13 citations · 27 across the 13 of their papers we have counts for
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math.AP2017★ 13 cited
Validity of amplitude equations for non-local non-linearities
Christian Kuehn, Sebastian Throm
Amplitude equations are used to describe the onset of instability in wide classes of partial differential equations (PDEs). One goal of the field is to determine simple universal/g…
math.AP2017
Uniqueness of fat-tailed self-similar profiles to Smoluchowski's coagulation equation for a perturbation of the constant kernel
Sebastian Throm
This article is concerned with the question of uniqueness of self-similar profiles for Smoluchowski's coagulation equation which exhibit algebraic decay (fat tails) at infinity. Mo…
math.AP2017★ 2 cited
Precise tail behaviour of self-similar profiles with infinite mass for Smoluchowski's coagulation equation
Sebastian Throm
We consider self-similar profiles to Smoluchowski's coagulation equation for which we derive the precise asymptotic behaviour at infinity. More precisely, we look at so-called fat-…