On the definiteness of associated energy-momentum tensors to a class of general variation problems
Kurt Pagani
TL;DR
This paper investigates the properties of energy-momentum tensors associated with a class of Euler-Lagrange equations, demonstrating their point-wise definiteness under broad conditions.
Contribution
It establishes the point-wise definiteness and related properties of energy-momentum tensors for a specific class of variational problems, extending previous understanding.
Findings
Energy-momentum tensors are point-wise definite for the studied class.
The paper identifies general conditions ensuring definiteness.
Properties of energy-momentum tensors are characterized under broad assumptions.
Abstract
We show the point-wise definiteness and some other properties of the energy-momentum tensor for a certain class of Euler-Lagrange equations under quite general conditions.
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Taxonomy
TopicsNavier-Stokes equation solutions · Advanced Mathematical Physics Problems · Advanced Numerical Methods in Computational Mathematics