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
- I.
Gasser, M. Rybicki: Modeling and simulation of gas
dynamics in an exhaust pipe,
Applied Mathematical Modelling 73 (5), 2747–2764 (2013).
- 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).
- M.
Bauer, I. Gasser: Modeling, asymptotic analysis
and simulation of an Energy Tower,
SIAM J. Appl. Math.
72 (1), 362-381 (2012).
- 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).
- I.
Gasser, B. Werner: Dynamical phenomena induced by
bottleneck, Phil. Trans. R. Soc. A, vol. 368, 4543-4562 (2010).
- 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).
- I.
Gasser: Modelling and Simulation of a Solar
Updraft Tower, Kinetic and Related Models
KRM, vol. 2 (1), 191-204 (2009).
- I.
Gasser, M. Kraft : Modelling and Simulation of Fires in
Tunnel Networks, Networks and Heterogeneous
Media, vol. 3 (4), 691-707 (2008).
- I.
Gasser, P. Marcati: On a Generalisation
of the ``Div-Curl Lemma'', Osaka Journal of Mathematics, vol. 45 (1), 211-214 (2008).
- 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).
- 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).
- 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).
- 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).
- I.
Gasser: One-dimensional Modelling of Tunnel Fires, Mitt. Math.
Ges. Hamburg, vol. 23 (1), 49-62 (2004).
- 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).
- 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).
- I. Gasser: On the Mathematics of Tunnel Fires,
Mitteilungen der GAMM, vol. 26 (1-2), 109-126 (2003).
- 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).
- 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).
- I.
Gasser, P. Marcati: A Quasineutral
Limit in a Hydrodynamic Model for Charged Fluids, Monatshefte der Mathematik
vol. 138 (3), 189-208 (2003).
- 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).
- 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).
- 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).
- 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).
- 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).
- I.
Gasser, P. Szmolyan: Polyatomic Gas with Relaxation
Effects, Math. Models Methods Appl. Sci. M³AS, vol. 11 (1), 87-104 (2001).
- I.
Gasser: A Note on Traveling Wave
Solutions for a Quantum Hydrodynamic Model, Appl. Math.
Lett.,
vol. 14 (3), 279-283 (2001).
- 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).
- 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) .
- 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).
- I.
Gasser, P.A. Markowich, B.
Perthame: Dispersion and moment lemmas
revisited, Journal of Differential
Equations, vol. 156, 254-281 (1999).
- I.
Gasser: On Hartree-Fock
Systems, VLSI Design, vol. 9 (4),
357-364 (1999).
- I. Gasser, P.A. Markowich, B.
Perthame: Dispersion lemmas revisited,
VLSI Design, vol. 9 (4), 365-375 (1999).
- 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).
- 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).
- I.
Gasser, A. Jüngel: The Quantum Hydrodynamic Model
for Semiconductors in Thermal Equilibrium, ZAMP, vol. 48, 45-59 (1997).
- I.
Gasser, P.A. Markowich: Quantum Hydrodynamics, Wigner
Transforms and the Classical Limit,
Asymptotic Analysis, vol. 14, 97-116 (1997).
- 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).
- 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).
- 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
- 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.
- 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).
- 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
- 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).
- 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).
- 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).
- 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).
- 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).
- 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).
- 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).
- 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).
- 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).
- 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).
- 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).
- 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).
- I.
Gasser: The Small Debye Lenght Limit a
Hydrodynamic Model for Charged Fluids, ZAMM, vol. 81, suppl. 3,
597-598 (2001).
- 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).
- I.
Gasser: The Frozen Flow Limit in a Polyatomic Gas with Relaxation
Effects, ZAMM, vol. 79, suppl. 3, 779-780 (1999).
- 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).
- 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).
- 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
- I.
Gasser, C. Lattanzio, A.
Maurizi: Vehicular traffic flow dynamics on a
Bus route (2012).
- 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).