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Global existence and stability of mild solutions to the Boltzmann system for gas mixtures
Author(s):
Seung-Yeal
Ha;
Se
Eun
Noh;
Seok
Bae
Yun
Journal:
Quart. Appl. Math.
65
(2007),
757-779.
MSC (2000):
Primary 35Q40
Posted:
August 28, 2007
MathSciNet review:
2370359
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Additional information
Abstract:
We present the global existence and stability of mild solutions to the Boltzmann system with inverse power molecular interactions for a binary gas mixture, when initial data are sufficiently small and decay exponentially in phase space. For the existence and stability of mild solutions, we employ a modified Kaniel-Shinbrot's scheme and a weighted nonlinear functional approach. Time-asymptotic convergence toward the free molecular motion is established using a weighted collision potential, and we show that the weighted  -distance between two mild solutions is uniformly controlled by that of initial data.
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Additional Information:
Seung-Yeal
Ha
Affiliation:
Department of Mathematical Sciences, Seoul National University, Seoul 151-747, Korea
Email:
syha@math.snu.ac.kr
Se
Eun
Noh
Affiliation:
Department of Mathematical Sciences, Seoul National University, Seoul 151-747, Korea
Email:
senoh@math.snu.ac.kr
Seok
Bae
Yun
Affiliation:
Department of Mathematical Sciences, Seoul National University, Seoul 151-747, Korea
Email:
sbyun@math.snu.ac.kr
PII:
S0033-569X-07-01068-6
Received by editor(s):
February 27, 2007
Posted:
August 28, 2007
Copyright of article:
Copyright
2007,
Brown University
The copyright for this article reverts to public domain after 28 years from publication.
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