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Abstract
In this paper, we study the pseudo-Maxwell model for granular materials, we prove the existence of a solution to this model. Under some hypotheses on the initial data, for all time , the solution
belongs to Schwartz’s space of rapidly decreasing smooth functions. In addition, we prove that the solution converges exponentially to the steady state when
in some Sobolev space
.
Acknowledgements
The author would like to express their sincere thanks to the referees for valuable comments.
Notes
No potential conflict of interest was reported by the authors.
Additional information
Funding
This work is supported by the National Natural Science Foundation of China [grant number 11401318]; the Natural Science Foundation of the Jiangsu Higher Education Institutions of China [grant number 14KJB110020]; the Scientific Research Foundation of NUPT [grant number NY214023].