Dissipation mechanics and exact solutions for nonlinear equations of dissipative type. Principle and application of dissipation mechanics. I

DOI10.1007/BF01896976zbMath0626.76004OpenAlexW2001450330MaRDI QIDQ581123

Hui-chuan Shen

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1007/bf01896976

zbMATH Keywords

Schrödinger equationDirac equationdissipation mechanicsmacroscopic non-equilibrium thermodynamics

Mathematics Subject Classification ID

Quantum equilibrium statistical mechanics (general) (82B10) Diffusion and convection (76R99) Irreversible thermodynamics, including Onsager-Machlup theory (82B35) Foundations of fluid mechanics (76A02)

Related Items (1)

Exact solution of the Boltzmann equation

Cites Work

• The Schrödinger equation of thin shell theories
• 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
• General solution of elastodynamics
• The theory of functions of a complex variable under Dirac-Pauli representation and its application in fluid dynamics. I
• 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
• Solutions of magnetohydrodynamics equations - The theory of functions of a complex variable under Dirac-Pauli representation and its application in fluid dynamics. IV
• Nonlinear-Evolution Equations of Physical Significance
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