| 23. |
F. Achleitner, A. Arnold, A. Jüngel: Necessary and sufficient conditions for strong stability of explicit Runge-Kutta methods, conference proceedings in "From Particle Systems to Partial Differential Equations", in the series "Springer Proceedings in Mathematics & Statistics", vol 465. Springer 2024, 1--21.
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| 22. |
F. Achleitner, A. Arnold, V. Mehrmann, E. Nigsch: Hypocoercivity in Hilbert spaces, J. Functional Analysis 288 (2025), 38 pages, online first.
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| 21. |
F. Achleitner, et al.: Fractional Dissipative PDEs, book chapter in: Kevrekidis, P.G., Cuevas-Maraver, J. (eds) Fractional Dispersive Models and Applications. Nonlinear Systems and Complexity, vol 37. Springer, Cham (2024), 30 pages.
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| 20. |
F. Achleitner, A. Arnold, V. Mehrmann: Hypocoercivity in algebraically constrained partial differential equations with application to Oseen equations, J. Dyn. Diff. Equat. (2023), 43 pages, online first.
|
| 19. |
F. Achleitner, A. Arnold, E.A. Carlen: The hypocoercivity index for the short time behavior of linear time-invariant ODE systems, J. Differential Equations 371 (2023), 83--115.
|
| 18. |
F. Achleitner, A. Arnold, V. Mehrmann: Hypocoercivity and hypocontractivity concepts for linear dynamical systems, Electron. J. Linear Algebra 39 (2023), 33--61.
|
| 17. |
F. Achleitner, A. Arnold, V. Mehrmann: Hypocoercivity and controllability in linear semi-dissipative Hamiltonian ordinary differential equations and differential-algebraic equations, Z. Angew. Math. Mech. 2021; e202100171.
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| 16. |
F. Achleitner, C. Kuehn, J.M. Melenk, A. Rieder: Metastable speeds in the fractional Allen--Cahn equation, Appl. Math. Comput. 408 (2021), Paper No. 126329, 18 pp.
|
| 15. |
F. Achleitner, A. Arnold, B. Signorello: On Optimal Decay Estimates for ODEs and PDEs with Modal Decomposition, conference proceedings in "Stochastic dynamics out of equilibrium", Vol. 282 of the series "Springer Proceedings in Mathematics & Statistics", Springer 2019, 241-264.
|
| 14. |
F. Achleitner, A. Jüngel, M. Yamamoto: Large-time asymptotics of a fractional drift-diffusion-Poisson system via the entropy method, Nonlinear Analysis 179, (2019), 270-293.
|
| 13. |
F. Achleitner, A. Arnold, E. Carlen: On multi-dimensional hypocoercive BGK models, Kinet. Relat. Models 11, (2018), no. 4, 953-1009.
|
| 12. |
F. Achleitner, Y. Ueda: Asymptotic stability of traveling wave solutions for nonlocal viscous conservation
laws with explicit decay rates, Journal of Evolution Equations 18, (2018), no.2, 923-946.
|
| 11. |
F. Achleitner: Two classes of nonlocal Evolution Equations related by a shared Traveling Wave Problem, conference proceedings in "From Particle Systems to Partial Differential Equations IV", Volume 209 of the series "Springer Proceedings in Mathematics & Statistics", Springer 2017, 47-72.
|
| 10. |
C. M. Cuesta, F. Achleitner: Addendum to "Travelling waves for a non-local Korteweg-de Vries-Burgers equation” [J. Differential Equations 257 (2014), no. 3, 720-758], J. Differential Equations 262, (2017), no. 2, 1155-1160.
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| 9. |
F. Achleitner, A. Arnold, E. Carlen: On linear hypocoercive BGK models, conference proceedings in "From Particle Systems to Partial Differential Equations III", Volume 162 of the series "Springer Proceedings in Mathematics & Statistics", Springer 2016, 1-37
|
| 8. |
F. Achleitner, A. Arnold, D. Stürzer: Large-time behavior in non-symmetric Fokker-Planck equations, Rivista di Matematica della Universit`a di Parma 6, No. 1 (2015), 1-68.
|
| 7. |
F. Achleitner, C. Kuehn: Analysis and numerics of traveling waves for asymmetric fractional reaction-diffusion equations, in Communications in Applied and Industrial Mathematics 6, No. 2 (2015).
|
| 6. |
F. Achleitner, C. Kuehn: Traveling waves for a bistable equation with nonlocal diffusion, Advances in Differential Equations 20, No. 9-10 (2015), 887-936.
|
| 5. |
F. Achleitner, C. Kuehn: On bounded positive stationary solutions for a nonlocal Fisher-KPP equation, Nonlinear Analysis 112 (2015), 15-29.
|
| 4. |
F. Achleitner, C.M. Cuesta, S. Hittmeir: Travelling waves for a non-local Korteweg-de Vries-Burgers equation, J. Differential Equations 257, No. 3 (2014), 720-758.
|
| 3. |
F. Achleitner, S. Hittmeir, C. Schmeiser: On nonlinear conservation laws regularized by a Riesz-Feller operator, in Proceedings of the conference on Hyperbolic Problems HYP2012 in Padova 2012, F. Ancona, A. Bressan, P. Marcati, A. Marson (eds.), AIMS 2014.
|
| 2. |
F. Achleitner, P. Szmolyan: Saddle-node bifurcation of viscous profiles, Physica D. Nonlinear Phenomena 241, No. 20 (2012), 1703-1717.
|
| 1. |
F. Achleitner, S. Hittmeir, C. Schmeiser: On nonlinear conservation laws with a nonlocal diffusion term, J. Differential Equations 250, No. 4 (2011), 2177-2196.
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