PDE and Applied Analysis Seminar | Generalized inviscid damping via Fourier analytic control in some 2D fluid models

분야Field
날짜Date	2023-06-05 ~ 2023-06-05	시간Time	16:00 ~ 17:00
장소Place	Math bldg.301	초청자Host
연사Speaker	조민준	소속Affiliation	university of British Columbia
TOPIC	PDE and Applied Analysis Seminar | Generalized inviscid damping via Fourier analytic control in some 2D fluid models
소개 및 안내사항Content	초록: Inviscid damping was named after Landau damping as its hydrodynamic analogue, originally referring to the nonlinear vorticity mixing effect by the shear flows in the 2D Euler equations. In this talk, we broaden the realm of inviscid damping by viewing it as the extra damping mechanism that emerges near certain stationary solutions to the inherently non-dissipative fluid systems. To make it applicable to the low-regularity settings, in contrast to the previous works necessitating high-regularity, we devise a specific kind of Fourier analytic energy estimates to obtain the various types of stability for the target fluid equations. This talk is based on the joint works with Junha Kim and Jihoon Lee.

학회명Field	PDE and Applied Analysis Seminar | Generalized inviscid damping via Fourier analytic control in some 2D fluid models
날짜Date	2023-06-05 ~ 2023-06-05	시간Time	16:00 ~ 17:00
장소Place	Math bldg.301	초청자Host
소개 및 안내사항Content	초록: Inviscid damping was named after Landau damping as its hydrodynamic analogue, originally referring to the nonlinear vorticity mixing effect by the shear flows in the 2D Euler equations. In this talk, we broaden the realm of inviscid damping by viewing it as the extra damping mechanism that emerges near certain stationary solutions to the inherently non-dissipative fluid systems. To make it applicable to the low-regularity settings, in contrast to the previous works necessitating high-regularity, we devise a specific kind of Fourier analytic energy estimates to obtain the various types of stability for the target fluid equations. This talk is based on the joint works with Junha Kim and Jihoon Lee.

성명Field	PDE and Applied Analysis Seminar | Generalized inviscid damping via Fourier analytic control in some 2D fluid models
날짜Date	2023-06-05 ~ 2023-06-05	시간Time	16:00 ~ 17:00
소속Affiliation	university of British Columbia	초청자Host
소개 및 안내사항Content	초록: Inviscid damping was named after Landau damping as its hydrodynamic analogue, originally referring to the nonlinear vorticity mixing effect by the shear flows in the 2D Euler equations. In this talk, we broaden the realm of inviscid damping by viewing it as the extra damping mechanism that emerges near certain stationary solutions to the inherently non-dissipative fluid systems. To make it applicable to the low-regularity settings, in contrast to the previous works necessitating high-regularity, we devise a specific kind of Fourier analytic energy estimates to obtain the various types of stability for the target fluid equations. This talk is based on the joint works with Junha Kim and Jihoon Lee.

성명Field	PDE and Applied Analysis Seminar | Generalized inviscid damping via Fourier analytic control in some 2D fluid models
날짜Date	2023-06-05 ~ 2023-06-05	시간Time	16:00 ~ 17:00
호실Host		인원수Affiliation	조민준
사용목적Affiliation		신청방식Host	university of British Columbia
소개 및 안내사항Content	초록: Inviscid damping was named after Landau damping as its hydrodynamic analogue, originally referring to the nonlinear vorticity mixing effect by the shear flows in the 2D Euler equations. In this talk, we broaden the realm of inviscid damping by viewing it as the extra damping mechanism that emerges near certain stationary solutions to the inherently non-dissipative fluid systems. To make it applicable to the low-regularity settings, in contrast to the previous works necessitating high-regularity, we devise a specific kind of Fourier analytic energy estimates to obtain the various types of stability for the target fluid equations. This talk is based on the joint works with Junha Kim and Jihoon Lee.