Bernt Wennberg

Professor at Chalmers, 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 Mathematical Sciences
Swedish Research Council (VR)

2013–2018

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

Holger Rootzen Applied Mathematics and Statistics
Bernt Wennberg Mathematical Sciences
Rebecka Jörnsten Applied Mathematics and Statistics
Igor Rychlik Applied Mathematics and Statistics
Sergey Zuev Applied Mathematics and Statistics
Johan Jonasson Analysis and Probability Theory
Johan Wästlund Analysis and Probability Theory
Jeffrey Steif Analysis and Probability Theory
Olle Häggström Applied Mathematics and Statistics
Robert Berman Algebra and geometry
Aila Särkkä Applied Mathematics and Statistics
Knut and Alice Wallenberg Foundation

2014–2019

Hierarchical mixed effects modelling of dynamical systems

Bernt Wennberg Mathematical Sciences
Martin Adiels Mathematics
Philip Gerlee Applied Mathematics and Statistics
Torbjörn Lundh Applied Mathematics and Statistics
Swedish Foundation for Strategic Research (SSF)

2013–2016

Interacting particle systems, kinetic equations and mean field games

Bernt Wennberg 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
Journal article
2015

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

S. Mischler, C. Mouhot, Bernt Wennberg
Probability Theory and Related Fields. Vol. 161 (1-2), p. 1-59
Journal article
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-
Journal article
2015

Propagation of Chaos for the Thermostatted Kac Master Equation

E. Carlen, Dawan Mustafa, Bernt Wennberg
Journal of Statistical Physics. Vol. 158 (6), p. 1341-1378
Journal article
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
Journal article
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
Journal article
2013

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

E. Carlen, P. Degond, Bernt Wennberg
Mathematical Models and Methods in Applied Sciences. Vol. 23 (7), p. 1339-1376
Journal article
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
Journal article
2012

Free Path Lengths in Quasi Crystals

Bernt Wennberg
Journal of Statistical Physics. Vol. 147 (5), p. 981-990
Journal article
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
Paper in proceedings
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
Journal article
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
Journal article
2010

A Model of Sympatric Speciation Through Reinforcement

J. Henriksson, Torbjörn Lundh, Bernt Wennberg
Kinetic and Related Models. Vol. 3 (1), p. 143-163
Journal article
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
Journal article
2010

On analytic and algebraic observability of nonlinear delay systems

Milena Anguelova, Bernt Wennberg
Automatica. Vol. 46 (4), p. 682-686
Journal article
2009

The Kac master equation with unbounded collision rate

Bernt Wennberg, Mattias Sunden
Markov Processes and Related Fields. Vol. 15 (2), p. 125-148
Journal article
2009

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

Stefano Trazzi, Lorenzo Pareschi, Bernt Wennberg
SIAM Journal of Scientific Computing. Vol. 31 (2), p. 1379-1398
Journal article
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. Vol. 388, p. 243-253
Conference contribution
2008

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

Mattias Sunden, Bernt Wennberg
Journal of Statistical Physics. Vol. 130 (2), p. 295-312
Journal article
2008

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

Mikael Sunnåker, Martin Berglund, Bernt Wennberg et al
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
Journal article
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
Journal article
2007

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

Véronique Bagland, Bernt Wennberg, Yosief Wondmagegne
Nonlinearity. Vol. 20 (3), p. 583-604
Journal article
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)
Journal article
2007

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

Laura Fainsilber, Pär Kurlberg, Bernt Wennberg
Bull. Inst. Math. Acad. Sin. (N.S.). Vol. 2 (2), p. 667--685.-
Paper in proceedings
2006

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

Laura Fainsilber, Pär Kurlberg, Bernt Wennberg
SIAM Journal on Mathematical Analysis. Vol. 37 (6), p. 1903-1922
Journal article
2006

The Kac equation with a thermostatted force field

Bernt Wennberg, Yosief Wondmagegne
Journal of Statistical Physics. Vol. 124 (2-4), p. 859-880
Journal article
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
Journal of Lipid Research. Vol. 46 (1), p. 58-67
Journal article
2005

The Kac Equation with a Thermostatted Force Field

Bernt Wennberg, Yosief Wondmagegne
Preprint
2005

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

Martin Adiels, Jan Borén, M. J. Caslake et al
Arteriosclerosis, Thrombosis, and Vascular Biology. Vol. 25 (8), p. 1697-703
Journal article
2004

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

Laurent Desvillettes, Bernt Wennberg
Communications in Partial Differential Equations. Vol. 29 (1-2), p. 133-155
Journal article
2004

Stationary states for the Kac equation with a Gaussian thermostat

Bernt Wennberg, Yosief Wondmagegne
Nonlinearity. Vol. 17 (2), p. 633-648
Journal article
2004

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

Valeria Ricci, Bernt Wennberg
Stochastic Processes and their Applications. Vol. 111 (2), p. 281-315
Journal article
2003

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

Xuguang Lu, Bernt Wennberg
Archive for Rational Mechanics and Analysis. Vol. 168 (1), p. 1-34
Journal article
2002

Solutions with increasing energy for the spatially homogeneous Boltzmann equation

Xuguang Lu, Bernt Wennberg
Nonlinear Analysis: Real World Applications. Vol. 3 (2), p. 243-258
Journal article
2001

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

Lorenzo Pareschi, Bernt Wennberg
Monte Carlo Methods and Applications. Vol. 7 (3-4), p. 349-357
Paper in proceedings
2000

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

François Golse, Bernt Wennberg
Mathematical Modelling and Numerical Analysis. Vol. 34 (6), p. 1151-1163
Journal article
2000

Entropy dissipation and long-range interactions

R. Alexandre, L. Desvillettes, C. Villani et al
Archive for Rational Mechanics and Analysis. Vol. 152 (4), p. 327-355
Journal article
1999

On the spatially homogeneous Boltzmann equation

Stéphane Mischler, Bernt Wennberg
Annales de lInstitut Henri Poincare. Annales: Analyse Non Lineaire/Nonlinear Analysis. Vol. 16 (4), p. 467-501
Journal article
1999

An example of nonuniqueness for solutions to the homogeneous Boltzmann equation

Bernt Wennberg
Journal of Statistical Physics. Vol. 95 (1-2), p. 469-477
Journal article
1998

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

Jean Bourgain, François Golse, Bernt Wennberg
Communications in Mathematical Physics. Vol. 190 (3), p. 491-508
Journal article
1997

The geometry of binary collisions and generalized Radon transforms

Bernt Wennberg
Archive for Rational Mechanics and Analysis. Vol. 139 (3), p. 291-302
Journal article
1997

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

E. A. Carlen, M. C. Carvalho, Bernt Wennberg
Transport Theory Statist. Phys.. Vol. 26
Journal article
1997

A Maxwellian lower bound for solutions to the Boltzmann equation

Ada Pulvirenti, Bernt Wennberg
Communications in Mathematical Physics. Vol. 183 (1), p. 145-160
Journal article
1997

Entropy dissipation and moment production for the Boltzmann equation

Bernt Wennberg
Journal of Statistical Physics. Vol. 86 (5-6), p. 1053-1066
Journal article
1996

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

E. Gabetta, G. Toscani, Bernt Wennberg
Transport Theory and Statistical Physics. Vol. 25 (3-5), p. 543-554
Paper in proceedings
1996

A compactness result for generalized Radon transforms

Patrick Gérard, François Golse, Bernt Wennberg
Mathematical Research Letters. Vol. 3 (4), p. 491-497
Journal article
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
Paper in proceedings
1996

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

A. Pulvirenti, Bernt Wennberg
Transport Theory and Statistical Physics. Vol. 25 (3-5), p. 437-446
Paper in proceedings
1995

Stability and exponential convergence for the Boltzmann equation

Bernt Wennberg
Archive for Rational Mechanics and Analysis. Vol. 130 (2), p. 103-144
Journal article
1995

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

G. Gabetta, G. Toscani, Bernt Wennberg
Journal of Statistical Physics. Vol. 81 (5-6), p. 901-934
Journal article
1994

Regularity in the Boltzmann equation and the Radon transform

Bernt Wennberg
Communications in Partial Differential Equations. Vol. 19 (11-12), p. 2057-2074
Journal article
1994

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

Bernt Wennberg
Transport Theory and Statistical Physics. Vol. 23 (4), p. 533-539
Journal article
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
Journal article
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
Paper in proceedings
1992

On an entropy dissipation inequality for the Boltzmann equation

Bernt Wennberg
C.R. Acad. Sci. Paris. Vol. 315, p. 1441-1446
Journal article
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
Journal article