Sentence examples for minimal surface problem from inspiring English sources

Our redistancing procedure is expected to be generalized and widely applied to many fields such as computational fluid dynamics, the minimal surface problem, and elsewhere.

Classical existence theorems for this problem (and in particular for the minimal surface problem) are presented in [15] with references to the original papers by Bombieri, Finn, Miranda, etc. (see e.g.[1], [14], [16] and the references therein).

Among the treated problems are the minimal surface problem, the dynamic analysis of elastic membranes undergoing large deflection, the heat conduction in bodies with temperature dependent conductivity, and the nonlinear fractional wave-diffusion equation.

One example that van Bendegem cites dates back to work done by the 19th-century Belgian physicist Plateau on minimal surface area problems.

First, we justify why minimal surfaces and the problem of finding the surface with minimal area (i.e., solving Plateau's problem) have little to do with garment design.

The problem of determining the minimal surface for a given boundary had first been posed by the Swiss mathematician Leonhard Euler and the French mathematician Joseph-Louis Lagrange in 1760.

The Belgian physicist Joseph Plateau (1801 1883) formulated the mathematical problem of the existence of a minimal surface with a given boundary, which is now named after him.

(3.11) Thus the solution to the nonlinear problem (3.10) can be considered as a minimal surface satisfying the constraint given by the obstacle function φ.

The minimized quantity of boundary molecules results in a minimal surface area.

Finally, we note that the construction of a minimal surface (with zero mean curvature) from a prescribed geodesic is a particular instance of a classical problem in differential geometry, already solved by Björling.

This family of global analysis problems is named for the blind Belgian physicist Joseph Plateau, who demonstrated in 1849 that the minimal surface can be obtained by immersing a wire frame, representing the boundaries, into soapy water.