세미나 안내 : Local existence results in Sobolev spaces for generalized MHD equations

일시: 2019.12.11(수) 15:00-16:30

장소: 산업경영학동(E2) Room 3221

연사: 김현석 교수(서강대학교)

제목: Local existence results in Sobolev spaces for generalized MHD equations

초록: We consider generalized MHD equations with fractional diffusions. Existence of local solutionshas been well-known for initial datain Sobolev spaces $H^s$, if $s$ is sufficiently large. The goal of the talk is to present local existence results with initial datain $H^{s_1} \times H^{s_2}$ of lower orders $s_1$ and/or $s_2$, which extend recent existence results by Fefferman, McCormick, Robinson, and Rodrigo(2014, 2017). This is a joint work with Yong Zhou at the Sun Yat-Sen University (Zhuhai), China.