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A Note on Global Weak Solutions for Semilinear Parabolic Systems Modelling Equilibrium Reactions with Different Diffusion Coefficients of Chemical Species
  • Hari Mahato,
  • Michael Böhm
Hari Mahato
IIT Kharagpur
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Michael Böhm
Centre for Industrial Mathematics
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Abstract

In this article we show well-posedness for a relatively general semilinear parabolic system under nonhomogeneous Neumann boundary conditions and semi-linearities of (some) equilibrium reaction type. The result in here weakens previously made by Krautle and Mahato (Kra08, Kra11 and MB131, MB132, resp.) on the coefficients of the elliptic operator as well as on the boundary conditions considerably.

Peer review status:UNDER REVIEW

17 Jul 2020Submitted to Mathematical Methods in the Applied Sciences
30 Jul 2020Assigned to Editor
30 Jul 2020Submission Checks Completed
04 Aug 2020Reviewer(s) Assigned