc.rights.uri	http://creativecommons.org/licenses/by-nc-sa/3.0/us/	*
dc.subject	transport equation	en_US
dc.subject	well-posedness	en_US
dc.subject	Gevrey spaces	en_US
dc.title	Analytic Solutions for a Nonlinear Transport Equation	en_US
dc.type	Capstone Project	en_US
workflow.import.source	science