Lachowicz, Mirosław
Overview
Works:  49 works in 108 publications in 3 languages and 2,187 library holdings 

Genres:  Conference proceedings 
Roles:  Editor, Author 
Classifications:  QA274, 519.23 
Publication Timeline
.
Most widely held works by
Mirosław Lachowicz
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 Będlewo, Poland, September 49, 2006 by
J Banasiak(
Book
)
16 editions published in 2008 in English and held by 165 WorldCat member libraries worldwide
The aim of this volume that presents Lectures given at a joint CIME and Banach Center Summer School, is to offer a broad presentation of a class of updated methods providing a mathematical framework for the development of a hierarchy of models of complex systems in the natural sciences, with a special attention to Biology and Medicine. Mastering complexity implies sharing different tools requiring much higher level of communication between different mathematical and scientific schools, for solving classes of problems of the same nature. Today more than ever, one of the most important challenges derives from the need to bridge parts of a system evolving at different time and space scales, especially with respect to computational affordability. As a result the content has a rather general character; the main role is played by stochastic processes, positive semigroups, asymptotic analysis, kinetic theory, continuum theory and game theory
16 editions published in 2008 in English and held by 165 WorldCat member libraries worldwide
The aim of this volume that presents Lectures given at a joint CIME and Banach Center Summer School, is to offer a broad presentation of a class of updated methods providing a mathematical framework for the development of a hierarchy of models of complex systems in the natural sciences, with a special attention to Biology and Medicine. Mastering complexity implies sharing different tools requiring much higher level of communication between different mathematical and scientific schools, for solving classes of problems of the same nature. Today more than ever, one of the most important challenges derives from the need to bridge parts of a system evolving at different time and space scales, especially with respect to computational affordability. As a result the content has a rather general character; the main role is played by stochastic processes, positive semigroups, asymptotic analysis, kinetic theory, continuum theory and game theory
From genetics to mathematics by
Mirosław Lachowicz(
Book
)
12 editions published in 2009 in English and held by 90 WorldCat member libraries worldwide
Annotation
12 editions published in 2009 in English and held by 90 WorldCat member libraries worldwide
Annotation
Methods of small parameter in mathematical biology by
J Banasiak(
Book
)
7 editions published in 2014 in English and held by 26 WorldCat member libraries worldwide
This monograph presents new tools for modeling multiscale biological processes. Natural processes are usually driven by mechanisms widely differing from each other in the time or space scale at which they operate and thus should be described by appropriate multiscale models. However, looking at all such scales simultaneously is often infeasible, costly, and provides information that is redundant for a particular application. Hence, there has been a growing interest in providing a more focused description of multiscale processes by aggregating variables in a way that is relevant and preserves the salient features of the dynamics. The aim of this book is to present a systematic way of deriving the socalled limit equations for such aggregated variables and ensuring that the coefficients of these equations encapsulate the relevant information from the discarded levels of description. Since any approximation is only valid if an estimate of the incurred error is available, the tools described allow for proving that the solutions to the original multiscale family of equations converge to the solution of the limit equation if the relevant parameter converges to its critical value. The chapters are arranged according to the mathematical complexity of the analysis, from systems of ordinary linear differential equations, through nonlinear ordinary differential equations, to linear and nonlinear partial differential equations. Many chapters begin with a survey of mathematical techniques needed for the analysis. All problems discussed in this book belong to the class of singularly perturbed problems; that is, problems in which the structure of the limit equation is significantly different from that of the multiscale model. Such problems appear in all areas of science and can be attacked using many techniques. Methods of Small Parameter in Mathematical Biology will appeal to senior undergraduate and graduate students in appled and biomathematics, as well as researchers specializing in differential equations and asymptotic analysis
7 editions published in 2014 in English and held by 26 WorldCat member libraries worldwide
This monograph presents new tools for modeling multiscale biological processes. Natural processes are usually driven by mechanisms widely differing from each other in the time or space scale at which they operate and thus should be described by appropriate multiscale models. However, looking at all such scales simultaneously is often infeasible, costly, and provides information that is redundant for a particular application. Hence, there has been a growing interest in providing a more focused description of multiscale processes by aggregating variables in a way that is relevant and preserves the salient features of the dynamics. The aim of this book is to present a systematic way of deriving the socalled limit equations for such aggregated variables and ensuring that the coefficients of these equations encapsulate the relevant information from the discarded levels of description. Since any approximation is only valid if an estimate of the incurred error is available, the tools described allow for proving that the solutions to the original multiscale family of equations converge to the solution of the limit equation if the relevant parameter converges to its critical value. The chapters are arranged according to the mathematical complexity of the analysis, from systems of ordinary linear differential equations, through nonlinear ordinary differential equations, to linear and nonlinear partial differential equations. Many chapters begin with a survey of mathematical techniques needed for the analysis. All problems discussed in this book belong to the class of singularly perturbed problems; that is, problems in which the structure of the limit equation is significantly different from that of the multiscale model. Such problems appear in all areas of science and can be attacked using many techniques. Methods of Small Parameter in Mathematical Biology will appeal to senior undergraduate and graduate students in appled and biomathematics, as well as researchers specializing in differential equations and asymptotic analysis
On the fluid dynamic limit of the nonlinear Enskog equation by
Mirosław Lachowicz(
Book
)
3 editions published in 1987 in English and Polish and held by 4 WorldCat member libraries worldwide
3 editions published in 1987 in English and Polish and held by 4 WorldCat member libraries worldwide
On the asymptotic behaviour of solution of nonlinear kinetic equations by
Mirosław Lachowicz(
Book
)
4 editions published in 1988 in English and Polish and held by 4 WorldCat member libraries worldwide
4 editions published in 1988 in English and Polish and held by 4 WorldCat member libraries worldwide
Semigroups of operators : theory and applications Be̜dlewo, Poland, October 2013 by
J Banasiak(
Book
)
4 editions published between 2014 and 2015 in English and held by 4 WorldCat member libraries worldwide
Many results, both from semigroup theory itself and from the applied sciences, are phrased in disciplinespecific languages and hence are hardly known to a broader community. This volume contains a selection of lectures presented at a conference that was organised as a forum for all mathematicians using semigroup theory to learn what is happening outside their own field of research. The collection will help to establish a number of new links between various subdisciplines of semigroup theory, stochastic processes, differential equations and the applied fields.  Back cover
4 editions published between 2014 and 2015 in English and held by 4 WorldCat member libraries worldwide
Many results, both from semigroup theory itself and from the applied sciences, are phrased in disciplinespecific languages and hence are hardly known to a broader community. This volume contains a selection of lectures presented at a conference that was organised as a forum for all mathematicians using semigroup theory to learn what is happening outside their own field of research. The collection will help to establish a number of new links between various subdisciplines of semigroup theory, stochastic processes, differential equations and the applied fields.  Back cover
Między mikroświatem a makroświatem : analiza asymptotyczna by
Mirosław Lachowicz(
Book
)
3 editions published in 1995 in Polish and held by 3 WorldCat member libraries worldwide
3 editions published in 1995 in Polish and held by 3 WorldCat member libraries worldwide
A system of stochastic differential equations modelling the Euler and the NavierStokes hydrodynamic equations by
Mirosław Lachowicz(
Book
)
3 editions published in 1991 in English and held by 3 WorldCat member libraries worldwide
3 editions published in 1991 in English and held by 3 WorldCat member libraries worldwide
On the initial layer and the existence theorem for the nonlinear Boltzmann equation by
Mirosław Lachowicz(
Book
)
3 editions published in 1985 in Polish and English and held by 3 WorldCat member libraries worldwide
3 editions published in 1985 in Polish and English and held by 3 WorldCat member libraries worldwide
Is the linearized BoltzmannEnskog operator dissipative? by
Mirosław Lachowicz(
Book
)
2 editions published in 2000 in English and held by 2 WorldCat member libraries worldwide
2 editions published in 2000 in English and held by 2 WorldCat member libraries worldwide
A kinetic model of tumour/immune system cellular interactions by
Luisa Arlotti(
Book
)
2 editions published in 2000 in English and held by 2 WorldCat member libraries worldwide
2 editions published in 2000 in English and held by 2 WorldCat member libraries worldwide
On the hydrodynamic limit for quantum kinetic equations by
Luisa Arlotti(
Book
)
2 editions published in 1995 in English and held by 2 WorldCat member libraries worldwide
2 editions published in 1995 in English and held by 2 WorldCat member libraries worldwide
A nonlocal coagulationfragmentation model by
Mirosław Lachowicz(
Book
)
2 editions published in 1999 in English and held by 2 WorldCat member libraries worldwide
2 editions published in 1999 in English and held by 2 WorldCat member libraries worldwide
On the hydrodynamic limit of the Enskog equation by
Mirosław Lachowicz(
Book
)
2 editions published in 1996 in English and held by 2 WorldCat member libraries worldwide
2 editions published in 1996 in English and held by 2 WorldCat member libraries worldwide
From kinetic to Navier  Stokes  type equations by
Mirosław Lachowicz(
Book
)
2 editions published in 1996 in English and held by 2 WorldCat member libraries worldwide
2 editions published in 1996 in English and held by 2 WorldCat member libraries worldwide
Matematyczne modele zjawisk przyrodniczych by
Mirosław Lachowicz(
Book
)
2 editions published in 1995 in Polish and held by 2 WorldCat member libraries worldwide
2 editions published in 1995 in Polish and held by 2 WorldCat member libraries worldwide
Asymptotic analysis of nonlinear kinetic equations: the hydrodynamic limit by
Mirosław Lachowicz(
Book
)
2 editions published in 1994 in Polish and English and held by 2 WorldCat member libraries worldwide
2 editions published in 1994 in Polish and English and held by 2 WorldCat member libraries worldwide
Solutions of nonlinear kinetic equations on the level of the navierstokes dynamics by
Mirosław Lachowicz(
Book
)
2 editions published in 1991 in Polish and English and held by 2 WorldCat member libraries worldwide
2 editions published in 1991 in Polish and English and held by 2 WorldCat member libraries worldwide
A Liapunov functional and dissipativity analysis for a kinetic model in mathematical bilogy by N Bellomo(
Book
)
1 edition published in 1992 in English and held by 1 WorldCat member library worldwide
1 edition published in 1992 in English and held by 1 WorldCat member library worldwide
Analysis by the operator interpolation method of an initialboundary valueproblem for the semidiscrete Boltzmann equation by
Mirosław Lachowicz(
Book
)
2 editions published in 1989 in Italian and English and held by 1 WorldCat member library worldwide
2 editions published in 1989 in Italian and English and held by 1 WorldCat member library worldwide
more
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Audience Level
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Related Identities
 Miękisz, Jacek Editor
 World Scientific (Firm)
 Banasiak, J. Author Editor
 Capasso, Vincenzo 1945 Editor
 Stefan Banach International Mathematical Center
 Bobrowski, Adam Editor
 Kisyński, Jan
 Chaplain, Mark A. J.
 Banasiak, Jacek Author
 Arlotti, Luisa Author
Associated Subjects
BiologyMathematical models Biomathematics Differential equations Differential equations, Partial Distribution (Probability theory) Functional analysis GeneticsMathematical models GeneticsMathematics Integral equations Mathematics Numerical analysis Operator theory Semigroups of operators Stochastic processes