6 citations · 17 across the 9 of their papers we have counts for
9 papers
Fast fusion in a two-dimensional coagulation model
Iulia Cristian, Juan J. L. Velázquez
In this work, we study a particular system of coagulation equations characterized by two values, namely volume and surface area . Compared to the standard one-dimensional mo…
A thin film model for meniscus evolution
Amrita Ghosh, Juan J. L. Velázquez
In this paper, we discuss a particular model arising from sinking of a rigid solid into a thin film of fluid, i.e. a fluid contained between two solid surfaces and part of the flui…
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…
Vanishing angular singularity limit to the hard-sphere Boltzmann equation
Jin Woo Jang, Bernhard Kepka, Alessia Nota +1
In this note we study Boltzmann's collision kernel for inverse power law interactions for in dimension . We prove the limit of the non-cutoff kernel…
Coagulation equations for non-spherical clusters
Iulia Cristian, Juan J. L. Velázquez
In this work, we study the long time asymptotics of a coagulation model which describes the evolution of a system of particles characterized by their volume and surface area. The a…
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…
Long-time asymptotics and regularity estimates for weak solutions to a doubly degenerate thin-film equation in the Taylor-Couette setting
Christina Lienstromberg, Juan J. L. Velázquez
We study the dynamic behaviour of solutions to a fourth-order quasilinear degenerate parabolic equation for large times arising in fluid dynamical applications. The degeneracy occu…
Qualitative properties of solutions to a non-local free boundary problem modeling cell polarization
Anna Logioti, Barbara Niethammer, Matthias Röger +1
We consider a parabolic non-local free boundary problem that has been derived as a limit of a bulk-surface reaction-diffusion system which models cell polarization. The authors hav…
LTE and Non-LTE Solutions in Gases Interacting with Radiation
Jin Woo Jang, Juan J. L. Velázquez
In this paper, we study a class of kinetic equations describing radiative transfer in gases which include also the interaction of the molecules of the gas with themselves. We discu…