Jan Bouwe van den Berg

Publications

Uniqueness of solutions for the extended Fisher-Komogorov equation, Jan Bouwe van den Berg, C. R. Acad. Sci. Paris Sér. I Math., 326, 447-452 (1998).
The phase-plane picture for a class of fourth-order conservative differential equations, Jan Bouwe van den Berg, J. Differential Equations, 161, 110-153 (2000).
A domain-wall between single-mode and bimodal states, J.B. van den Berg and R.C.A.M. van der Vorst, Differential Integral Equations, 13, 369-400 (2000).
Homotopy classes for stable periodic and chaotic patterns in fourth-order Hamiltonian systems, W.D. Kalies, J. Kwapisz, J.B. van den Berg and R.C.A.M. van der Vorst, Comm. Math. Phys. 214, 573-592 (2000).
Closed characteristics of fourth-order Twist systems via braids, Robert W. Ghrist, Jan Bouwe van den Berg and Robert C. Vandervorst, C. R. Acad. Sci. Paris Sér. I Math. 331, 861-865 (2000).
Travelling waves for fourth-order parabolic equations, Jan Bouwe van den Berg, Josephus Hulshof and Robertus van der Vorst, SIAM J. Math. Anal. 32, 1342-1374 (2001).
Global branches of multi bump periodic solutions of the Swift-Hohenberg equation (big file: 1.5Mb) G.J.B. van den Berg, L.A. Peletier and W.C. Troy, Arch. Rat. Mech. Anal. 158, 91-153 (2001).
Fourth order conservative Twist systems: simple closed characteristics, J.B. van den Berg and R.C.A.M. van der Vorst, Transactions AMS 354, 1383-1420 (2002).
Homoclinic solutions for Swift-Hohenberg and suspension bridge type equations, Didier Smets and Jan Bouwe van den Berg, J. Differential Equations 184, 78-96 (2002).
Stable patterns for fourth order parabolic equations, J.B. van den Berg and R.C.A.M. van der Vorst, Duke Math. J. 115, 513-558 (2002).
Parameter dependence of homoclinic solutions in a single long Josephson junction, J.B. van den Berg, S.A. van Gils and T.P.P. Visser, Nonlinearity 16, 707-717 (2003).
Morse theory on spaces of braids and Lagrangian dynamics, R.W. Ghrist, J.B. van den Berg and R.C. VanderVorst, Inventiones Math. 152, 369-432 (2003).
Formal asymptotics of bubbling in the harmonic map heat flow, Jan Bouwe van den Berg, Joost Hulshof and John R. King, SIAM J. Appl. Math. 63, 1682--1717 (2003).
Parametric dependence of exponents and eigenvalues in focussing porous media flows, Donald G. Aronson, Jan Bouwe van den Berg and Josephus Hulshof, European J. Appl. Math. 14, 85-512 (2003).
Multiplicity and stability of travelling wave solutions in a free boundary combustion-radiation problem Olivier Baconneau, Jan Bouwe van den Berg, Claude-Michel Brauner and Josephus Hulshof, European J. Appl. Math. 15, 79-102 (2004).
The self-similar solution for draining in the thin film equation, Jan Bouwe van den Berg, Mark Bowen, John R. King and M.M.A. El-Sheikh, European J. Appl. Math. 15, 329-346 (2004).
The speed law for highly radiative flames in a gaseous mixture with large activation energy, Jan Bouwe van den Berg, Claude-Michel Brauner, Josephus Hulshof and Alessandra Lunardi, SIAM J. Appl. Math. 66, 408-432 (2005).
Flame balls for a free boundary combustion model with radiative transfer, Jan Bouwe van den Berg, Vincent Guyonne and Josephus Hulshof, SIAM J. Appl. Math. 67, 116-137 (2006).
Contact and noncontact type Hamiltonian systems generated by second order Lagrangians, Sigurd B. Angenent, Jan Bouwe van den Berg and Robert C. van der Vorst, Ergodic Theory and Dynamical Systems 27, 23-49 (2007).
Chaos in orientation reversing twist maps of the plane, Jan Bouwe van den Berg, Robert C. van der Vorst and Wojciech Wójcik, Topology and its Applications 154, 2580-2606 (2007).
Chaotic braided solutions via rigorous numerics: chaos in the Swift-Hohenberg equation, Jan Bouwe van den Berg and Jean-Philippe Lessard, SIAM J. Appl. Dyn. Syst. 7, 988-1031 (2008).
Closed characteristics on non-compact hypersurfaces in R²ⁿ, Jan Bouwe van den Berg, Federica Pasquotto and Robert C. van der Vorst, Mathematische Annalen 343, 247-284, (2009).
Travelling waves in a radiation-combustion free-boundary model for flame propagation, Jan Bouwe van den Berg, Hala Elrofai and Josephus Hulshof, preprint 2009.
Global smooth solution curves using rigorous branch following, Jan Bouwe van den Berg, Jean-Philippe Lessard and Konstantin Mischaikow, to appear in Mathematics of Computation, 2009.
Vanishing beyond all orders: Stokes lines in a water-wave model equation, Jan Bouwe van den Berg and John R. King, to appear in Nonlinearity, 2009.
Briad Floer homology, Jan Bouwe van den Berg, Robert Ghrist, Robert C. van der Vorst and Wojciech Wójcik, preprint 2009.

Thesis

My thesis is available online in postscripts (gzipped, 2.8 Mb): dyn.ps.gz and in PDF (5.3 Mb): dyn.pdf.

home publications research teaching short cv links		Publications
		Uniqueness of solutions for the extended Fisher-Komogorov equation, Jan Bouwe van den Berg, C. R. Acad. Sci. Paris Sér. I Math., 326, 447-452 (1998). The phase-plane picture for a class of fourth-order conservative differential equations, Jan Bouwe van den Berg, J. Differential Equations, 161, 110-153 (2000). A domain-wall between single-mode and bimodal states, J.B. van den Berg and R.C.A.M. van der Vorst, Differential Integral Equations, 13, 369-400 (2000). Homotopy classes for stable periodic and chaotic patterns in fourth-order Hamiltonian systems, W.D. Kalies, J. Kwapisz, J.B. van den Berg and R.C.A.M. van der Vorst, Comm. Math. Phys. 214, 573-592 (2000). Closed characteristics of fourth-order Twist systems via braids, Robert W. Ghrist, Jan Bouwe van den Berg and Robert C. Vandervorst, C. R. Acad. Sci. Paris Sér. I Math. 331, 861-865 (2000). Travelling waves for fourth-order parabolic equations, Jan Bouwe van den Berg, Josephus Hulshof and Robertus van der Vorst, SIAM J. Math. Anal. 32, 1342-1374 (2001). Global branches of multi bump periodic solutions of the Swift-Hohenberg equation (big file: 1.5Mb) G.J.B. van den Berg, L.A. Peletier and W.C. Troy, Arch. Rat. Mech. Anal. 158, 91-153 (2001). Fourth order conservative Twist systems: simple closed characteristics, J.B. van den Berg and R.C.A.M. van der Vorst, Transactions AMS 354, 1383-1420 (2002). Homoclinic solutions for Swift-Hohenberg and suspension bridge type equations, Didier Smets and Jan Bouwe van den Berg, J. Differential Equations 184, 78-96 (2002). Stable patterns for fourth order parabolic equations, J.B. van den Berg and R.C.A.M. van der Vorst, Duke Math. J. 115, 513-558 (2002). Parameter dependence of homoclinic solutions in a single long Josephson junction, J.B. van den Berg, S.A. van Gils and T.P.P. Visser, Nonlinearity 16, 707-717 (2003). Morse theory on spaces of braids and Lagrangian dynamics, R.W. Ghrist, J.B. van den Berg and R.C. VanderVorst, Inventiones Math. 152, 369-432 (2003). Formal asymptotics of bubbling in the harmonic map heat flow, Jan Bouwe van den Berg, Joost Hulshof and John R. King, SIAM J. Appl. Math. 63, 1682--1717 (2003). Parametric dependence of exponents and eigenvalues in focussing porous media flows, Donald G. Aronson, Jan Bouwe van den Berg and Josephus Hulshof, European J. Appl. Math. 14, 85-512 (2003). Multiplicity and stability of travelling wave solutions in a free boundary combustion-radiation problem Olivier Baconneau, Jan Bouwe van den Berg, Claude-Michel Brauner and Josephus Hulshof, European J. Appl. Math. 15, 79-102 (2004). The self-similar solution for draining in the thin film equation, Jan Bouwe van den Berg, Mark Bowen, John R. King and M.M.A. El-Sheikh, European J. Appl. Math. 15, 329-346 (2004). The speed law for highly radiative flames in a gaseous mixture with large activation energy, Jan Bouwe van den Berg, Claude-Michel Brauner, Josephus Hulshof and Alessandra Lunardi, SIAM J. Appl. Math. 66, 408-432 (2005). Flame balls for a free boundary combustion model with radiative transfer, Jan Bouwe van den Berg, Vincent Guyonne and Josephus Hulshof, SIAM J. Appl. Math. 67, 116-137 (2006). Contact and noncontact type Hamiltonian systems generated by second order Lagrangians, Sigurd B. Angenent, Jan Bouwe van den Berg and Robert C. van der Vorst, Ergodic Theory and Dynamical Systems 27, 23-49 (2007). Chaos in orientation reversing twist maps of the plane, Jan Bouwe van den Berg, Robert C. van der Vorst and Wojciech Wójcik, Topology and its Applications 154, 2580-2606 (2007). Chaotic braided solutions via rigorous numerics: chaos in the Swift-Hohenberg equation, Jan Bouwe van den Berg and Jean-Philippe Lessard, SIAM J. Appl. Dyn. Syst. 7, 988-1031 (2008). Closed characteristics on non-compact hypersurfaces in R²ⁿ, Jan Bouwe van den Berg, Federica Pasquotto and Robert C. van der Vorst, Mathematische Annalen 343, 247-284, (2009). Travelling waves in a radiation-combustion free-boundary model for flame propagation, Jan Bouwe van den Berg, Hala Elrofai and Josephus Hulshof, preprint 2009. Global smooth solution curves using rigorous branch following, Jan Bouwe van den Berg, Jean-Philippe Lessard and Konstantin Mischaikow, to appear in Mathematics of Computation, 2009. Vanishing beyond all orders: Stokes lines in a water-wave model equation, Jan Bouwe van den Berg and John R. King, to appear in Nonlinearity, 2009. Briad Floer homology, Jan Bouwe van den Berg, Robert Ghrist, Robert C. van der Vorst and Wojciech Wójcik, preprint 2009. Thesis My thesis is available online in postscripts (gzipped, 2.8 Mb): dyn.ps.gz and in PDF (5.3 Mb): dyn.pdf.