11 citations · 24 across the 12 of their papers we have counts for
14 papers
Global existence of measure-valued solutions to the multicomponent Smoluchowski coagulation equation
Marina A. Ferreira, Sakari Pirnes
Global solutions to the multicomponent Smoluchowski coagulation equation are constructed for measure-valued initial data with minimal assumptions on the moments. The framework is b…
Smoluchowski Coagulation Equation with a Flux of Dust Particles
Marina A. Ferreira, Aleksis Vuoksenmaa
We construct a time-dependent solution to the Smoluchowski coagulation equation with a constant flux of dust particles entering through the boundary at zero. The dust is instantane…
Studying ballistic aggregation phenomena through efficient Time Stepping approaches
Pierre Degond, Giacomo Dimarco, Marina Ferreira +1
This paper deals with the problem of simulating dense dispersed systems composed by large numbers of particles undergoing ballistic aggregation. The most classical approaches for d…
Coagulation equations with source leading to anomalous self-similarity
Marina A. Ferreira, Eugenia Franco, Jani Lukkarinen +2
We study the long-time behaviour of the solutions to Smoluchowski coagulation equations with a source term of small clusters. The source drives the system out-of-equilibrium, leadi…
Long-time asymptotics for coagulation equations with injection that do not have stationary solutions
Iulia Cristian, Marina A. Ferreira, Eugenia Franco +1
In this paper we study a class of coagulation equations including a source term that injects in the system clusters of size of order one. The coagulation kernel is homogeneous, of…
Non-power law constant flux solutions for the Smoluchowski coagulation equation
Marina A. Ferreira, Jani Lukkarinen, Alessia Nota +1
It is well known that for a large class of coagulation kernels, Smoluchowski coagulation equations have particular power law solutions which yield a constant flux of mass along all…
Asymptotic localization in multicomponent mass conserving coagulation equations
Marina A. Ferreira, Jani Lukkarinen, Alessia Nota +1
In this paper we prove that the time dependent solutions of a large class of Smoluchowski coagulation equations for multicomponent systems concentrate along a particular direction…
On the self-similar behaviour of coagulation systems with injection
Marina A. Ferreira, Eugenia Franco, Juan J. L. Velázquez
In this paper we prove the existence of a family of self-similar solutions for a class of coagulation equations with a constant flux of particles from the origin. These solutions a…
Multicomponent coagulation systems: existence and non-existence of stationary non-equilibrium solutions
Marina A. Ferreira, Jani Lukkarinen, Alessia Nota +1
We study multicomponent coagulation via the Smoluchowski coagulation equation under non-equilibrium stationary conditions induced by a source of small clusters. The coagulation ker…
Coagulation equations for aerosol dynamics
Marina A. Ferreira
Binary coagulation is an important process in aerosol dynamics by which two particles merge to form a larger one. The distribution of particle sizes over time may be described by t…
Localization in stationary non-equilibrium solutions for multicomponent coagulation systems
Marina A. Ferreira, Jani Lukkarinen, Alessia Nota +1
We consider the multicomponent Smoluchowski coagulation equation under non-equilibrium conditions induced either by a source term or via a constant flux constraint. We prove that t…
Stationary non-equilibrium solutions for coagulation systems
Marina A. Ferreira, Jani Lukkarinen, Alessia Nota +1
We study coagulation equations under non-equilibrium conditions which are induced by the addition of a source term for small cluster sizes. We consider both discrete and continuous…
A new continuum theory for incompressible swelling materials
Pierre Degond, Marina A. Ferreira, Sara Merino-Aceituno +1
Swelling media (e.g. gels, tumors) are usually described by mechanical constitutive laws (e.g. Hooke or Darcy laws). However, constitutive relations of real swelling media are not…
Damped Arrow-Hurwicz algorithm for sphere packing
Pierre Degond, Marina A. Ferreira, Sébastien Motsch
We consider algorithms that, from an arbitrarily sampling of spheres (possibly overlapping), find a close packed configuration without overlapping. These problems can be formul…