A New Approach to Transport Equations Associated to a Regular Field: Trace Results and Well-posedness

article published in 2009

A generalization of Desch--Schappacher--Webb criteria for chaos

A semigroup related to a convex combination of boundary conditions obtained as a result of averaging other semigroups

article by Jacek Banasiak & Adam Bobrowski published 15 October 2014 in Journal of Evolution Equations

A singular limit for an age structured mutation problem

scientific article published in February 2017

A singularly perturbed SIS model with age structure

scientific article published in June 2013

A singularly perturbed age structured SIRS model with fast recovery

ASYMPTOTIC ANALYSIS FOR A PARTICLE TRANSPORT EQUATION WITH INELASTIC SCATTERING IN EXTENDED KINETIC THEORY

Aggregation in age and space structured population models: an asymptotic analysis approach

scientific article published in December 2010

Analysis and simulations of the discrete fragmentation equation with decay

Analytic Fragmentation Semigroups and Classical Solutions to Coagulation–fragmentation Equations — a Survey

Analytic fragmentation semigroups and continuous coagulation–fragmentation equations with unbounded rates

Around the Kato generation theorem for semigroups

Asymptotic Analysis of Abstract Linear Kinetic Equations

Asymptotic Analysis of Structured Population Models

Asymptotic Expansion Method in a Singularly Perturbed McKendrick Problem

Asymptotic analysis of the linear Boltzmann equation with and without an external field: Comparison of various approaches

Asymptotic behaviour of flows on reducible networks

Asymptotic state lumping in transport and diffusion problems on networks with applications to population problems

Asynchronous Exponential Growth of a General Structured Population Model

B-BOUNDED SEMIGROUPS AND C-EXISTENCE FAMILIES

Biomathematics/advanced analysis in pure and applied sciences

Birth-and-Death Type Systems with Parameter and Chaotic Dynamics of some Linear Kinetic Models

CONSERVATIVE AND SHATTERING SOLUTIONS FOR SOME CLASSES OF FRAGMENTATION MODELS

Canard solutions in equations with backward bifurcations of the quasi-steady state manifold

Causal Relations in Support of Implicit Evolution Equations

Challenges in the Numerical Solution for Models in Transport Theory

Chaos for a class of linear kinetic models

Chaos in Kolmogorov systems with proliferation – general criteria and applications

Chaotic behavior of semigroups related to the process of gene amplification-deamplification with cell proliferation

scientific article published on 30 September 2005

Coagulation, fragmentation and growth processes in a size structured population

Conclusion

Conservativeness in nonlocal fragmentation models

Controlling number of particles in fragmentation equations

Delayed stability switches in singularly perturbed predator–prey models

scholarly article by Jacek Banasiak & M.S. Seuneu Tchamga published June 2017 in Nonlinear Analysis

Diffusion Approximation for the Linear Boltzmann Equation of Semiconductor Theory with Analysis of the Initial Layer

Diffusion Approximation of Linear Kinetic Equations with Non‐equilibrium Data—Computational Experiments

Diffusion Limit of the Telegraph Equation

Diffusion approximations of a linear kinetic equation with inelastic scattering: Asymptotic analysis and numerical results

Diffusion limit for a linear kinetic equation

Diffusion limit for the linear boltzmann equation of the neutron transport theory

Dynamics of birth-and-death processes with proliferation - stability and chaos

Erratum: On transport equations driven by a non-divergence free force fieldMath. Meth. Appl. Sci. 2007 (DOI: 10.1002/mma.817)

scholarly article published in Mathematical Methods in the Applied Sciences

Explicit formulae for limit periodic flows on networks

From Microscopic to Macroscopic Descriptions

From the guest editors

scientific article published in June 2013

GLOBAL SOLVABILITY OF A FRAGMENTATION-COAGULATION EQUATION WITH GROWTH AND RESTRICTED COAGULATION

Generalized network transport and Euler-Hille formula

Generation results forB-bounded semigroups

Global classical solutions of coagulation–fragmentation equations with unbounded coagulation rates

Global strict solutions to continuous coagulation–fragmentation equations with strong fragmentation

INTERPLAY OF ELASTIC AND INELASTIC SCATTERING OPERATORS IN EXTENDED KINETIC MODELS AND THEIR HYDRODYNAMIC LIMITS: REFERENCE MANUAL

Inelastic scattering models in transport theory and their small mean free path analysis

Interplay between degenerate convergence of semigroups and asymptotic analysis: a study of a singularly perturbed abstract telegraph system

Introduction to the Chapman–Enskog Method: Linear Models with Migrations

Kinetic Model of Alignment

Kinetic Models in Natural Sciences

Kinetic models - mathematical models of everything?: Comment on "Collective learning modeling based on the kinetic theory of active particles" by D. Burini et al.

scientific article published on 22 January 2016

Kinetic models for crowd dynamics: Comment on "Human behaviours in evacuation crowd dynamics: From modelling to "big data" toward crisis management" by N. Bellomo et al.

scientific article

Kinetic‐Type Models With Diffusion: Conservative And Nonconservative Solutions

MATHEMATICAL PROPERTIES OF INELASTIC SCATTERING MODELS IN LINEAR KINETIC THEORY

Mathematical Modelling in One Dimension

Multi-scale problems in complex domains - a mathematical framework for systems biology: comment on "On the interplay between mathematics and biology, hallmarks toward a new systems biology" by N. Bellomo, A. Elaiw, A.M. Althiabi and M.A. Alghamdi

scientific article published on 13 January 2015

Multiple Solutions to Linear Kinetic Equations

Multiscale approach in mathematical biologyComment on “Toward a mathematical theory of living systems focusing on developmental biology and evolution: A review and perspectives” by Bellomo and Carbonaro ⬇️

scientific article published on January 15, 2011

Nonautonomous fragmentation equation via evolution semigroups

ON A MACROSCOPIC LIMIT OF A KINETIC MODEL OF ALIGNMENT

ON AN EXTENSION OF THE KATO-VOIGT PERTURBATION THEOREM FOR SUBSTOCHASTIC SEMIGROUPS AND ITS APPLICATION

On General Transport Equations with Abstract Boundary Conditions. The Case of Divergence Free Force Field

On L2-solvability of mixed boundary value problems for elliptic equations in plane non-smooth domains

On Well-Posedness of a Boltzmann-Like Semiconductor Model

On a coagulation and fragmentation equation with mass loss

On a diffusion-kinetic equation arising in extended kinetic theory

article published in 2000

On a non-uniqueness in fragmentation models

On a three-stage structured model for the dynamics of malaria transmission with human treatment, adult vector demographics and one aquatic stage

scientific article published on 02 January 2019

On an irregular dynamics of certain fragmentation semigroups

On conservativity and shattering for an equation of phytoplankton dynamics

scientific article

On mixed boundary value problems of Dirichlet oblique-derivative type in plane domains with piecewise differentiable boundary

scientific article published in May 1989

On the application of substochastic semigroup theory to fragmentation models with mass loss

On the existence of moments of solutions to fragmentation equations

On transport equations driven by a non-divergence-free force field

Population Models with Projection Matrix with Some Negative Entries - A Solution to the Natchez Paradox

Positivity in Natural Sciences

Preface

Preface

Pseudospectral Laguerre approximation of transport–fragmentation equations

Quasi steady-state solutions of kinetic equations in runaway regime

REMARKS ON THE SOLVABILITY OF THE INHOMOGENEOUS ABSTRACT CAUCHY PROBLEM FOR LINEAR AND SEMILINEAR EVOLUTION EQUATIONS

Relative entropy and discrete Poincaré inequalities for reducible matrices

Remark on a trace theorem for transmission problems

Semigroup approach to diffusion and transport problems on networks

Semigroups for Generalized Birth-and-Death Equations in lp Spaces

Shattering and non-uniqueness in fragmentation models—an analytic approach

Singularly Perturbed Linear and Semilinear Hyperbolic Systems: Kinetic Theory Approach to Some Folk’s Theorems

Singularly Perturbed Population Models with Reducible Migration Matrix: 2. Asymptotic Analysis and Numerical Simulations

Singularly perturbed population models with reducible migration matrix 1. Sova-Kurtz theorem and the convergence to the aggregated model

Singularly perturbed telegraph equations with applications in the random walk theory

Small Parameter Methods: Basic Ideas

Solvability of Age-Structured Epidemiological Models with Intracohort Transmission

article

Solvability of linear kinetic equations with multi-energetic inelastic scattering

Some transport and diffusion processes on networks and their graph realizability

Spectral theorems of voigt type for linear Boltzmann equation with external field

Strictly substochastic semigroups with application to conservative and shattering solutions to fragmentation equations with mass loss

Strong fragmentation and coagulation with power-law rates

TOPOLOGICAL CHAOS FOR BIRTH-AND-DEATH-TYPE MODELS WITH PROLIFERATION

The Existence of Moments of Solutions to Transport Equations with Inelastic Scattering and their Application in the Asymptotic Analysis

The Tikhonov Theorem in Some Models of Mathematical Biosciences

The discrete fragmentation equation: Semigroups, compactness and asynchronous exponential growth

Tikhonov–Vasilyeva Theory

Topological chaos: When topology meets medicine

Transport processes with coagulation and strong fragmentation