Global existence results for solutions of general conservative advection-diffusion equations in R

In this paper a rigorous study concerning global existence results and estimates for the sup norm of non-negative bounded solutions for one-dimensional advection-diffusion equations ut+(b(x,t)uk+1)x=μ(t)uxx, with 0≤k

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Bibliographic Details
Published in:Journal of mathematical analysis and applications 2022-11, Vol.515 (1), p.126361, Article 126361
Main Authors: Guidolin, P.L., Schütz, L., Ziebell, J.S., Zingano, J.P.
Format: Article
Language:English
Subjects:
Advection-diffusion equations
Global existence
Sup norm estimates
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Description
Summary:In this paper a rigorous study concerning global existence results and estimates for the sup norm of non-negative bounded solutions for one-dimensional advection-diffusion equations ut+(b(x,t)uk+1)x=μ(t)uxx, with 0≤k
ISSN:0022-247X
1096-0813
DOI:10.1016/j.jmaa.2022.126361