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

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 ...

This is a preview. Log in through your library . Abstract We prove a boundary Harnack type inequality for nonnegative solutions to singular equations of p-parabolic type, 2n/(n + 1) < p < 2, in a time ...

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 ...

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 ...

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 ...