Jacek Banasiak
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Polish mathematician
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Mathematics
Jacek Banasiak's Degrees
- PhD Mathematics University of Warsaw
Why Is Jacek Banasiak Influential?
(Suggest an Edit or Addition)According to Wikipedia, Jacek Banasiak FAAS is a Polish mathematician who is a Professor and South African Research Chair in Mathematical Models and Methods in Biosciences and Bioengineering at the University of Pretoria, South Africa.
Jacek Banasiak's Published Works
Number of citations in a given year to any of this author's works
Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author
Published Works
- Perturbations of Positive Semigroups with Applications (2005) (219)
- Singularly perturbed telegraph equations with applications in the random walk theory (1998) (89)
- Methods of Small Parameter in Mathematical Biology (2014) (80)
- Singularly Perturbed Evolution Equations with Applications to Kinetic Theory (1995) (63)
- Analytic Methods for Coagulation-Fragmentation Models (2019) (63)
- Coagulation, fragmentation and growth processes in a size structured population (2009) (54)
- A Generalization of Desch-Schappacher-Webb Criteria for Chaos (2005) (52)
- ON AN EXTENSION OF THE KATO-VOIGT PERTURBATION THEOREM FOR SUBSTOCHASTIC SEMIGROUPS AND ITS APPLICATION (2001) (46)
- Strictly substochastic semigroups with application to conservative and shattering solutions to fragmentation equations with mass loss (2004) (45)
- Asynchronous Exponential Growth of a General Structured Population Model (2012) (42)
- Analytic fragmentation semigroups and continuous coagulation-fragmentation equations with unbounded rates (2012) (38)
- Dynamics of birth-and-death processes with proliferation - stability and chaos (2010) (37)
- Global strict solutions to continuous coagulation–fragmentation equations with strong fragmentation (2011) (35)
- TOPOLOGICAL CHAOS FOR BIRTH-AND-DEATH-TYPE MODELS WITH PROLIFERATION (2002) (34)
- Asymptotic state lumping in transport and diffusion problems on networks (2015) (33)
- On a non‐uniqueness in fragmentation models (2002) (31)
- On Mixed Boundary Value Problems of Dirichlet Oblique-Derivative Type in Plane Domains with Piecewise Differentiable Boundary (1989) (30)
- On the application of substochastic semigroup theory to fragmentation models with mass loss (2003) (30)
- Global classical solutions of coagulation-fragmentation equations with unbounded coagulation rates (2012) (29)
- Shattering and non-uniqueness in fragmentation models—an analytic approach (2006) (29)
- CONSERVATIVE AND SHATTERING SOLUTIONS FOR SOME CLASSES OF FRAGMENTATION MODELS (2004) (27)
- Evolutionary equations with applications in natural sciences (2015) (26)
- Transport processes with coagulation and strong fragmentation (2011) (24)
- Semigroup approach to diffusion and transport problems on networks (2015) (24)
- Semigroups for Generalized Birth-and-Death Equations in lp Spaces (2006) (24)
- Chaos for a class of linear kinetic models (2001) (23)
- Aggregation in age and space structured population models: an asymptotic analysis approach (2011) (23)
- Multiscale Problems in the Life Sciences (2008) (22)
- Chaotic behavior of semigroups related to the process of gene amplification-deamplification with cell proliferation. (2007) (22)
- Strong fragmentation and coagulation with power-law rates (2013) (22)
- Asymptotic behaviour of flows on reducible networks (2014) (22)
- A New Approach to Transport Equations Associated to a Regular Field: Trace Results and Well-posedness (2006) (21)
- The discrete fragmentation equations : semigroups, compactness and asynchronous exponential growth (2012) (19)
- Some transport and diffusion processes on networks and their graph realizability (2015) (19)
- The big unknown: The asymptomatic spread of COVID-19 (2020) (18)
- On a macroscopic limit of a kinetic model of alignment (2012) (18)
- MATHEMATICAL PROPERTIES OF INELASTIC SCATTERING MODELS IN LINEAR KINETIC THEORY (2000) (18)
- Inelastic scattering models in transport theory and their small mean free path analysis (2000) (17)
- Density in Arbitrary Semigroups (2006) (16)
- On General Transport Equations with Abstract Boundary Conditions. The Case of Divergence Free Force Field (2011) (15)
- ASYMPTOTIC ANALYSIS FOR A PARTICLE TRANSPORT EQUATION WITH INELASTIC SCATTERING IN EXTENDED KINETIC THEORY (1998) (15)
- Diffusion limit for the linear boltzmann equation of the neutron transport theory (1994) (14)
- On conservativity and shattering for an equation of phytoplankton dynamics. (2004) (14)
- From Microscopic to Macroscopic Descriptions (2014) (13)
- On a coagulation and fragmentation equation with mass loss (2006) (12)
- Interplay between degenerate convergence of semigroups and asymptotic analysis: a study of a singularly perturbed abstract telegraph system (2009) (12)
- GLOBAL SOLVABILITY OF A FRAGMENTATION-COAGULATION EQUATION WITH GROWTH AND RESTRICTED COAGULATION (2009) (12)
- Mathematical Modelling in One Dimension: An Introduction via Difference and Differential Equations (2013) (12)
- Diffusion Approximation for the Linear Boltzmann Equation of Semiconductor Theory with Analysis of the Initial Layer (1997) (12)
- Multiscale problems in the life sciences : from microscopic to macroscopic : lectures given at the Banach Center and C.I.M.E. joint summer school held in Bȩdlewo, Poland, September 4-9, 2006 (2008) (12)
- On a diffusion-kinetic equation arising in extended kinetic theory (2000) (11)
- Singularly Perturbed Linear and Semilinear Hyperbolic Systems: Kinetic Theory Approach to Some Folk’s Theorems (1997) (11)
- ON WELL-POSEDNESS OF A BOLTZMANN-LIKE SEMICONDUCTOR MODEL (2003) (11)
- Around the Kato generation theorem for semigroups (2007) (10)
- On corner singularities of solutions to mixed boundary-value problems for second-order elliptic and parabolic equations (1991) (10)
- ASYMPTOTIC ANALYSIS OF THE FOKKER-PLANCK EQUATION RELATED TO BROWNIAN MOTION (1994) (10)
- Hypercyclicity and chaoticity spaces of $C_0$ semigroups (2007) (9)
- A singularly perturbed SIS model with age structure. (2013) (9)
- INTERPLAY OF ELASTIC AND INELASTIC SCATTERING OPERATORS IN EXTENDED KINETIC MODELS AND THEIR HYDRODYNAMIC LIMITS: REFERENCE MANUAL (2002) (9)
- Discrete growth–decay–fragmentation equation: well-posedness and long-term dynamics (2019) (9)
- A singular limit for an age structured mutation problem. (2016) (9)
- Controlling number of particles in fragmentation equations (2010) (9)
- Topological chaos: When topology meets medicine (2003) (9)
- A complete description of dynamics generated by birth-and-death problem: a semigroup approach (2003) (9)
- Chaotic linear dynamical systems with applications (2003) (9)
- On transport equations driven by a non‐divergence‐free force field (2007) (9)
- Analysis and simulations of the discrete fragmentation equation with decay (2018) (8)
- On an irregular dynamics of certain fragmentation semigroups (2011) (8)
- Nonautonomous fragmentation equation via evolution semigroups (2010) (8)
- Multiple Solutions to Linear Kinetic Equations (2003) (8)
- CONSERVATIVE AND NON-CONSERVATIVE BOLTZMANN-TYPE MODELS OF SEMICONDUCTOR THEORY (2006) (8)
- Kinetic Models in Natural Sciences (2015) (7)
- On L2-solvability of mixed boundary value problems for elliptic equations in plane non-smooth domains (1992) (7)
- Logarithmic norms and regular perturbations of differential equations (2020) (7)
- Mathematical analysis of the impact of transmission-blocking drugs on the population dynamics of malaria (2021) (7)
- A singularly perturbed age structured SIRS model with fast recovery (2014) (7)
- Kinetic‐Type Models With Diffusion: Conservative And Nonconservative Solutions (2007) (7)
- A semigroup related to a convex combination of boundary conditions obtained as a result of averaging other semigroups (2015) (7)
- Singularly perturbed population models with reducible migration matrix 1. Sova-Kurtz theorem and the convergence to the aggregated model (2014) (7)
- On a three-stage structured model for the dynamics of malaria transmission with human treatment, adult vector demographics and one aquatic stage. (2019) (7)
- Blow-up of solutions to some coagulation and fragmentation equations with growth (2011) (6)
- Generation results forB-bounded semigroups (1998) (6)
- Singularly Perturbed Population Models with Reducible Migration Matrix: 2. Asymptotic Analysis and Numerical Simulations (2014) (6)
- Spreading Speeds and Traveling Waves for Monotone Systems of Impulsive Reaction–Diffusion Equations: Application to Tree–Grass Interactions in Fire-prone Savannas (2019) (6)
- Generalized network transport and Euler-Hille formula (2018) (6)
- Effective and ineffective treatment in a malaria model for humans in an endemic region (2019) (6)
- Positivity in Natural Sciences (2008) (6)
- ASYMPTOTIC ANALYSIS OF A MODEL KINETIC EQUATION (1995) (5)
- Growth–fragmentation–coagulation equations with unbounded coagulation kernels (2020) (5)
- Pseudospectral Laguerre approximation of transport-fragmentation equations (2014) (5)
- Multiscale approach in mathematical biology: comment on "Toward a mathematical theory of living systems focusing on developmental biology and evolution: a review and perspectives" by Bellomo and Carbonaro. (2011) (5)
- Delayed stability switches in singularly perturbed predator-prey models (2016) (5)
- Birth-and-Death Type Systems with Parameter and Chaotic Dynamics of some Linear Kinetic Models (2005) (5)
- Chaos in Kolmogorov systems with proliferation – general criteria and applications (2011) (5)
- Semigroups of Operators -Theory and Applications (2015) (5)
- Global solutions of continuous coagulation-fragmentation equations with unbounded coefficients (2019) (5)
- Solvability of linear kinetic equations with multi-energetic inelastic scattering (2003) (5)
- Diffusion limit for a linear kinetic equation (1995) (5)
- Explicit formulae for limit periodic flows on networks (2016) (5)
- Transport on Networks—A Playground of Continuous and Discrete Mathematics in Population Dynamics (2019) (4)
- Chaotic linear systems in mathematical biology (2008) (4)
- B-bounded semigroups and implicit evolution equations (2000) (4)
- On the existence of moments of solutions to fragmentation equations (2014) (4)
- Diffusion approximations of a linear kinetic equation with inelastic scattering: Asymptotic analysis and numerical results (1999) (4)
- Universality of dishonesty of substochastic semigroups: Shatteringfragmentation and explosive birth-and-death processes (2005) (4)
- Asymptotic Analysis of Abstract Linear Kinetic Equations (1996) (4)
- On asymptotics of solutions of elliptic mixed boundary value problems of second-order in domains with vanishing edges (1992) (4)
- Relative entropy and discrete Poincaré inequalities for reducible matrices (2012) (4)
- Epidemiological models with quadratic equation for endemic equilibria—A bifurcation atlas (2020) (3)
- Telegraph systems on networks and port-Hamiltonians. I. Boundary conditions and well-posedness (2021) (3)
- The discrete unbounded coagulation-fragmentation equation with growth, decay and sedimentation (2018) (3)
- Aggregation Methods in Analysis of Complex Multiple Scale Systems (2018) (3)
- Causal Relations in Support of Implicit Evolution Equations (2018) (3)
- Analytic Fragmentation Semigroups and Classical Solutions to Coagulation–fragmentation Equations — a Survey (2019) (3)
- On spectral gaps of growth-fragmentation semigroups in higher moment spaces (2020) (3)
- Coagulation and Fragmentation (2019) (3)
- Asymptotic analysis of the linear Boltzmann equation with and without an external field: Comparison of various approaches (1997) (3)
- Semigroups for general transport equations with abstract boundary conditions (2007) (3)
- Remark on a trace theorem for transmission problems (1995) (2)
- A COUNTEREXAMPLE IN THE THEORY OF MIXED BOUNDARY VALUE PROBLEMS FOR ELLIPTIC EQUATIONS IN NON-SMOOTH DOMAINS (1993) (2)
- Long term dynamics of the discrete growth-decay-fragmentation equation (2018) (2)
- Positive Solutions to Sobolev Type Equations with Relatively p-Sectorial Operators (2020) (2)
- Kinetic models - mathematical models of everything?: Comment on "Collective learning modeling based on the kinetic theory of active particles" by D. Burini et al. (2016) (2)
- Some remarks on the renormalization group and Chapman‐Enskog type methods in singularly perturbed problems (2020) (2)
- ON THE EXISTENCE OF PROPAGATORS IN STATIONARY WIGNER EQUATION WITHOUT VELOCITY CUT-OFF (2001) (2)
- Chapman-Enskog asymptotic procedure in structuredpopulation dynamics (2010) (2)
- 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. (2015) (2)
- B-BOUNDED SEMIGROUPS AND C-EXISTENCE FAMILIES (2002) (2)
- Conservativeness in nonlocal fragmentation models (2009) (2)
- A Note on the Tikhonov Theorem on an Infinite Interval (2019) (2)
- Diffusion Approximation of Linear Kinetic Equations with Non‐equilibrium Data—Computational Experiments (2004) (2)
- Epidemiological models with quadratic equation for endemic equilibria --- a bifurcation atlas (2020) (1)
- Kinetic Model of Alignment (2014) (1)
- 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. (2016) (1)
- Challenges in the Numerical Solution for Models in Transport Theory (2007) (1)
- Telegraph type systems on networks and port-Hamiltonians. II. Graph realizability (2021) (1)
- Asymptotic Analysis of Structured Population Models (2008) (1)
- Kinetic models – mathematical models of everything ? Comment on “ Collective learning Modelling Based on the Kinetic Theory of Active Particles ” (2016) (1)
- Telegraph systems on networks and port-Hamiltonians. Ⅱ. Network realizability (2022) (1)
- Explicit solutions to some fragmentation equations with growth or decay (2021) (1)
- How to Be Positive in Natural Sciences? (2021) (1)
- Numerical Modelling of Kinetic Equations (2006) (1)
- The Existence of Moments of Solutions to Transport Equations with Inelastic Scattering and their Application in the Asymptotic Analysis (2000) (1)
- Canard-type solutions in epidemiological models (2015) (1)
- Mathematical Modelling in One Dimension: Mathematical toolbox (2013) (1)
- Space homogeneous solutions of the linear Boltzmann equation for semiconductors: a semigroup approach (2002) (1)
- Canard solutions in equations with backward bifurcations of the quasi-steady state manifold (2019) (1)
- Basic Concepts (2019) (1)
- On Regularity of Solutions to Inner Obstacle Problems (1993) (1)
- REMARKS ON THE SOLVABILITY OF THE INHOMOGENEOUS ABSTRACT CAUCHY PROBLEM FOR LINEAR AND SEMILINEAR EVOLUTION EQUATIONS (1999) (1)
- Gelation and Shattering (2019) (0)
- Foreword to BIOMATH 2017 Proceedings: Some comments on mathematical modelling and biomathematics. (2018) (0)
- From discrete to continuous models and back (2012) (0)
- Solvability of Coagulation-Fragmentation Equations (2019) (0)
- Asynchronous Exponential Growth of a General Structured Population Model (2011) (0)
- Applications to spatially inhomogeneous linear Boltzmann equation (1995) (0)
- Analytic Fragmentation Semigroups and Classical Solutions to Coagulation–fragmentation Equations — a Survey (2018) (0)
- Solvability of Age-Structured Epidemiological Models with Intracohort Transmission (2015) (0)
- Semigroups of Operators -Theory and Applications : Będlewo, Poland, October 2013 (2015) (0)
- Singularly perturbed systems with non-isolated limit manifolds and applications in mathematical biology (2015) (0)
- Spectral theorems of voigt type for linear Boltzmann equation with external field (1998) (0)
- Telegraph systems on networks and port-Hamiltonians. Ⅲ. Explicit representation and long-term behaviour (2021) (0)
- Erratum: On transport equations driven by a non‐divergence free force field Math. Meth. Appl. Sci. 2007 (DOI: 10.1002/mma.817) (2007) (0)
- Strong fragmentation and coagulation with power-law rates (2013) (0)
- Applications to kinetic equations with bounded collision operators (1995) (0)
- A semigroup related to a convex combination of boundary conditions obtained as a result of averaging other semigroups (2014) (0)
- Some singular-singularly perturbed evolution equations and kinetic equation (1995) (0)
- Abstract transport equations with divergence free force field (2009) (0)
- Road transport of liquid aluminium (2016) (0)
- Diffusion Limit of the Telegraph Equation (2014) (0)
- CHAOS IN SOME LINEAR KINETIC MODELS (2004) (0)
- Introduction to the Chapman–Enskog Method: Linear Models with Migrations (2014) (0)
- Preface to the special issue BIOMATH 2019 (2020) (0)
- Mathematical Modelling in One Dimension: Basic differential equations models (2013) (0)
- BOOK OF ABSTRACTS Scientific and Organizing Committee (2016) (0)
- Introduction to Volume II (2019) (0)
- Bus Centric Rapid Transit (2011) (0)
- QUASI STEADY-STATE SOLUTIONS OF KINETIC EQUATIONS IN RUNAWAY REGIME (1999) (0)
- Small Parameter Methods: Basic Ideas (2014) (0)
- The Tikhonov Theorem in Some Models of Mathematical Biosciences (2014) (0)
- Solvability of Age-Structured Epidemiological Models with Intracohort Transmission (2015) (0)
- Application to kinetic equation with external field (1995) (0)
- Biomathematics/advanced analysis in pure and applied sciences (2018) (0)
- Quality of packaging for transport of dangerous goods by air (2019) (0)
- Hilbert space theory for equations of kinetic type (1995) (0)
- Asymptotic Expansion Method in a Singularly Perturbed McKendrick Problem (2014) (0)
- On the Discrete Decay-Fragmentation Equation with Bounded Coagulation Rate (2017) (0)
- Applications to equations of Fokker-Planck type (1995) (0)
- BIOMATH - 2021 International Conference and School for Young Scientists (2021) (0)
- Development of asymptotic methods for singularly perturbed evolution equations (1995) (0)
- Growth-fragmentation equations with McKendrick–von Foerster boundary condition (2022) (0)
- Semigroup Methods for Fragmentation Models (2019) (0)
- REGULARITY AND STABILITY ANALYSIS FOR SEMILINEAR GENERALIZED RAYLEIGH-STOKES EQUATIONS (2020) (0)
- Semigroup approach to diffusion and transport problems on networks (2015) (0)
- Some singularly perturbed models in ecology (2016) (0)
- Some comments on mathematical modelling and biomathematics Foreword to BIOMATH 2017 Proceedings (2018) (0)
- Some mathematical tools for modelling malaria: a subjective survey (2021) (0)
- About the guest editors (2001) (0)
- Mathematical Toolbox II (2019) (0)
- On L ,-Solvability of Mixed Boundary Value Problems for Elliptic Equations in Plane Non-smooth Domains (2003) (0)
- Mathematical Toolbox I (2019) (0)
- DERIVATION OF THE NEUTRON DIFFUSION EQUATION (2020) (0)
- Population models with projection matrix with some negative entries a solution to the natchez paradox (2018) (0)
- Mathematical Modelling in One Dimension: Basic difference equations models and their analysis (2013) (0)
- Size structured population models (2017) (0)
- Long-Term Behaviour (2019) (0)
- Classical Solutions of Fragmentation Equations (2019) (0)
- Tikhonov–Vasilyeva Theory (2014) (0)
- B-Bounded Semigroups, Existence Families and Implicit Evolution Equations (2000) (0)
- Qualitative theory for a single equation (2012) (0)
- A Note on the Tikhonov Theorem on an Infinite Interval (2020) (0)
- Stand testing of single-seed drilling quality. (2000) (0)
- Singularly Perturbed Population Models with Reducible Migration Matrix: 2. Asymptotic Analysis and Numerical Simulations (2013) (0)
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Jacek Banasiak is affiliated with the following schools:
