On the Fourier-Transformed Boltzmann Equation with Brownian Motion
We establish a global existence theorem, and uniqueness and stability of solutions of the Cauchy problem for the Fourier-transformed Fokker-Planck-Boltzmann equation with singular Maxwellian kernel, which may be viewed as a kinetic model for the stochastic time-evolution of characteristic functions...
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| Format: | Article |
| Language: | English |
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Wiley
2015-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2015/318618 |
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| _version_ | 1832554595568582656 |
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| author | Yong-Kum Cho Eunsil Kim |
| author_facet | Yong-Kum Cho Eunsil Kim |
| author_sort | Yong-Kum Cho |
| collection | DOAJ |
| description | We establish a global existence theorem, and uniqueness and stability of solutions of the Cauchy problem for the Fourier-transformed Fokker-Planck-Boltzmann equation with singular Maxwellian kernel,
which may be viewed as a kinetic model for the stochastic time-evolution of characteristic functions governed by Brownian motion and collision dynamics. |
| format | Article |
| id | doaj-art-cb556994f28143aaa5180fa97bf72347 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-cb556994f28143aaa5180fa97bf723472025-02-03T05:51:06ZengWileyAbstract and Applied Analysis1085-33751687-04092015-01-01201510.1155/2015/318618318618On the Fourier-Transformed Boltzmann Equation with Brownian MotionYong-Kum Cho0Eunsil Kim1Department of Mathematics, College of Natural Science, Chung-Ang University, 84 Heukseok-Ro, Dongjak-Gu, Seoul 156-756, Republic of KoreaDepartment of Mathematics, College of Natural Science, Chung-Ang University, 84 Heukseok-Ro, Dongjak-Gu, Seoul 156-756, Republic of KoreaWe establish a global existence theorem, and uniqueness and stability of solutions of the Cauchy problem for the Fourier-transformed Fokker-Planck-Boltzmann equation with singular Maxwellian kernel, which may be viewed as a kinetic model for the stochastic time-evolution of characteristic functions governed by Brownian motion and collision dynamics.http://dx.doi.org/10.1155/2015/318618 |
| spellingShingle | Yong-Kum Cho Eunsil Kim On the Fourier-Transformed Boltzmann Equation with Brownian Motion Abstract and Applied Analysis |
| title | On the Fourier-Transformed Boltzmann Equation with Brownian Motion |
| title_full | On the Fourier-Transformed Boltzmann Equation with Brownian Motion |
| title_fullStr | On the Fourier-Transformed Boltzmann Equation with Brownian Motion |
| title_full_unstemmed | On the Fourier-Transformed Boltzmann Equation with Brownian Motion |
| title_short | On the Fourier-Transformed Boltzmann Equation with Brownian Motion |
| title_sort | on the fourier transformed boltzmann equation with brownian motion |
| url | http://dx.doi.org/10.1155/2015/318618 |
| work_keys_str_mv | AT yongkumcho onthefouriertransformedboltzmannequationwithbrownianmotion AT eunsilkim onthefouriertransformedboltzmannequationwithbrownianmotion |