Dr Martina Chirilus-Bruckner

F07 - Carslaw Building
The University of Sydney

Telephone 9351 3357
Fax 9351 4534

Website Personal web page

Teaching and supervision

Timetable

Selected publications

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Journals

  • Chirilus-Bruckner, M., Dull, W., Schneider, G. (2014). Validity of the KdV equation for the modulation of periodic traveling waves in the NLS equation (submitted manuscript). Journal of Mathematical Analysis and Applications, 144(1), 166-175. [More Information]
  • Chirilus-Bruckner, M., Schneider, G. (2012). Detection of standing pulses in periodic media by pulse interaction. Journal of Differential Equations, 253, 2161-2190. [More Information]
  • Chirilus-Bruckner, M., Chong, C., Prill, O., Schneider, G. (2012). Rigorous Description of Macroscopic Wave Packets in Infinite Periodic Chains of Coupled Oscillators by Modulation Equations. Discrete and Continuous Dynamical Systems - Series S, 5(5), 879-901. [More Information]
  • Blank, C., Chirilus-Bruckner, M., Lescarret, V., Schneider, G. (2011). Breather solutions in periodic media. Communications in Mathematical Physics, 302, 815-841. [More Information]
  • Lescarret, V., Blank, C., Chirilus-Bruckner, M., Chong, C., Schneider, G. (2009). Standing generalized modulating pulse solutions for a nonlinear wave equation in periodic media. Nonlinearity, 22, 1869-1898. [More Information]
  • Blank, C., Chirilus-Bruckner, M., Chong, C., Lescarret, V., Schneider, G., Uecker, H. (2008). A remark about the justification of the nonlinear Schrodinger equation in quadratic spatially periodic media. Zeitschrift Fur Angewandte Mathematik Und Physik, 59, 554-557. [More Information]
  • Chirilus-Bruckner, M., Chong, C., Schneider, G., Uecker, H. (2008). Separation of internal and interaction dynamics for NLS-described wave packets with different carrier waves. Journal of Mathematical Analysis and Applications, 347, 304-314. [More Information]
  • Chirilus-Bruckner, M., Schneider, G., Uecker, H. (2007). On the interaction of NLS-described modulating pulses with different carrier waves. Mathematical Methods in the Applied Sciences, 30(15), 1965-1978. [More Information]

Conferences

  • Chirilus-Bruckner, M. (2013). Bifurcations of Front Solutions for a Three-component Reaction Diffusion System. Seminar, Leiden University.
  • Chirilus-Bruckner, M. (2013). Nonlinear stability of localized structures. SIAM Conference on Dynamical Systems and Applications 2011.
  • Chirilus-Bruckner, M. (2013). On the Existence of Breathers in Periodic Media: An Approach via Inverse Spectral Theory. SIAM Conference on Dynamical Systems and Applications, Snowbird, UT, USA.
  • Chirilus-Bruckner, M. (2013). Oscillations and Localization in Various Classes of Nonlinear Equations (Minisymposia Organizer). SIAM Conference on Dynamical Systems and Applications, Snowbird, UT, USA.
  • Chirilus-Bruckner, M. (2012). Bifurcations of Front Solutions for a Three-component Reaction Diffusion System. SIAM Conference on Nonlinear Waves and Coherent Structures.
  • Chirilus-Bruckner, M. (2012). Genericity of Breather Solutions in Periodic Media. Dynamical Systems Seminars, Boston University.
  • Chirilus-Bruckner, M. (2012). Genericity of breathers in periodic media. Seminar, University of Stuttgart.
  • Chirilus-Bruckner, M. (2012). On the Existence of Breathers in Nonlinear Wave Equations: An Approach via Inverse Spectral Theory. Oberwolfach Workshop on Dynamics of Patterns.
  • Chirilus-Bruckner, M. (2012). On the Existence of Breathers in Nonlinear Wave Equations: An Approach via Inverse Spectral Theory. Applied Analysis & Computation Seminar.
  • Chirilus-Bruckner, M. (2012). On the Existence of Breathers in Periodic Media: An Approach via Inverse Spectral Theory. Drexel University PDE and Applied Mathematics Seminar.
  • Chirilus-Bruckner, M. (2012). On the existence of breathers in periodic media: Inverse spectral theory for open gap potentials. Special Session at AMS Fall Central Sectional Meeting.
  • Chirilus-Bruckner, M. (2012). On the existence of breathers in periodic media: Inverse spectral theory for open gap potentials. Special Session at AMS Fall Eastern Sectional Meeting.
  • Chirilus-Bruckner, M. (2011). Accelerating and Oscillating Fronts in a Three-component System. SIAM Dynamical Systems and Applications.
  • Chirilus-Bruckner, M. (2011). Interaction of Pulses in Nonlinear Wave Equations. PDE and Differential Geometry Seminar, University of Connecticut.
  • Chirilus-Bruckner, M. (2011). Modulation Equations in Nonlinear Waves (Minisymposium Organizer). SIAM Conference on Analysis of Partial Differential Equations, San Diego, CA, USA.
  • Chirilus-Bruckner, M. (2010). Interaction of Pulses in Nonlinear Wave Equations. BU/Brown PDE Seminar, Boston University.
  • Chirilus-Bruckner, M. (2010). Interaction of Pulses in Nonlinear Wave Equations. Workshop on Coherent structures, Lorentz Center.
  • Chirilus-Bruckner, M. (2009). Pulse interaction for nonlinear wave equations. Workshop on Pulses and Modulations in Nonlinear Systems.
  • Chirilus-Bruckner, M. (2008). Multipulse solutions for nonlinear wave equations. SIAM Conference on Nonlinear Waves and Coherent Structures 2008.
  • Chirilus-Bruckner, M. (2007). On the interaction of NLS-described modulating pulses with different carrier waves. Equadiff.

Other

  • Chirilus-Bruckner, M. (2014), An approximation result for the description of time oscillatory long waves by the NLS equation in the case of quasilinear quadratic terms (submitted manuscript).

2014

  • Chirilus-Bruckner, M. (2014), An approximation result for the description of time oscillatory long waves by the NLS equation in the case of quasilinear quadratic terms (submitted manuscript).
  • Chirilus-Bruckner, M., Dull, W., Schneider, G. (2014). Validity of the KdV equation for the modulation of periodic traveling waves in the NLS equation (submitted manuscript). Journal of Mathematical Analysis and Applications, 144(1), 166-175. [More Information]

2013

  • Chirilus-Bruckner, M. (2013). Bifurcations of Front Solutions for a Three-component Reaction Diffusion System. Seminar, Leiden University.
  • Chirilus-Bruckner, M. (2013). Nonlinear stability of localized structures. SIAM Conference on Dynamical Systems and Applications 2011.
  • Chirilus-Bruckner, M. (2013). On the Existence of Breathers in Periodic Media: An Approach via Inverse Spectral Theory. SIAM Conference on Dynamical Systems and Applications, Snowbird, UT, USA.
  • Chirilus-Bruckner, M. (2013). Oscillations and Localization in Various Classes of Nonlinear Equations (Minisymposia Organizer). SIAM Conference on Dynamical Systems and Applications, Snowbird, UT, USA.

2012

  • Chirilus-Bruckner, M. (2012). Bifurcations of Front Solutions for a Three-component Reaction Diffusion System. SIAM Conference on Nonlinear Waves and Coherent Structures.
  • Chirilus-Bruckner, M., Schneider, G. (2012). Detection of standing pulses in periodic media by pulse interaction. Journal of Differential Equations, 253, 2161-2190. [More Information]
  • Chirilus-Bruckner, M. (2012). Genericity of Breather Solutions in Periodic Media. Dynamical Systems Seminars, Boston University.
  • Chirilus-Bruckner, M. (2012). Genericity of breathers in periodic media. Seminar, University of Stuttgart.
  • Chirilus-Bruckner, M. (2012). On the Existence of Breathers in Nonlinear Wave Equations: An Approach via Inverse Spectral Theory. Oberwolfach Workshop on Dynamics of Patterns.
  • Chirilus-Bruckner, M. (2012). On the Existence of Breathers in Nonlinear Wave Equations: An Approach via Inverse Spectral Theory. Applied Analysis & Computation Seminar.
  • Chirilus-Bruckner, M. (2012). On the Existence of Breathers in Periodic Media: An Approach via Inverse Spectral Theory. Drexel University PDE and Applied Mathematics Seminar.
  • Chirilus-Bruckner, M. (2012). On the existence of breathers in periodic media: Inverse spectral theory for open gap potentials. Special Session at AMS Fall Central Sectional Meeting.
  • Chirilus-Bruckner, M. (2012). On the existence of breathers in periodic media: Inverse spectral theory for open gap potentials. Special Session at AMS Fall Eastern Sectional Meeting.
  • Chirilus-Bruckner, M., Chong, C., Prill, O., Schneider, G. (2012). Rigorous Description of Macroscopic Wave Packets in Infinite Periodic Chains of Coupled Oscillators by Modulation Equations. Discrete and Continuous Dynamical Systems - Series S, 5(5), 879-901. [More Information]

2011

  • Chirilus-Bruckner, M. (2011). Accelerating and Oscillating Fronts in a Three-component System. SIAM Dynamical Systems and Applications.
  • Blank, C., Chirilus-Bruckner, M., Lescarret, V., Schneider, G. (2011). Breather solutions in periodic media. Communications in Mathematical Physics, 302, 815-841. [More Information]
  • Chirilus-Bruckner, M. (2011). Interaction of Pulses in Nonlinear Wave Equations. PDE and Differential Geometry Seminar, University of Connecticut.
  • Chirilus-Bruckner, M. (2011). Modulation Equations in Nonlinear Waves (Minisymposium Organizer). SIAM Conference on Analysis of Partial Differential Equations, San Diego, CA, USA.

2010

  • Chirilus-Bruckner, M. (2010). Interaction of Pulses in Nonlinear Wave Equations. BU/Brown PDE Seminar, Boston University.
  • Chirilus-Bruckner, M. (2010). Interaction of Pulses in Nonlinear Wave Equations. Workshop on Coherent structures, Lorentz Center.

2009

  • Chirilus-Bruckner, M. (2009). Pulse interaction for nonlinear wave equations. Workshop on Pulses and Modulations in Nonlinear Systems.
  • Lescarret, V., Blank, C., Chirilus-Bruckner, M., Chong, C., Schneider, G. (2009). Standing generalized modulating pulse solutions for a nonlinear wave equation in periodic media. Nonlinearity, 22, 1869-1898. [More Information]

2008

  • Blank, C., Chirilus-Bruckner, M., Chong, C., Lescarret, V., Schneider, G., Uecker, H. (2008). A remark about the justification of the nonlinear Schrodinger equation in quadratic spatially periodic media. Zeitschrift Fur Angewandte Mathematik Und Physik, 59, 554-557. [More Information]
  • Chirilus-Bruckner, M. (2008). Multipulse solutions for nonlinear wave equations. SIAM Conference on Nonlinear Waves and Coherent Structures 2008.
  • Chirilus-Bruckner, M., Chong, C., Schneider, G., Uecker, H. (2008). Separation of internal and interaction dynamics for NLS-described wave packets with different carrier waves. Journal of Mathematical Analysis and Applications, 347, 304-314. [More Information]

2007

  • Chirilus-Bruckner, M., Schneider, G., Uecker, H. (2007). On the interaction of NLS-described modulating pulses with different carrier waves. Mathematical Methods in the Applied Sciences, 30(15), 1965-1978. [More Information]
  • Chirilus-Bruckner, M. (2007). On the interaction of NLS-described modulating pulses with different carrier waves. Equadiff.

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