11 citations · 24 across the 12 of their papers we have counts for
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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…
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…
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…