Nature

\(\beta\)-Fractional \((n+1)\)-dimensional generalized KP model: nonlinear dynamical behaviors, analytical wave structures, bifurcation, and sensitivity analysis

This study introduces an integrable generalization of the Kadomtsev–Petviashvili model in arbitrary spatial dimensions. The Kadomtsev–Petviashvili equation serves as a fundamental framework in ...
Nature

Scaling Relations and Self-Similarity of 3-Dimensional Reynolds-Averaged Navier-Stokes Equations

Scaling conditions to achieve self-similar solutions of 3-Dimensional (3D) Reynolds-Averaged Navier-Stokes Equations, as an initial and boundary value problem, are obtained by utilizing Lie Group of ...
Journalism in the Americas

From Knots to Fluids to Extra Dimensions, Experts Weigh in on Mathematical Challenges

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 ...
Quanta Magazine

Mathematicians Coax Fluid Equations Into Nonphysical Solutions

The famed Navier-Stokes equations can lead to cases where more than one result is possible, but only in an extremely narrow set of situations. For nearly two centuries, all kinds of researchers ...