supported by the Agence Nationale de la Recherche Project BORDS(Grant No.ANR-16-CE40-0027-01);the Labex MME-DII;and the CY Initiative of Excellence;Project CYNA(CY Nonlinear Analysis);supported by National Natural Science Foundation of China(Grant No.12101472)。
This paper is dedicated to the global-in-time existence and uniqueness issues of solutions for the inhomogeneous incompressible Hall-magnetohydrodynamics(MHD)system with merely bounded density.In a three-dimensional c...
supported by the National Natural Science Foundation of China(11871305).
In this paper,we study the Cauchy problem of three-dimensional incompressible magnetohydrodynamics with almost symmetrical initial values in the cylindrical coordinates.Here the almost axisymmetric means that(■θu_(0...
supported by the Anhui Provincial Natural Science Foundation(2408085QA031);the third author's work was supported by the National Natural Science Foundation of China(12001033).
This paper studies the global existence and large-time behaviors of weak solutions to the kinetic particle model coupled with the incompressible Navier-Stokes equations in IR3.First,we obtain the global weak solution ...
This paper explores Maxwell’s analogy idea between electromagnetic field lines and incompressible fluid, and explains Faraday’s law and Maxwell’s formula for displacement currents by means of fluid dynamics theory:...
This paper mainly studies the well-posedness of steady incompressible impinging jet flow problem through a 3D axisymmetric finitely long nozzle.This problem originates from the physical phenomena encountered in practi...
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 the National Natural Science Foundation of China (Grant Nos.11925201,and 11988102);the National Key R&D Program of China (Grant No.2020YFE0204200);the Xplore Prize.Numerical simulations were carried out on the TH-2A supercomputer in Guangzhou,China.
We propose a hybrid quantum-classical method,the quantum-enriched large eddy simulation(QELES),for simulating turbulence.The QELES combines the large-scale motion of the large eddy simulation(LES)and the subgrid motio...
supported by the National Natural Science Foundation of China(No.11931013);Natural Science Foundation of Guangxi(No.2022GXNSFDA035078)。
The purpose of this work is to investigate the existence and uniqueness of weak solutions to the initial-boundary value problem for a coupled system of an incompressible non-Newtonian fluid and the Vlasov equation.The...
funded by the Italian Ministry of Education,University and Research(MIUR)in the frame of the Departments of Excellence Initiative 2018-2027 attributed to DICAM of the University of Trento(grant L.232/2016);in the frame of the PRIN 2017 project Innovative numerical methods for evolutionary partial differential equations and applications,the PRIN 2022 project High order structure-preserving semi-implicit schemes for hyperbolic equations.D.is member of INdAM GNCS and was also co-funded by the European Union NextGenerationEU(PNRR,Spoke 7 CN HPC).Views and opinions expressed are however those of the author(s)only and do not necessarily reflect those of the European Union or the European Research Council.Neither the European Union nor the granting authority can be held responsible for them.
This paper presents a mass and momentum conservative semi-implicit finite volume(FV)scheme for complex non-hydrostatic free surface flows,interacting with moving solid obstacles.A simplified incompressible Baer-Nunzia...
supported by the National Natural Science Foundation of China(12371211,12126359);the postgraduate Scientific Research Innovation Project of Hunan Province(XDCX2022Y054,CX20220541).
We study the global unique solutions to the 2-D inhomogeneous incompressible MHD equations,with the initial data(u0,B0)being located in the critical Besov space■and the initial densityρ0 being close to a positive co...