報(bào)告承辦單位: 數(shù)學(xué)與統(tǒng)計(jì)學(xué)院
報(bào)告題目: Temporal Decay of the Generalized MHD Equations in Some Critical Spaces
報(bào)告內(nèi)容: In this talk I will present the decay estimate of solutions to the 3D generalized magnetohydrodynamic system in the critical space with 1/2≤α≤1 for small initial data. In 2D case with α=1, the global well-posedness of a strong solution in the Lei-Lin space with any initial data in is established. Furthermore, the uniqueness of the strong solution in and the Leray-Hopf weak solution in is proved. I also present the stability problem on perturbation near a physically steady state solution of the 3D generalized incompressible magnetohydrodynamic system in Lei-Lin space. The global stability and analytic estimates for small perturbation are established by the semigroup method in the critical space with , where linear terms from perturbation incur much difficulty.
報(bào)告人姓名: 原保全
報(bào)告人所在單位: 河南大學(xué)
報(bào)告人職稱/職務(wù)及學(xué)術(shù)頭銜: 教授，博士生導(dǎo)師
報(bào)告時(shí)間: 2021年12月8日 16：00——17：00
報(bào)告方式: 騰訊會(huì)議 202836787
報(bào)告人簡介: 原保全，河南理工大學(xué)教授，博士生導(dǎo)師，現(xiàn)任河南理工大學(xué)數(shù)學(xué)與信息科學(xué)學(xué)院院長。河南省高層次人才（C類），河南省數(shù)學(xué)重點(diǎn)學(xué)科帶頭人，河南省數(shù)學(xué)會(huì)常務(wù)理事，河南省第四屆學(xué)科評(píng)議組成員，河南省科技創(chuàng)新杰出青年計(jì)劃獲得者，河南省高?？萍紕?chuàng)人才計(jì)劃獲得者。原保全教授主要從事非線性偏微分方程理論及其應(yīng)用的研究，致力于不可壓縮流體力學(xué)方程的數(shù)學(xué)理論研究，先后主持完成6項(xiàng)國家自然科學(xué)基金項(xiàng)目、5項(xiàng)省部級(jí)項(xiàng)目，發(fā)表學(xué)術(shù)論文70余篇。培養(yǎng)碩士研究生22名，其中3名獲得河南省優(yōu)秀碩士學(xué)位論文，13名研究生考上博士。