On the shape of Meissner solutions to the Ginzburg-Landau system

主講人：項(xiàng)杏飛 同濟(jì)大學(xué)副教授

時(shí)間：2024年4月10日10：00

地點(diǎn)：三號(hào)樓301室

舉辦單位：數(shù)理學(xué)院

主講人介紹：項(xiàng)杏飛，同濟(jì)大學(xué)數(shù)學(xué)科學(xué)學(xué)院副教授，博導(dǎo)。2012年博士畢業(yè)于華東師范大學(xué)，主要研究方向?yàn)橄蛄繄?chǎng)的估計(jì)及其應(yīng)用、帶有旋度算子方程組的研究以及Ginzburg-Landau方程的研究，在Arch. Ration. Mech. Anal.、 Math. Ann.、SIAM J. Math. Anal.等國(guó)際主流數(shù)學(xué)雜志發(fā)表論文10余篇。

內(nèi)容介紹：In this talk, we will consider the location of the nucleation of instability of the Meissner solutions when the applied magnetic field is increased in the transition between the Meissner state and the vortex state. For superconductors with small penetration depth， our results show that the location is different in the case of the finite and infinite Ginzburg-Landau parameter. We also show that the solutions decay exponentially in the normal direction away from the boundary. This is a joint work with professor Xingbin Pan at CUHK-Shenzhen.