Abstract
Sufficient conditions of the onset of the blow-up mode for the parabolic equation with double nonlinearity that describes the combustion process in a nonlinear medium are analyzed. A sufficient condition for the initial function under which the time of the solution blow-up of the corresponding initial–boundary value problem for this equation is finite is obtained. An analytical upper bound on the solution existence time is derived. This a priori bound on the solution blow-up time is used for the numerical refinement of the blow-up process. It is shown that the numerical diagnostics of the solution blow-up makes it possible to obtained a better estimate of the solution blow-up time and detect the fact of local blow-up with respect to the spatial variable.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callMore From: Computational Mathematics and Mathematical Physics
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
