The theory of functions of a complex variable under Dirac-Pauli representation and its application in fluid dynamics. I

DOI10.1007/BF01898228zbMath0627.76032MaRDI QIDQ1092730

Hui-chuan Shen

Publication date: 1986

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

zbMATH Keywords

Euler's formulaDirac-Pauli representation

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30)

Related Items (4)

Exact solution of Navier-Stokes equations - The theory of functions of a complex variable under Dirac-Pauli representation and its application in fluid dynamis. II ⋮ Chaplygin equation in three-dimensional non-constant isentropic flow - The theory of functions of a complex variable under Dirac-Pauli representation and its application in fluid dynamics. III ⋮ Dissipation mechanics and exact solutions for nonlinear equations of dissipative type. Principle and application of dissipation mechanics. I ⋮ Asymmetric and moving-frame approaches to Navier-Stokes equations

Cites Work

• Dynamical stress function tensor
• The solution of the problem of deflection of an elastic thin plate by the joint action of dynamical lateral pressure, force in central surface and external field on the elastic base
• The relation between the von Kármán equation for the elastic large deflection problem and the Schrödinger equation for the quantum eigenvalues problem
• On The Characteristic Matrices of Covariant Systems
• The particle aspect of meson theory
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