Abstract. In 2005, Córdoba, Córdoba, and Fontelos proved that for some initial data, the following nonlocal-drift variant of the 1D Burgers equation does not have global classical solutions ∂tθ+u∂xθ=0 ...
Many transport equations, such as the neutron transport, radiative transfer, and transport equations for waves in random media, have a diffusive scaling that leads to the diffusion equations. In many ...
Branching processes and neutron transport equations represent two interconnected yet distinct areas that lie at the interface of probability theory, statistical physics and applied mathematics.
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