19 citations · 35 across the 6 of their papers we have counts for
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The continuous collision-induced nonlinear fragmentation equation with non-integrable fragment daughter distributions
Ankik Kumar Giri, Ram Gopal Jaiswal, Philippe Laurençot
Existence, non-existence, and uniqueness of mass-conserving weak solutions to the continuous collision-induced nonlinear fragmentation equations are established for the collision k…
Weak Solutions to the Collision-Induced Breakage Equation with Dominating Coagulation
Ankik Kumar Giri, Philippe Laurençot
Existence and uniqueness of weak solutions to the collision-induced breakage and coag-ulation equation are shown when coagulation is the dominant mechanism for small volumes. The c…
Asymptotic behavior for a singular diffusion equation with gradient absorption
Razvan Gabriel Iagar, Philippe Laurencot
We study the large time behavior of non-negative solutions to the singular diffusion equation with gradient absorption $$ \partial_t u-Δ_{p}u+|\nabla u|^q=0 \quad \hbox{in} \ (0,\i…
Self-similar Solutions to a Kinetic Model for Grain Growth
Michael Herrmann, Philippe Laurençot, Barbara Niethammer
We prove the existence of self-similar solutions to the Fradkov model for two-dimensional grain growth, which consists of an infinite number of nonlocally coupled transport equatio…
Self-similar solutions with fat tails for a coagulation equation with nonlocal drift
Michael Herrmann, Philippe Laurencot, Barbara Niethammer
We investigate the existence of self-similar solutions for a coagulation equation with nonlocal drift. In addition to explicitly given exponentially decaying solutions we establish…