9 citations · 18 across the 5 of their papers we have counts for
5 papers
Non Maxwellian long-time asymptotics for Homoenergetic Boltzmann flows under strong shear
Alessia Nota, Juan J. L. Velázquez
We compute, using matched asymptotic expansions, the long-time asymptotics of homoenergetic solutions to the nonlinear Boltzmann equation, in presence of a shear term, in the hyper…
Exponential tail behaviour of self-similar solutions to Smoluchowski's coagulation equation
Barbara Niethammer, Juan J. L. Velazquez
We consider self-similar solutions with finite mass to Smoluchowski's coagulation equation for rate kernels that have homogeneity zero but are possibly singular such as Smoluchowsk…
Uniqueness of self-similar solutions to Smoluchowski's coagulation equations for kernels that are close to constant
B. Niethammer, J. J. L. Velázquez
We consider self-similar solutions to Smoluchowski's coagulation equation for kernels that are homogeneous of degree zero and close to constant in the sense that \[ -\ep…
Asymptotics of self-similar solutions to coagulation equations with product kernel
J. B. McLeod, B. Niethammer, J. J. L. Velázquez
We consider mass-conserving self-similar solutions for Smoluchowski's coagulation equation with kernel with . It is known that such self-similar solu…
Optimal bounds for self-similar solutions to coagulation equations with product kernel
Barbara Niethammer, Juan J. L. Velazquez
We consider mass-conserving self-similar solutions of Smoluchowski's coagulation equation with multiplicative kernel of homogeneity . We establish rigorously that suc…