Complementary variational principles for a general class of diffusion problems are presented. The theory is illustrated by the electrostatic field and it is shown that Dirichlet's and Thomson's ...

We present an inequality for fractional derivatives related to the Leibniz rule that not only answers positively a conjecture raised by J. I. Diaz, T. Pierantozi, and L. Vázquez but also helps us to ...

Scientific American is part of Springer Nature, which owns or has commercial relations with thousands of scientific publications (many of them can be found at www ...

Principal Diffusion Direction uses colors to map out the different directions that water molecules diffuse through the brain's white matter. This data is then used to reconstruct 3d representations of ...

We must now direct our attention to a small group of proposals for extracting oxygen from the air by purely mechanical means, without the aid of any chemical action. They are founded on one or other ...

Principal Diffusion Direction uses colors to map out the different directions that water molecules diffuse through the brain's white matter. This data is then used to reconstruct 3d representations of ...