Why is a straight line always the shortest path between two points? 📐 This video explains the result using a variational approach, showing how minimizing distance leads naturally to a straight line ...

Continuum mechanics and materials modeling; bifurcation and stability; perturbation methods; scientific computing; variational calculus. B. J. Spencer, Liquid drop shapes on hexagonal substrates: ...

We develop an intrinsic geometrical setting for higher order constrained field theories. As a main tool we use an appropriate generalization of the classical Skinner-Rusk formalism. Some examples of ...

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ABSTRACT: This paper introduces a new evolutionary system which is uniquely suitable for the description of nonconservative systems in field theories, including quantum mechanics, but is not limited ...

ABSTRACT: This paper introduces a new evolutionary system which is uniquely suitable for the description of nonconservative systems in field theories, including quantum mechanics, but is not limited ...

We present a slightly more broader framework of variational calculus to accommodate differential equations that are not variational as they stand. We discuss two approaches: The first one utilizes ...

About 10 years ago, Alan Garfinkel, a professor in the life sciences department at the University of California, Los Angeles, got a call. It was from his dean, who said that the department had ...

Thanks to the DFG funding, Dr. Leonard Kreutz will be setting up his own research group at the Technical University of Munich. The German Research Foundation (DFG) is providing around 1.2 million ...