The Paper's reporter Zhang Hui correspondent Yin Menghao and Zhang Sirui
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On November 3rd, the project "Nonlinear Intrinsic Structure of Non-Compressible Fluid Equations" jointly completed by Professor Lei Zhen and Professor Zhou Yi of the School of Mathematical Sciences of Fudan University solved a series of key problems in the overall fitness of the solution of fluid equations, and won the second prize of the National Natural Science Award.
Professor Lei Zhen of Fudan School of Mathematical Sciences The pictures in this article are all provided by Fudan University
The Surging News (www.thepaper.cn) reporter learned from Fudan University that the project "Nonlinear Implicit Structure of The System of Non-Compressible Fluid Equations" completed by Lei Zhen and Zhou Yi discovered multiple nonlinear implicit structures and nonlinear identities of the system of non-compressible fluid equations, proposed the concept of "strong zero condition" and solved a number of key problems in the overall appropriateness theory of their solutions.
Lei Zhen and Zhou Yi of Fudan School of Mathematical Sciences jointly won the second prize of the National Natural Science Award
The problems solved include the establishment of the overall fitness of the classical solution near the equilibrium state of the two-dimensional non-compressible elastic mechanics equation system, the overall fitness theory of the classical solution near the equilibrium state of the viscoelastic equation system and the overall viscosity disappearance theory; the three-dimensional axisymmetric non-compressible navigator-stokes equation system proves the criticality of the overall fitness qualitative problem and obtains the liouville property of the bounded ancient solution, and establishes a three-dimensional model that satisfies the energy equation. The nonlinear intrinsic stability structure of convection terms is discovered and accurately characterized, the generalized energy integration method of angular-radial heterogeneity is proposed, and the overall fitness theory of classical solutions near the equilibrium state of Fadeyev's equation system is established.
The project focuses on the overall fitness theory of several important partial differential equation system solutions in physics, eight representative papers he cited a total of 315 times, one of which was published in a domestic journal, three published in the top applied mathematics journal cpam, the research results have been recognized by top international peers including Fields Medal winner Bourgain, Tao Zhexuan, Wolf Prize and Abel Prize winner Sinai, Bocher Prize winner Lin Fanghua, Fermat Award winner Masmoudi and other top international peers.
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