Acta mathematica scientia, Series B >
EXISTENCE OF INFINITE ENERGY SOLUTION TO THE INELASTIC BOLTZMANN EQUATION WITH EXTERNAL FORCE
Received date: 2011-07-18
Revised date: 2012-04-19
Online published: 2012-11-20
Supported by
The research was supported by the Fundamental Re-search Funds for the Central Universities (2012TS008) and the National Natural Science Foundation of China (11026054).
In this paper, the Cauchy problem for the inelastic Boltzmann equation with external force is considered in the case of initial data with infinite energy. More pre-cisely, under the assumptions on the bicharacteristic generated by external force, we prove the global existence of solution for small initial data compared to the local Maxwellian exp{−p|x − v|2}, which has infinite mass and energy.
Key words： inelastic Boltzmann equation; infinite energy; external force
WEI Jin-Bo , ZHANG Xian-Wen . EXISTENCE OF INFINITE ENERGY SOLUTION TO THE INELASTIC BOLTZMANN EQUATION WITH EXTERNAL FORCE[J]. Acta mathematica scientia, Series B, 2012 , 32(6) : 2131 -2140 . DOI: 10.1016/S0252-9602(12)60165-9
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