Analytic Solutions for a Nonlinear Transport Equation
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Date
2019-08-07
Authors
Biyar, Magzhan
Journal Title
Journal ISSN
Volume Title
Publisher
Nazarbayev University School of Science and Technology
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.
Description
Keywords
transport equation, well-posedness, Gevrey spaces
Citation
Biyar, M. (2019). Analytic Solutions for a Nonlinear Transport Equation. Nazarbayev University, School of Science and Technology