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Consumer expenditures in the United Kingdom account for over 50% of Gross Domestic Product on the expenditure side, yet their impact on economic activity is often Global geometric structures live on m...
Fick’s law for the diffusion of adsorbed atoms adatoms on crystal surfaces below roughening is generalized to account for surface reconstruction. In this case, material parameters vary spatially at ...
The spread of new ideas, behaviors or technologies has been extensively studied using epidemic models. Here we consider a model of diffusion where the individuals’ behavior is the result of a strategi...
Excluded-volume effects can play an important role in determining transport properties in diffusion of particles through crowded environments.
Let u be the solution of ut = log u in RN × (0, T ), N ≥ 3, with initial value u0 satisfying Bk1 (x, 0) ≤ u0 ≤ Bk2(x, 0) for some constants k1 > k2 > 0 where Bk(x, t) = 2(N − 2)(T −t)N/(N...
We analyse conditions for an evolution equation with a drift and fractional diffusion to have a H¨older continuous solution. In case the diffusion is of order one or more, we obtain H¨older estimates ...
The aim of this work is to study the global existence of solutions for some coupled systems of reaction diffusion which describe the spread within a population of infectious disease. We consider a tri...
We prove the existence of non-trivial global minimizers of a class of free energies related to aggregation equations with degenerate diffusion on Rd. Such equations arise in mathematical biology as mo...

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