supported by National Key R&D Program of China(Grant No.2021YFA1000800);National Natural Science Foundation of China(Grant No.12288201);supported by National Natural Science Foundation of China(Grant Nos.12022114 and 12288201);CAS Project for Young Scientists in Basic Research(Grant No.YSBR-031);Youth Innovation Promotion Association of CAS(Grant No.2019002);supported by National Natural Science Foundation of China(Grant No.12201209)。
The study of the hydrodynamic limit of the Boltzmann equation with physical boundary is a challenging problem due to the appearance of the viscous and Knudsen boundary layers.In this paper,the hydrodynamic limit from ...
supported by Zhejiang Provincial Natural Science Foundation of China(LY23A010003).
Letμbe a positive Borel measure on the interval[0,1).The Hankel matrix■with entriesμn,k=μn+k,whereμn=■[0,1)tndμ(t),induces,formally,the operator■where■is an analytic function in.We characterize the measuresμ...
Efforts to protect electric power systems from faults have commonly relied on the use of ultra-high frequency(UHF)antennas for detecting partial discharge(PD)as a common precursor to faults.However,the effectiveness o...
supported by the National Natural Science Foundation of China (Grant Nos. 11931017 and 12071447)。
Three modified sine-Hilbert(sH)-type equations, i.e., the modified sH equation, the modified damped sH equation, and the modified nonlinear dissipative system, are proposed, and their bilinear forms are provided.Based...