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A QUADRATIC FOURIER REPRESENTATION OF THE BOLTZMANN COLLISION OPERATOR WITH AN APPLICATION TO THE STABILITY PROBLEM
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1초록
We present a Fourier transform formula of quadratic-form type for the collision operator with a Maxwellian kernel under the momentum transfer condition. As an application, we extend the work of Toscani and Villani on the uniform stability of the Cauchy problem for the associated Boltzmann equation to any physically relevant Maxwellian molecules in the long-range interactions with a minimal requirement for the initial data.
키워드
Boltzmann equation; Bobylev's identity; collision operator; Fourier transform; Maxwellian; SPATIALLY HOMOGENEOUS BOLTZMANN; LONG-RANGE INTERACTIONS; MAXWELL MOLECULES; EQUATION; UNIQUENESS
- 제목
- A QUADRATIC FOURIER REPRESENTATION OF THE BOLTZMANN COLLISION OPERATOR WITH AN APPLICATION TO THE STABILITY PROBLEM
- 저자
- Cho, Yong-Kum
- 발행일
- 2012-09
- 유형
- Article
- 권
- 5
- 호
- 3
- 페이지
- 441 ~ 458