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.

Several University of Texas at Austin mathematics faculty, including an incoming assistant professor, have seen their work spotlighted in the science publication Quanta in recent weeks. Distinct in 3D ...

Under investigation in this paper is a (2+1)-dimensional nonlinear Schrödinger equation (NLS), which is a generalisation of the NLS equation. By virtue of Wronskian determinants, an effective method ...

Mathematicians from RUDN University have proved the unique continuation theorem for a one dimensional solution to a fractional order diffusion problem. Such equations are used, for example, to solve ...