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 ...

Our first glimpses into the physics that exist near the center of a black hole are being made possible using 'loop quantum gravity'-- a theory that uses quantum mechanics to extend gravitational ...

"The singularity is the most mysterious and problematic part of a black hole. It's where our concepts of space and time literally no longer make sense." When you purchase through links on our site, we ...

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 ...

Einstein's general theory of relativity, published in 1915, relates spacetime curvature to matter distribution, leading to the Schwarzschild solution describing a black hole. The Schwarzschild ...

How many intelligent civilizations should there be in our galaxy right now? In 1961, the US astrophysicist Frank Drake, who passed away on September 2 at the age of 92, came up with an equation to ...