PDE and Applied Analysis SeminarㅣA Stokes system with a source/sink-type condition derived from a Boltzmann system with discont

분야Field
날짜Date	2022-12-16 ~ 2022-12-16	시간Time	13:00 ~ 14:00
장소Place	Online streaming (Zoom)	초청자Host
연사Speaker	Satoshi Taguchi	소속Affiliation	Kyoto University
TOPIC	PDE and Applied Analysis SeminarㅣA Stokes system with a source/sink-type condition derived from a Boltzmann system with discont
소개 및 안내사항Content	Abstract: In this talk, we consider a boundary-value problem of the Boltzmann equation with discontinuous boundary data and its fluid-dynamic approximation in the near continuum regime. More precisely, we consider the steady gas flow between two parallel walls induced by a discontinuous wall temperature. Our motivation for this study is a recent interest in phoretically active particles, typically known as Janus particles. Assuming a small Knudsen number, we derive from the Boltzmann equation a system of Stokes equations for incompressible fluids with a source/sink condition to model the effect of the discontinuous wall temperature. The derivation is based on a matched asymptotic expansion method, which allows us to identify a kinetic region near the point of discontinuity. The present talk is based on a joint work with Tetsuro Tsuji. https://postech-ac-kr.zoom.us/j/96428451691?pwd=YTdPQTMrd1JlVUlzUkk0ZUZkRVM2dz09 Meeting ID: 964 2845 1691 Password: PDEAA

학회명Field	PDE and Applied Analysis SeminarㅣA Stokes system with a source/sink-type condition derived from a Boltzmann system with discont
날짜Date	2022-12-16 ~ 2022-12-16	시간Time	13:00 ~ 14:00
장소Place	Online streaming (Zoom)	초청자Host
소개 및 안내사항Content	Abstract: In this talk, we consider a boundary-value problem of the Boltzmann equation with discontinuous boundary data and its fluid-dynamic approximation in the near continuum regime. More precisely, we consider the steady gas flow between two parallel walls induced by a discontinuous wall temperature. Our motivation for this study is a recent interest in phoretically active particles, typically known as Janus particles. Assuming a small Knudsen number, we derive from the Boltzmann equation a system of Stokes equations for incompressible fluids with a source/sink condition to model the effect of the discontinuous wall temperature. The derivation is based on a matched asymptotic expansion method, which allows us to identify a kinetic region near the point of discontinuity. The present talk is based on a joint work with Tetsuro Tsuji. https://postech-ac-kr.zoom.us/j/96428451691?pwd=YTdPQTMrd1JlVUlzUkk0ZUZkRVM2dz09 Meeting ID: 964 2845 1691 Password: PDEAA

성명Field	PDE and Applied Analysis SeminarㅣA Stokes system with a source/sink-type condition derived from a Boltzmann system with discont
날짜Date	2022-12-16 ~ 2022-12-16	시간Time	13:00 ~ 14:00
소속Affiliation	Kyoto University	초청자Host
소개 및 안내사항Content	Abstract: In this talk, we consider a boundary-value problem of the Boltzmann equation with discontinuous boundary data and its fluid-dynamic approximation in the near continuum regime. More precisely, we consider the steady gas flow between two parallel walls induced by a discontinuous wall temperature. Our motivation for this study is a recent interest in phoretically active particles, typically known as Janus particles. Assuming a small Knudsen number, we derive from the Boltzmann equation a system of Stokes equations for incompressible fluids with a source/sink condition to model the effect of the discontinuous wall temperature. The derivation is based on a matched asymptotic expansion method, which allows us to identify a kinetic region near the point of discontinuity. The present talk is based on a joint work with Tetsuro Tsuji. https://postech-ac-kr.zoom.us/j/96428451691?pwd=YTdPQTMrd1JlVUlzUkk0ZUZkRVM2dz09 Meeting ID: 964 2845 1691 Password: PDEAA

성명Field	PDE and Applied Analysis SeminarㅣA Stokes system with a source/sink-type condition derived from a Boltzmann system with discont
날짜Date	2022-12-16 ~ 2022-12-16	시간Time	13:00 ~ 14:00
호실Host		인원수Affiliation	Satoshi Taguchi
사용목적Affiliation		신청방식Host	Kyoto University
소개 및 안내사항Content	Abstract: In this talk, we consider a boundary-value problem of the Boltzmann equation with discontinuous boundary data and its fluid-dynamic approximation in the near continuum regime. More precisely, we consider the steady gas flow between two parallel walls induced by a discontinuous wall temperature. Our motivation for this study is a recent interest in phoretically active particles, typically known as Janus particles. Assuming a small Knudsen number, we derive from the Boltzmann equation a system of Stokes equations for incompressible fluids with a source/sink condition to model the effect of the discontinuous wall temperature. The derivation is based on a matched asymptotic expansion method, which allows us to identify a kinetic region near the point of discontinuity. The present talk is based on a joint work with Tetsuro Tsuji. https://postech-ac-kr.zoom.us/j/96428451691?pwd=YTdPQTMrd1JlVUlzUkk0ZUZkRVM2dz09 Meeting ID: 964 2845 1691 Password: PDEAA