Publications
Books
- C.P. Ortlieb, C. v. Dresky, I. Gasser, S. Günzel:
Mathematische Modellierung -- Eine Einführung in zwölf Fallstudien, Vieweg+Teubner (2008).
In refereed Journals
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I. Gasser, M. Rybicki:
Modeling and simulation of gas dynamics in an exhaust pipe,
to appear in Applied Mathematical Modelling (2012).
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A. Corli, I. Gasser, M. Lukakova-Medvidova, A. Roggensack, U. Teschke:
A multiscale approach to liquid flows in pipes I: the single pipe,
Applied Mathematics and Computation, 219 (3), 856-874 (2012).
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M. Bauer, I. Gasser:
Modeling, asymptotic analysis and simulation of an Energy Tower,
SIAM J. Appl. Math. 72 (1), 362-381 (2012).
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J. Brouwer, I. Gasser, M. Herty:
Gas pipeline models revisited: Model hierarchies, non-isothermal models and simulations of networks,
Multiscale Model. Simul., vol. 9 (2), 601-623 (2011).
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I. Gasser, B. Werner:
Dynamical phenomena induced by bottleneck,
Phil. Trans. R. Soc. A, vol. 368, 4543-4562 (2010).
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T. Seidel, I. Gasser, B. Werner:
Microscopic car-following Models revisited: from road works to fundamental diagrams,
SIAM Journal of Applied Dynamical Systems SIADS, vol. 8 (5), 1305-1323 (2009).
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I. Gasser:
Modelling and Simulation of a Solar Updraft Tower,
Kinetic and Related Models KRM, vol. 2 (1), 191-204 (2009).
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I. Gasser, M. Kraft :
Modelling and Simulation of Fires in Tunnel Networks,
Networks and Heterogeneous Media, vol. 3 (4), 691-707 (2008).
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I. Gasser, P. Marcati:
On a Generalisation of the ``Div-Curl Lemma'',
Osaka Journal of Mathematics, vol. 45 (1), 211-214 (2008).
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I. Gasser, T. Seidel, G. Sirito, B. Werner:
Bifurcation Analysis of a class of Car-Following Traffic Models II: Variable Reaction Times
and Aggressive Drivers,
Bulletin of Institute of Mathematics, Academia Sinica, New Series, vol. 2 (2), 587-607 (2007).
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I. Gasser, H. Steinrück:
An Asymptotic One--Dimensional Model to Describe Fires in Tunnels III: The Transient Problem,
SIAM Journal of Applied Mathematics, vol. 66 (6), 2187-2203 (2006).
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I. Gasser, H. Steinrück:
On the Existence of Transient Solutions of a Tunnel Fire Model,
Communications in Mathematical Sciences, vol. 4 (3), 609-619 (2006).
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I. Teleaga, M. Seaid, I. Gasser, A. Klar, J. Struckmeier:
Radiation Models for Thermal Flows at Low Mach Number,
Journal of Computational Physics, vol. 215 (2), 506-525 (2006).
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I. Gasser:
One-dimensional Modelling of Tunnel Fires,
Mitt. Math. Ges. Hamburg, vol. 23 (1), 49-62 (2004).
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I. Gasser, G. Sirito, B. Werner:
Bifurcation Analysis of a class of Car-Following Traffic Models,
Physica D, vol. 197 (3-4), 222-241 (2004).
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I. Gasser, J. Struckmeier, I. Teleaga:
Modelling and Simulation of Fires in Vehicle Tunnels,
International Journal for Numerical Methods of Fluids,
vol. 44 (3), 277-296 (2004).
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I. Gasser:
On the Mathematics of Tunnel Fires,
Mitteilungen der GAMM, vol. 26 (1-2), 109-126 (2003).
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I. Gasser:
An Asymptotic-Induced One-Dimensional Model to Describe Fires in Tunnels II: The Stationary Problem,
Math. Meth. in the Appl. Sci. M²AS, vol. 26 (15), 1327-1347 (2003).
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I. Gasser, L. Hsiao, H. Li:
Large Time Behavior of Solutions of the Bipolar Hydrodynamical Model for Semiconductors,
Journal of Differential Equations JDE, vol. 192, 326-359 (2003).
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I. Gasser, P. Marcati:
A Quasineutral Limit in a Hydrodynamic Model for Charged Fluids,
Monatshefte der Mathematik vol. 138 (3), 189-208 (2003).
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I. Gasser:
On Non-Entropy Solutions of Scalar Conservation Laws for Traffic Flow,
Zeitschr. f. Angew. Math. Mech. ZAMM, vol. 83 (2), 137-143 (2003).
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I. Gasser, J. Struckmeier:
An Asymptotic-Induced One-Dimensional Model to Describe Fires in Tunnels,
Math. Meth. in the Appl. Sci. M²AS , vol. 25 (14), 1231-1249 (2002).
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I. Gasser, L. Hsiao, P.A. Markowich, S. Wang:
Quasineutral Limit in a Nonlinear Drift Diffusion Model for Semiconductors,
J. Math. Anal. Appl., vol. 268 (1), 184-199 (2002).
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I. Gasser, D. Levermore, P.A. Markowich, C. Schmeiser:
The Initial Time Layer Problem and the Quasineutral Limit in the Drift Diffusion Model,
Eur. J. Appl. Math., vol. 12 (4), 497-512 (2001).
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I. Gasser:
The Initial Time Layer Problem and the Quasineutral Limit in a Nonlinear Drift Diffusion Model for Semiconductors,
Nonlin. Diff. Eq. Appl. NoDEA., vol. 8 (3), 237-249 (2001).
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I. Gasser, P. Szmolyan:
Polyatomic Gas with Relaxation Effects,
Math. Models Methods Appl. Sci. M³AS, vol. 11 (1), 87-104 (2001).
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I. Gasser:
A Note on Traveling Wave Solutions for a Quantum Hydrodynamic Model,
Appl. Math. Lett., vol. 14 (3), 279-283 (2001).
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I. Gasser, P. Marcati: The Combined Relaxation and Vanishing Debye Length
Limit in the Hydrodynamic Model for Semiconductors,
Math. Meth. in the Appl. Sci. M²AS, vol. 24 (2), 81-92 (2001).
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I. Gasser, P.E. Jabin, B. Perthame:
Regularity and Propagation of Moments in some Nonlinear Vlasov Systems,
P. Roy. Soc. Edinb. A., vol. 130A, 1259-1273 (2000) .
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I. Gasser, C.-K. Lin, P.A. Markowich:
A Review of Dispersive Limits of (Non)Linear Schrödinger Type Equations, Taiwanese
Journal of Mathematics, vol. 4 (4), 501-529 (2000).
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I. Gasser, P.A. Markowich, B. Perthame:
Dispersion and moment lemmas revisited, Journal of Differential Equations, vol. 156, 254-281 (1999).
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I. Gasser:
On Hartree-Fock Systems, VLSI Design, vol. 9 (4), 357-364 (1999).
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I. Gasser, P.A. Markowich, B. Perthame:
Dispersion lemmas revisited,
VLSI Design, vol. 9 (4), 365-375 (1999).
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I. Gasser, R. Natalini:
The Energy Transport and the Drift Diffusion equations as Relaxation Limits of the Hydrodynamic Model for Semiconductors,
Quart. Appl. Math., vol. 57 (2), 269-282 (1999).
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I. Gasser, R. Illner, P.A. Markowich, C. Schmeiser:
Semiclassical, $t \rightarrow \infty$ Asymptotics and Dispersive Effects for Hartree-Fock Systems,
RAIRO, Modelisation Math. Anal. Numer., vol. 32, 699-713 (1998).
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I. Gasser, A. Jüngel:
The Quantum Hydrodynamic Model for Semiconductors in Thermal Equilibrium,
ZAMP, vol. 48, 45-59 (1997).
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I. Gasser, P.A. Markowich:
Quantum Hydrodynamics, Wigner Transforms and the Classical Limit,
Asymptotic Analysis, vol. 14, 97-116 (1997).
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I. Gasser, P.A. Markowich, C. Ringhofer:
Closure Conditions for Classical and Quantum Moment Hierarchies in the Small Temperature Limit,
Transport Theory and Statistical Physics, vol. 25 (3-5),
409-423 (1996).
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F. Brezzi, I. Gasser, P.A. Markowich, C. Schmeiser:
Thermal Equilibrium States of the Quantum Hydrodynamic Model for Semiconductors in One Dimension,
Appl.Math.Lett., vol. 8, 47-52 (1995).
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I. Gasser, P. Szmolyan:
Detonation and Deflagration Waves with Multistep Reaction Schemes, SIAM J. Appl. Math.,
vol. 55, 175-191 (1995).
- I. Gasser, P. Szmolyan:
A Geometric Singular Perturbation Analysis of Detonation and Deflagration Waves,
SIAM J. Math. Anal., vol. 24, 968--986 (1993).
In Books
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M. Bauer, E. Felaco, I. Gasser:
On One-Dimensional Low Mach Number Applications
http://link.springer.com/chapter/10.1007/978-3-642-33221-0_2?null
in
Recent Developments in the Numerics of Nonlinear Hyperbolic Conservation,
Rainer Ansorge, Hester Bijl, Andreas Meister, and Thomas Sonar (eds.),
Notes on Numerical Fluid Mechanics and Multidisciplinary Design (NNFM), Springer-Verlag, Berlin, 2013, 25-39.
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A. Arnold, I. Gasser: The Fast and Very Fast Diffusion Equation, to
appear in ``The PDE Coffee Table Book'',
K. Embree und N. Trefethen (eds) (2001).
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I. Gasser, P.A. Markowich, A. Unterreiter: Quantum Hydrodynamics,
in Modeling of Collisions, herausgegeben von P.A. Raviart, Series in Applied
Mathematics, Gauthier-Villars, 179--216, (1997).
In Conference Proceedings
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I. Gasser, S. Günzel, A. Hebbel-Seeger:
sail:lab - Development and Use of an E-Learning Application in Mathematics and Sport Sciences
International Journal of Computer Science in Sport, vol. 5(2), 60-63 (2006).
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I. Gasser, J. Struckmeier, I. Teleaga: On the numerical simulation of a low Mach-number flow,
Studia Univ. ``Babes-Bolyai'', Mathematica, vol. L (1), 51-60 (2005).
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M. Kraft, I. Gasser:
On a Model for Fires in Tunnel Network Structures ,
Proceedings in Applied Mathematics and Mechanics PAMM
(Wiley-Interscience Online Journal), vol. 4 (1), 574-575 (2004).
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G. Sirito, I. Gasser, T. Seidel:
Numerical bifurcation analysis of a car-following model,
Proceedings in Applied Mathematics and Mechanics PAMM
(Wiley-Interscience Online Journal), vol. 4 (1), 552-553 (2004).
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I. Gasser, L. Hsiao, H. Li:
Asymptotic convergence to diffusive wave of bipolar hydrodynamical model for semiconductors,
Hyperbolic problems: Theory, numerics, applications: Proceedings of the
ninth international conference in Pasadena, CA, USA, March 2002, H.~Thomas Y. (ed.),
Springer, Berlin, vol I, 165--174 (2003).
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I. Teleaga, I. Gasser, J. Struckmeier:
Modelling and Simulation of Fires in Vehicle Tunnels,
Proceedings in Applied Mathematics and Mechanics PAMM
(Wiley-Interscience Online Journal), vol. 3 (1), 400-401 (2003).
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I. Gasser, H. Steinrück:
On the Stability of Solutions of a tunnel Fire Model,
Proceedings in Applied Mathematics and Mechanics PAMM
(Wiley-Interscience Online Journal), vol. 3 (1), 444-445 (2003).
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I. Gasser: On a New One-dimensional Model to describe Tunnel Fires,
K. Gürlebeck (ed.) et al., Proceedings 16th International Conference on the Applications
of Computer Science and Mathematics in Architecture and Civil
Engineering IKM 2003, (2003).
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I. Gasser:
Modelling Fire Events in Long Tunnels,
Proceedings in Applied Mathematics and Mechanics PAMM
(Wiley-Interscience Online Journal)}, vol. 2 (1), 410-411 (2003).
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I. Gasser:
A Review on Small Debye Length and Quasi-neutral Limits in
Macroscopic Models for Charged Fluids, N. Ben Abdallah (ed.) et al.,
Dispersive Transport Equations and Multiscale Models,
IMA workshop Minneapolis, MN, USA, May 2000.
New York, NY: Springer. IMA Vol. Math. Appl. 136, 107-120 (2003).
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I. Gasser:
On Closure Conditions for the Moment Equations of a Bipolar
Kinetic Model, Proceedings in Applied Mathematics and Mechanics PAMM
(Wiley-Interscience Online Journal)}, vol. 1 (1), 5-7 (2002).
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I. Gasser, P. Marcati: A Vanishing Debye Length Limit in
a Hydrodynamic Model for Semiconductors,
Hyperbolic problems: theory, numerics, applications:
eighth international conference in Magdeburg, February, March 2000,
ed. by H. Freistühler and G. Warnecke, Birkhäuser, Basel,
vol I, 409-414 (2001).
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I. Gasser: The Small Debye Lenght Limit a Hydrodynamic Model for Charged
Fluids, ZAMM, vol. 81, suppl. 3, 597-598 (2001).
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I. Gasser: The Small Debye Lenght Limit in the Drift-Diffusion Model for
Semiconductors, EQUADIFF 99, Proceedings of the International Conference on
Differential Equations, Berlin, August 1999, edited by B. Fiedler et al., World
Scientific, 1322-1324 (2000).
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I. Gasser: The Frozen Flow Limit in a
Polyatomic Gas with Relaxation Effects, ZAMM, vol. 79, suppl. 3,
779-780 (1999).
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I. Gasser, A. Jüngel: The Quantum Hydrodynamic Model for
Semiconductors in Thermal Equilibrium,
ZAMP, vol. 48, 45-59 (1997).
- I. Gasser, P.A. Markowich, C. Pohl: A Dispersive Numerical Method
for Quantum Hydrodynamics, Proceedings of The Fourth International
Seminar on Simulation of Devices and Technologies ISSDT 1995, Berg-en-Dal,
South Africa, 178--181 (1995).
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I. Gasser, P.A. Markowich, D. Schmidt, A. Unterreiter: Macroscopic
Theory of Charged Quantum Fluids, in Mathematical
Problems in Semiconductor Physics, P. Marcati, P.A. Markowich, R. Natalini
(eds), Pitman Research Notes in Mathematics Series 340, Longman, 42-75
(1995).
- I. Gasser, P.A. Markowich: Quantum Hydrodynamics:
Derivation and Classical Limit, in Quantum
Transport in Ultrasmall Devices edited by D.K. Ferry et al.,
NATO ASI series, Series B, Physics Vol. 342, 493-496 (1995).
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I. Gasser: A Numerical Code for Piston Problems,
Report Nr. 96/93, Inst. f. Angew. u. Num. Math.,TU Wien (1993).
- I. Gasser, M. Faber, W. Feilmair, W. Kainz, H. Markum:
Four--Point--Meson-- Greenfunctions in the Strong Limit of Lattice QCD,
Procceedings of the Conference on Hadron Structure 1989, Physics and
Applications, Slovak Academy of Sciences, vol. 15, 303--307 (1989).
Submitted
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I. Gasser, C. Lattanzio, A. Maurizi:
Vehicular traffic flow dynamics on a Bus route (2012).
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E. Felaco, I. Gasser:
Modeling, Asymptotic Analysis and Simulation of the Gas Dynamics in a Chimney (2012).
Habilitation
- I. Gasser: On the Relations between Different Macroscopic Models for
Semiconductors,
Fachbereich Mathematik, Universität Hamburg (2000).
Ph.D. Thesis in Mathematics
- I. Gasser: Quantum Hydrodynamics: Derivation and Analysis,
Fachbereich Mathematik, TU Berlin (1996).
Diploma Thesis in Mathematics and in Physics
- I. Gasser: Viskose Profile für Deflagrations- und Detonationswellen,
Inst. f. Angew. u. Num. Math., TU Wien (1992).
- I. Gasser: Mehrpunkt-Meson-Greenfunktionen im starken Kopplungslimes in
der Gitter-QCD, Inst. f. Kernphysik, TU Wien (1989).