Singularity analysis of ordinary differential equations is an important tool in the determination of the possible integrability of the equations. Although singularity analysis has been studied for ...

In this paper, we study the well-posedness of the initial-boundary value problems of some quasilinear parabolic equations, namely, nonlinear heat equations and the porous medium equation in the ...

A $1 million prize awaits anyone who can show where the math of fluid flow breaks down. With specially trained AI systems, ...

Can we do away with the troublesome singularity at the heart of black holes? A new paper in JCAP reimagines these extreme objects in light of current knowledge. “Hic sunt leones,” remarks Stefano ...

For the first time, physicists have calculated exactly what kind of singularity lies at the center of a realistic black hole. In January 1916, Karl Schwarzschild, a German physicist who was stationed ...