19 citations · 35 across the 6 of their papers we have counts for
6 papers
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…
The discrete collision-induced breakage equation with mass transfer: well-posedness and stationary solutions
Mashkoor Ali, Ankik Kumar Giri, Philippe Laurençot
The discrete collisional breakage equation, which captures the dynamics of cluster growth when clusters encounter binary collisions with possible matter transfer, is discussed in t…
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…