應(yīng)yl7703永利官網(wǎng)楊四輩教授和耿俊教授邀請(qǐng)，湖南師范大學(xué)賴柏順教授將于2022年10月7日下午在線舉辦學(xué)術(shù)報(bào)告。

報(bào)告題目: Finite energy Navier-Stokes flows with unbounded gradients induced by localized flux in the half-space

報(bào)告摘要：In this paper we first prove explicit global pointwise estimates of the above solution, showing in particular that it has finite global energy and its derivatives blow up everywhere on the boundary away from the flux. We then use the above solution as a profile to construct solutions of the Navier-Stokes equations which also have finite global energy and unbounded normal derivatives due to the flux. Our main tool is the pointwise estimates of the Green tensor of the Stokes system proved by us in arXiv:2011.00134. We also examine the Stokes flows generated by dipole bumps boundary flux, and identify the regions where the normal derivatives of the solutions tend to positive or negative infinity near the boundary. This is a joint work with Kyungkeun Kang, Chen-Chih Lai and Tai-Peng Tsai.

時(shí) 間：10月7日（星期五）15：00

騰訊會(huì)議ID：203148822

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賴柏順教授簡(jiǎn)介

賴柏順，現(xiàn)為湖南師范大學(xué)“瀟湘學(xué)者”特聘教授.主要從事三維不可壓縮 Navier-Stokes 方程的數(shù)學(xué)理論，其主要成果發(fā)表在 Advances in Mathematics, Trans. Amer. Math. Soc., Siam J. Math. Anal 等期刊上，主持國(guó)際自然科學(xué)基金，湖南省杰出青年基金等項(xiàng)目。

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甘肅省高校應(yīng)用數(shù)學(xué)與復(fù)雜系統(tǒng)省級(jí)重點(diǎn)實(shí)驗(yàn)室

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萃英學(xué)院

2022年10月6日