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Foundations of potential theory

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The article was published on 1929-01-01 and is currently open access. It has received 2246 citations till now.

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PDF methods for turbulent reactive flows

TL;DR: In this article, the authors proposed a joint probability density function (pdf) of the three components of velocity and of the composition variables (species mass fractions and enthalpy) to calculate the properties of turbulent reactive flow fields.
Book

Diffusions, Markov processes, and martingales

TL;DR: In this paper, the second volume follows on from the first, concentrating on stochastic integrals, stochy differential equations, excursion theory and the general theory of processes.
Journal ArticleDOI

The application of integral equation methods to the numerical solution of some exterior boundary-value problems

TL;DR: The application of integral equation methods to exterior boundary-value problems for Laplace's equation and for the Helmholtz (or reduced wave) equation is discussed in this article, where it is shown that uniqueness can be restored by deriving a second integral equation and suitably combining it with the first.
Book ChapterDOI

The Linear Theory of Elasticity

TL;DR: Linear elasticity is one of the more successful theories of mathematical physics and its pragmatic success in describing the small deformations of many materials is uncontested The origins of the three-dimensional theory go back to the beginning of the 19th century and the derivation of the basic equations by Cauchy, Navier, and Poisson The theoretical development of the subject continued at a brisk pace until the early 20th century with the work of Beltrami, Betti, Boussinesq, Kelvin, Kirchhoff, Lame, Saint-Venant, Somigl