Mathematicians have found solutions to a 140-year-old, 7-dimensional equation that were not known to exist for more than a century despite its widespread use in modeling the behavior of gases.

The Rocky Mountain Journal of Mathematics, Vol. 49, No. 5 (2019), pp. 1595-1615 (21 pages) W. Aggoune, H. Zahrouni and M. Potier-Ferry, High-order prediction-correction algorithms for unilateral ...

The leading-order term in the asymptotic solution is developed to a class of two-dimensional, singularly perturbed Fredholm integral equations of the first kind. As an application of the results, the ...