The dissipative structure for general systems of hyperbolic-parabolic systems with Korteweg-type dispersion

时间:20234月17 1000——11:00

地点:徐汇校区八教505室

报告人:徐江 南京航空航天大学bet3365标准版副院长

摘要:The talk is concerned with generally symmetric hyperbolic-parabolic systems with Korteweg-type dispersion. Referring to those classical efforts, we formulate new structural conditions for the Korteweg-type dispersion and develop the dissipative mechanism of “regularity-gain type”. As an application, it is checked that several concrete model systems (e.g., the compressible Navier-Stokes (-Fourier)-Korteweg equations) satisfy the general structural conditions.

徐江,南京航空航天大学bet3365标准版副院长,江苏省工业与应用数学学会副理事长。2007年在浙江大学获博士学位,2013年入选教育部新世纪优秀人才。曾担任日本九州大学的客座教授和早稻田大学的公派高级研究学者。主要研究一类耗散型流体力学方程的数学理论,在Arch. Rational Mech. Anal., Comm. Math. Phys., Comm. Part. Diff. Eqs., J. Math. Pures Anal., SIAM J. Math. Anal.等国际期刊上发表近70SCI论文,其中ESI高被引论文1篇。研究成果获得2022年教育部自然科学奖二等奖(第一完成人)


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