Bernt Wennberg

Professor at Department of Mathematical Sciences

My research mainly concerns interacting many particle systems. These systems may be gases or large flocks of animals, but the mathematical questions are always in focus. I work in collaboration with biologists and medical scientists at the University of Gothenburg, and with mathematicians, mainly in France and the USA

Source: chalmers.se

Projects

2010–2012

Particle systems, kinetic equations and applications

Bernt Wennberg Department of Mathematical Sciences
Swedish Research Council (VR)

2013–2018

Stochastics for big data and big systems - bridging local and global

Holger Rootzen Department of Mathematical Sciences, Mathematical Statistics
Bernt Wennberg Department of Mathematical Sciences
Rebecka Jörnsten Department of Mathematical Sciences, Mathematical Statistics
Igor Rychlik Department of Mathematical Sciences, Mathematical Statistics
Sergey Zuev Department of Mathematical Sciences, Mathematical Statistics
Johan Jonasson Department of Mathematical Sciences, Mathematics
Johan Wästlund Department of Mathematical Sciences, Mathematics
Jeffrey Steif Department of Mathematical Sciences, Mathematics
Olle Häggström Department of Mathematical Sciences, Mathematical Statistics
Robert Berman Department of Mathematical Sciences, Mathematics
Aila Särkkä Department of Mathematical Sciences, Mathematical Statistics
Knut and Alice Wallenberg Foundation

2014–2019

Hierarchical mixed effects modelling of dynamical systems

Bernt Wennberg Department of Mathematical Sciences
Martin Adiels Department of Mathematical Sciences, Mathematics
Philip Gerlee Department of Mathematical Sciences, Mathematics
Torbjörn Lundh Department of Mathematical Sciences, Mathematics
Swedish Foundation for Strategic Research (SSF)

2013–2016

Interacting particle systems, kinetic equations and mean field games

Bernt Wennberg Department of Mathematical Sciences
Swedish Research Council (VR)

There might be more projects where Bernt Wennberg participates, but you have to be logged in as a Chalmers employee to see them.

Publications

2016

Chaotic distributions for relativistic particles

Dawan Mustafa, Bernt Wennberg,
Kinetic and Related Models. Vol. 9 (4), p. 749-766
Scientific journal article - peer reviewed
2015

Improved Estimation of Human Lipoprotein Kinetics with Mixed Effects Models

Martin Berglund, Martin Adiels, M. R. Taskinen et al
PLoS ONE. Vol. 10 (9), p. artikel nr e0138538
Scientific journal article - peer reviewed
2015

A Boltzmann model for rod alignment and schooling fish

E. Carlen, M. C. Carvalho, P. Degond et al
Nonlinearity. Vol. 28 (6), p. 1783-1803
Scientific journal article - peer reviewed
2015

Propagation of Chaos for the Thermostatted Kac Master Equation

E. Carlen, Dawan Mustafa, Bernt Wennberg et al
Journal of statistical physics. Vol. 158 (6), p. 1341-1378
Scientific journal article - peer reviewed
2015

The N-Player War of Attrition in the Limit of Infinitely Many Players

Peter Helgesson, Bernt Wennberg,
Dynamic Games and Applications. Vol. 5 (1), p. 65-93
Scientific journal article - peer reviewed
2015

A new approach to quantitative propagation of chaos for drift, diffusion and jump processes

S. Mischler, C. Mouhot, Bernt Wennberg et al
Probability Theory and Related Fields. Vol. 161 (1-2), p. 1-59
Scientific journal article - peer reviewed
2013

Kinetic hierarchy and propagation of chaos in biological swarm models

E. Carlen, R. Chatelin, P. Degond et al
Physica D-Nonlinear Phenomena. Vol. 260, p. 90-111
Scientific journal article - peer reviewed
2013

Kinetic Limits for Pair-Interaction Driven Master Equations and Biological Swarm Models

E. Carlen, P. Degond, Bernt Wennberg et al
Mathematical Models and Methods in Applied Sciences. Vol. 23 (7), p. 1339-1376
Scientific journal article - peer reviewed
2012

Random many-particle systems: applications from biology, and propagation of chaos in abstract models

Bernt Wennberg,
Rivista di Matematica della Università di Parma. Vol. 3 (2), p. 291-344
Conference paper - peer reviewed
2012

Free Path Lengths in Quasi Crystals

Bernt Wennberg,
Journal of Statistical Physics. Vol. 147 (5), p. 981-990
Scientific journal article - peer reviewed
2012

Increased migration in host–pathogen metapopulations can cause host extinction

Karin C. Harding, M. Begon, Anders Eriksson et al
Journal of Theoretical Biology. Vol. 298, p. 1-7
Scientific journal article - peer reviewed
2012

Investigations of a compartmental model for leucine kinetics using non-linear mixed effects models with ordinary and stochastic differential equations.

Martin Berglund, Mikael Sunnåker, Martin Adiels et al
Mathematical medicine and biology : a journal of the IMA. Vol. 29 (4), p. 361-384
Scientific journal article - peer reviewed
2010

Modelling of peripheral fluid accumulation after a crystalloid bolus in female volunteers - a mathematical study

P. Rodhe, D. Drobin, R.G. Hahn et al
Computational and Mathematical Methods in Medicine. Vol. 11 (4), p. 341-351
Scientific journal article - peer reviewed
2010

On analytic and algebraic observability of nonlinear delay systems

Milena Anguelova, Bernt Wennberg,
Automatica. Vol. 46 (4), p. 682-686
Scientific journal article - peer reviewed
2010

A Model of Sympatric Speciation Through Reinforcement

J. Henriksson, Torbjörn Lundh, Bernt Wennberg et al
Kinetic and Related Models. Vol. 3 (1), p. 143-163
Scientific journal article - peer reviewed
2009

Input-Output Representation and Identifiability of Delay Parameters for Nonlinear Systems with Multiple Time-Delays

Milena Anguelova, Bernt Wennberg,
Lecture Notes in Control and Information Sciences: TOPICS IN TIME DELAY SYSTEMS: ANALYSIS, ALGORITHMS AND CONTROL; 7th IFAC Workshop on Time Delay Systems. Vol. 388, p. 243-253
Conference paper - non peer reviewed
2009

The Kac master equation with unbounded collision rate

Bernt Wennberg, Mattias Sundén,
Markov Processes and Related Fields. Vol. 15 (2), p. 125-148
Scientific journal article - peer reviewed
2009

Adaptive and recursive time relaxed monte carlo methods for rarefied gas dynamics

Stefano Trazzi, Lorenzo Pareschi, Bernt Wennberg et al
SIAM Journal on Scientific Computing. Vol. 31 (2), p. 1379-1398
Scientific journal article - peer reviewed
2008

A Matlab Toolbox for Nonlinear Mixed Effects Modeling – Illustrated with a Model for Lipoprotein Kinetics

Mikael Sunnåker, Martin Berglund, Bernt Wennberg et al
9th International Conference on Systems Biology
Conference poster
2008

State elimination and identifiability of the delay parameter for nonlinear time-delay systems

Milena Anguelova, Bernt Wennberg,
Automatica. Vol. 44 (5), p. 1373-1378
Scientific journal article - peer reviewed
2008

Brownian Approximation and Monte Carlo Simulation of the Non-Cutoff Kac Equation

Mattias Sundén, Bernt Wennberg,
Journal of Statistical Physics. Vol. 130 (2), p. 295-312
Scientific journal article - peer reviewed
2007

State elimination and identifiability of delay parameters for nonlinear systems with multiple time delays

Milena Anguelova, Bernt Wennberg,
IFAC Workshop on Time Delay Systems, TDS07
Conference paper - peer reviewed
2007

Identifiability of the time-lag parameter in delay systems with applications in systems biology

Milena Anguelova, Bernt Wennberg,
Proc. of FOSBE2007 (Foundations of Systems Biology in Engineering)
Conference paper - peer reviewed
2007

Conservation laws and identifiability of rate expressions in biochemical models

Milena Anguelova, Gunnar Cedersund, Carl Johan Franzén et al
IET Systems Biology. Vol. 1 (4), p. 230-237
Scientific journal article - peer reviewed
2007

The Boltzmann equation on a two-dimensional lattice; theoretical and numerical results.

Laura Fainsilber, Pär Kurlberg, Bernt Wennberg et al
Bull. Inst. Math. Acad. Sin. (N.S.) . Vol. 2 (2), p. 667--685.
Conference paper - peer reviewed
2007

Mass and energy balance laws derived from high field limits of thermostatted Boltzmann equations

Pierre Degond, Bernt Wennberg,
Communications in mathematical sciences. Vol. 5 (2)
Scientific journal article - peer reviewed
2007

Stationary states for the non-cutoff Kac equation with a Gaussian thermostat

Véronique Bagland, Bernt Wennberg, Yosief Wondmagegne et al
Nonlinearity. Vol. 20 (3), p. 583-604
Scientific journal article - peer reviewed
2006

The Kac equation with a thermostatted force field

Bernt Wennberg, Yosief Wondmagegne,
Journal of statistical physics. Vol. 124 (2-4), p. 859-880
Scientific journal article - peer reviewed
2006

Lattice points on circles and discrete velocity models for the Boltzmann equation

Laura Fainsilber, Pär Kurlberg, Bernt Wennberg et al
SIAM J. Math. Anal. Vol. 37 (6), p. 1903-1922
Scientific journal article - peer reviewed
2005

A new combined multicompartmental model for apolipoprotein B-100 and triglyceride metabolism in VLDL subfractions

Martin Adiels, C. Packard, M. J. Caslake et al
J Lipid Res. Vol. 46 (1), p. 58-67
Scientific journal article - peer reviewed
2005

Overproduction of VLDL1 driven by hyperglycemia is a dominant feature of diabetic dyslipidemia

Martin Adiels, Jan Borén, M. J. Caslake et al
Arterioscler Thromb Vasc Biol. Vol. 25 (8), p. 1697-703
Scientific journal article - peer reviewed
2005

The Kac Equation with a Thermostatted Force Field

Bernt Wennberg, Yosief Wondmagegne,
Preprint
2004

Smoothness of the solution of the spatially homogeneous Boltzmann equation without cutoff

Laurent Desvillettes, Bernt Wennberg,
Comm. Partial Differential Equations. Vol. 29 (1-2), p. 133-155
Scientific journal article - peer reviewed
2004

Stationary states for the Kac equation with a Gaussian thermostat

Bernt Wennberg, Yosief Wondmagegne,
Nonlinearity. Vol. 17 (2), p. 633-648
Scientific journal article - peer reviewed
2004

On the derivation of a linear Boltzmann equation from a periodic lattice gas

Valeria Ricci, Bernt Wennberg,
Stochastic Process. Appl.. Vol. 111 (2), p. 281-315
Scientific journal article - peer reviewed
2003

On stability and strong convergence for the spatially homogeneous Boltzmann equation for Fermi-Dirac particles

Xuguang Lu, Bernt Wennberg,
Arch. Ration. Mech. Anal.. Vol. 168 (1), p. 1-34
Scientific journal article - peer reviewed
2002

Solutions with increasing energy for the spatially homogeneous Boltzmann equation

Xuguang Lu, Bernt Wennberg,
Nonlinear Anal. Real World Appl.. Vol. 3 (2), p. 243-258
Scientific journal article - peer reviewed
2001

A recursive Monte Carlo method for the Boltzmann equation in the Maxwellian case

Lorenzo Pareschi, Bernt Wennberg,
Monte Carlo Methods Appl.. Vol. 7 (3-4), p. 349-357
Conference paper - peer reviewed
2000

Entropy dissipation and long-range interactions

R. Alexandre, L. Desvillettes, C. Villani et al
Arch. Ration. Mech. Anal.. Vol. 152 (4), p. 327-355
Scientific journal article - peer reviewed
2000

On the distribution of free path lengths for the periodic Lorentz gas. II

François Golse, Bernt Wennberg,
M2AN Math. Model. Numer. Anal.. Vol. 34 (6), p. 1151-1163
Scientific journal article - peer reviewed
1999

On the spatially homogeneous Boltzmann equation

Stéphane Mischler, Bernt Wennberg,
Ann. Inst. H. Poincaré Anal. Non Linéaire. Vol. 16 (4), p. 467-501
Scientific journal article - peer reviewed
1999

An example of nonuniqueness for solutions to the homogeneous Boltzmann equation

Bernt Wennberg,
J. Statist. Phys.. Vol. 95 (1-2), p. 469-477
Scientific journal article - peer reviewed
1998

On the distribution of free path lengths for the periodic Lorentz gas

Jean Bourgain, François Golse, Bernt Wennberg et al
Comm. Math. Phys.. Vol. 190 (3), p. 491-508
Scientific journal article - peer reviewed
1997

Entropy dissipation and moment production for the Boltzmann equation

Bernt Wennberg,
J. Statist. Phys.. Vol. 86 (5-6), p. 1053-1066
Scientific journal article - peer reviewed
1997

A Maxwellian lower bound for solutions to the Boltzmann equation

Ada Pulvirenti, Bernt Wennberg,
Comm. Math. Phys.. Vol. 183 (1), p. 145-160
Scientific journal article - peer reviewed
1997

Entropic convergence for solutions of the Boltzmann equation with general physical initial data

E. A. Carlen, M. C. Carvalho, Bernt Wennberg et al
Transport Theory Statist. Phys.. Vol. 26
Scientific journal article - peer reviewed
1997

The geometry of binary collisions and generalized Radon transforms

Bernt Wennberg,
Arch. Rational Mech. Anal.. Vol. 139 (3), p. 291-302
Scientific journal article - peer reviewed
1996

A compactness result for generalized Radon transforms

Patrick Gérard, François Golse, Bernt Wennberg et al
Math. Res. Lett.. Vol. 3 (4), p. 491-497
Scientific journal article - peer reviewed
1996

Lower bounds for the solutions to the Kac and the Boltzmann equation

A. Pulvirenti, Bernt Wennberg,
Proceedings of the Second International Workshop on Nonlinear Kinetic Theories and Mathematical Aspects of Hyperbolic Systems (Sanremo, 1994). Vol. 25 (3-5), p. 437-446
Conference paper - peer reviewed
1996

The Tanaka functional and exponential convergence for non-cut-off molecules

E. Gabetta, G. Toscani, Bernt Wennberg et al
Proceedings of the Second International Workshop on Nonlinear Kinetic Theories and Mathematical Aspects of Hyperbolic Systems (Sanremo, 1994). Vol. 25 (3-5), p. 543-554
Conference paper - peer reviewed
1996

The Povzner inequality and moments in the Boltzmann equation

Bernt Wennberg,
Proceedings of the VIII International Conference on Waves and Stability in Continuous Media, Part II (Palermo, 1995) (45, part II), p. 673-681
Conference paper - peer reviewed
1995

Stability and exponential convergence for the Boltzmann equation

Bernt Wennberg,
Arch. Rational Mech. Anal.. Vol. 130 (2), p. 103-144
Scientific journal article - peer reviewed
1995

Metrics for probability distributions and the trend to equilibrium for solutions of the Boltzmann equation

G. Gabetta, G. Toscani, Bernt Wennberg et al
J. Statist. Phys.. Vol. 81 (5-6), p. 901-934
Scientific journal article - peer reviewed
1994

On moments and uniqueness for solutions to the space homogeneous Boltzmann equation

Bernt Wennberg,
Transport Theory Statist. Phys.. Vol. 23 (4), p. 533-539
Scientific journal article - peer reviewed
1994

Regularity in the Boltzmann equation and the Radon transform

Bernt Wennberg,
Comm. Partial Differential Equations. Vol. 19 (11-12), p. 2057-2074
Scientific journal article - peer reviewed
1993

Stability and exponential convergence in L1 for the spatially homogeneous Boltzmann equation

Bernt Wennberg,
Nonlinear Analysis, Theory methods and applications. Vol. 20 (8), p. 935-964
Scientific journal article - peer reviewed
1992

Stability and exponential convergence in L(p) for the spatially homogeneous Boltzmann equation

Bernt Wennberg,
Nonlinear kinetic theory and mathematical aspects of hyperbolic systems (Rapallo, 1992). Vol. 9, p. 258-267
Conference paper - peer reviewed
1992

On an entropy dissipation inequality for the Boltzmann equation

Bernt Wennberg,
C.R. Acad. Sci. Paris. Vol. 315, p. 1441-1446
Scientific journal article - peer reviewed
1990

The Boltzmann equation with weakly inhomogeneous data and a source term

Andrzej Palczewski, Bernt Wennberg,
Transport theory and statistical physics. Vol. 19 (6), p. 489-513
Scientific journal article - peer reviewed