supported by the National Natural Science Foundation of China(Nos.12371351 and 12431013);supported by the National Natural Science Foundation of China(Nos.12031018 and 12431013);the Young Elite Scientist Sponsorship Program by CAST;the Fundamental Research Funds for the Central Universities,Nankai University。
For any positive integer k,the reconfiguration graph for all k-colorings of a graph G,denoted by R_(k)(G),is the graph where vertices represent the k-colorings of G,and two k-colorings are joined by an edge if they di...
supported by National Key R&D Program of China(Grant No.2021YFA0719200);supported by the Shenzhen Science and Technology Program(Grant No.RCJC20221008092757098);supported by the Postdoctoral Science Foundation of China(Grant No.2024M751284)。
This paper proposes a robust and efficient oscillation-eliminating discontinuous Galerkin(OEDG)method for solving multicomponent chemically reacting flows,which is an extension and application of the recent work[M.Pen...
The paper investigates the well-posedness of global solutions and the existence of global attractors for weakly damped FDS nonlinear wave equations.It establishes the well-posedness of weak solutions using Galerkin ap...
supported by the National Key Research and Development Project of China(Grant No.2023YFA1011702);the NSF of China(Grant No.12122115)。
We develop a locally mass-conservative enriched Petrov-Galerkin(EPG)method without any penalty term for the simulation of Darcy flow in fractured porous media.The discrete fracture model is applied to model the fractu...
Professor Avraham (Avy) Soffer was born in Israel on December 28,1955.He earned his Bachelor's,Master's,and Doctor's degrees in Science from Tel-Aviv University in 1976,1980,and 1984,respectively.Between 1978 and 1983...
supported by National Key Research and Development Program of China(No.2020YFA0712900);NSFC(No.112371240 and No.12431008);supported by NSFC(No.12001284)。
In this paper,we consider the fractional critical Schrödinger equation(FCSE)(-Δ)^(s)u-|u|2^(*)s-2 u=0,where u∈˙H^(s)(R^(N)),N≥4,0
partially supported by National Science Foundation of China(No.12171305);Natural Science Foundation of Shanghai(No.20ZR1419400)。
In fluid mechanics and astrophysics,relativistic Euler equations can be used to describe the effects of special relativity which are an extension of the classical Euler equations.In this paper,we will consider the ini...
The semilinear wave equation with logarithmic and polynomial nonlinearities is considered in this paper. By adjusting and using potential well method, we attain the global-in-time existence and infinite time blowup so...
partially supported by the National Natural Science Foundation of China under grant(No.11701145);the Natural Science Foundation of Henan Province(No.232300420111);the Training Plan for Young Backbone Teachers in Colleges and Universities of Henan Province(No.2024GGJS022);partially supported by the National Natural Science Foundation of China under grant(Nos.1971446,12071113 and 11601492);sponsored by Natural Science Foundation of Henan(No.232300421077);partially supported by the National Natural Science Foundation of China(NNSFC)(No.11901040);Beijing Natural Science Foundation(BNSF)(No.1204030);Beijing Municipal Education Commission(KM202011232020)。
In this paper,we are concerned with the minimal regularity of both the density and the velocity for the weak solutions keeping energy equality in the isentropic compressible Navier-Stokes equations.The energy equality...