長沙理工大學(xué)學(xué)術(shù)活動預(yù)告
報告承辦單位: 數(shù)學(xué)與統(tǒng)計學(xué)院
報告題目: On one-dimension quasilinear wave equations with null conditions
報告內(nèi)容: In this talk, we will show that one-dimension systems of quasilinear wave equations with null conditions admit global classical solutions for small initial data. This result extends Luli, Yang and Yu's seminal work [G.K. Luli, S.Yang, P.Yu, On one-dimension semi-linear wave equations with null conditions, Adv. Math. 329 (2018) 174-188] from the semilinear case to the quasilinear case. Furthermore, we also prove that the global solution is asymptotically free in the energy sense. In order to achieve these goals, we will employ Luli, Yang and Yu's weighted energy estimates with positive weights, introduce some space-time weighted energy estimates and pay some special attentions to the highest order energies, then use some suitable bootstrap process to close the argument. This talk is based on the work [Dongbing Zha, On one-dimension quasilinear wave equations with null conditions. Calc. Var. Partial Differential Equations 59 (2020), no. 3, Paper No. 94, 19 pp]
報告人姓名: 查冬兵
報告人所在單位: 東華大學(xué)
報告人職稱/職務(wù)及學(xué)術(shù)頭銜: 副教授
報告時間: 2020.09.16 15:30-16:30
報告方式: 騰訊會議 會議 ID：230 387 415
報告人簡介: 查冬兵, 男，浙江嘉興人，現(xiàn)任東華大學(xué)副教授、碩士生導(dǎo)師。本科畢業(yè)于山東大學(xué)數(shù)學(xué)學(xué)院，博士畢業(yè)于復(fù)旦大學(xué)數(shù)學(xué)科學(xué)學(xué)院。研究方向為非線性偏微分方程，尤其是雙曲型方程的分析理論。相關(guān)研究論文發(fā)表于 JMPA、CVPDE、ESAIM:COCV、JDE、Forum Math. 等國際知名數(shù)學(xué)雜志。