Measure differential equation with a nonlinear growth/decay term

Convergence of the EBT method for a non-local model of cell proliferation with discontinuous interaction kernel

(2022) Piotr Gwiazda et al.   IMA JOURNAL OF NUMERICAL ANALYSIS

Dissipative probability vector fields and generation of evolution semigroups in Wasserstein spaces

(2022) Giulia Cavagnari et al.   PROBABILITY THEORY AND RELATED FIELDS

Bayesian inference of a non-local proliferation model

(2021) Zuzanna Szymańska et al.   Royal Society Open Science

Measure Differential Equations

(2019) Benedetto Piccoli   ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS

Measure solutions to perturbed structured population models – differentiability with respect to perturbation parameter

(2019) Jakub Skrzeczkowski   JOURNAL OF DIFFERENTIAL EQUATIONS

Measure-valued solutions to nonlocal transport equations on networks

(2018) Fabio Camilli et al.   JOURNAL OF DIFFERENTIAL EQUATIONS

A measure theoretic approach to traffic flow optimisation on networks

(2018) SIMONE CACACE et al.   EUROPEAN JOURNAL OF APPLIED MATHEMATICS

Transport of measures on networks

(2017) Fabio Camilli et al.   Networks and Heterogeneous Media

Opinion dynamics on a general compact Riemannian manifold

(2017) Aylin Aydoǧdu et al.   Networks and Heterogeneous Media

The Escalator Boxcar Train method for a system of age-structured equations

(2016) Piotr Gwiazda et al.   Networks and Heterogeneous Media

Measure-Valued Mass Evolution Problems with Flux Boundary Conditions and Solution-Dependent Velocities

(2016) Joep H. M. Evers et al.   SIAM JOURNAL ON MATHEMATICAL ANALYSIS

Mild solutions to a measure-valued mass evolution problem with flux boundary conditions

(2015) Joep H.M. Evers et al.   JOURNAL OF DIFFERENTIAL EQUATIONS

Splitting-particle methods for structured population models: Convergence and applications

(2014) J. A. Carrillo et al.   MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES

Analysis of particle methods for structured population models with nonlocal boundary term in the framework of bounded Lipschitz distance

(2014) Piotr Gwiazda et al.   NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS

Generalized Wasserstein Distance and its Application to Transport Equations with Source

(2013) Benedetto Piccoli et al.   ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS

On the Convergence of the Escalator Boxcar Train

(2013) Åke Brännström et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

An age-structured two-sex model in the space of radon measures: Well posedness

(2012) Agnieszka Ulikowska   Kinetic and Related Models

Structured populations, cell growth and measure valued balance laws

(2011) J.A. Carrillo et al.   JOURNAL OF DIFFERENTIAL EQUATIONS

A nonlinear structured population model: Lipschitz continuity of measure-valued solutions with respect to model ingredients

(2010) Piotr Gwiazda et al.   JOURNAL OF DIFFERENTIAL EQUATIONS

STRUCTURED POPULATION EQUATIONS IN METRIC SPACES

(2010) PIOTR GWIAZDA et al.   Journal of Hyperbolic Differential Equations