41 citations · 275 across the 32 of their papers we have counts for
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Self-similar solutions with fat tails for Smoluchowski's coagulation equation with locally bounded kernels
Barbara Niethammer, Juan J. L. Velazquez
The existence of self-similar solutions with fat tails for Smoluchowski's coagulation equation has so far only been established for the solvable and the diagonal kernel. In this pa…
Fluid accumulation in thin-film fl ows driven by surface tension and gravity (I): Rigorous analysis of a drainage equation
C. M. Cuesta, J. J. L. Velazquez
We derive a boundary layer equation describing accumulation regions within a thin-film approximation framework where gravity and surface tension balance. As part of the analysis of…
On Global Existence of Classical Solutions for the Vlasov-Poisson System in Convex Bounded Domains
Hyung Ju Hwang, Jaewoo Jung, Juan J. L. Velazquez
We prove global existence of strong solutions for the Vlasov-Poisson system in a convex bounded domain in the plasma physics case assuming homogeneous Dirichlet boundary conditions…