The discrete collision-induced breakage equation with mass transfer: well-posedness and stationary solutions - Archive ouverte HAL Accéder directement au contenu
Pré-Publication, Document De Travail Année : 2023

The discrete collision-induced breakage equation with mass transfer: well-posedness and stationary solutions

Mashkoor Ali
  • Fonction : Auteur
  • PersonId : 1220344
Ankik Kumar Giri
  • Fonction : Auteur
  • PersonId : 1073218
Philippe Laurençot

Résumé

The discrete collisional breakage equation, which captures the dynamics of cluster growth when clusters undergo binary collisions with possible matter transfer, is discussed in this article. The existence of global mass-conserving solutions is investigated for the collision kernels $a_{i,j}=A(i^{\alpha} j^{\beta} + i^{\beta}j^{\alpha})$, $i, j \ge 1$, with $\alpha \in (-\infty,1)$, $\beta\in [\alpha,1]\cap (0,1]$, and $A>0$ and for a large class of possibly unbounded daughter distribution functions. All algebraic superlinear moments of these solutions are bounded on time intervals $[T,\infty)$ for any $T>0$. The uniqueness issue is further handled under additional restrictions on the initial data. Finally, non-trivial stationary solutions are constructed by a dynamical approach.
Fichier principal
Vignette du fichier
MA_AKG_PhL_NLDCBE_MASS_TRANSFER_070723.pdf (295.71 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)

Dates et versions

hal-04165364 , version 1 (18-07-2023)

Identifiants

Citer

Mashkoor Ali, Ankik Kumar Giri, Philippe Laurençot. The discrete collision-induced breakage equation with mass transfer: well-posedness and stationary solutions. 2023. ⟨hal-04165364⟩
7 Consultations
6 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More