Team > PD. Dr. Ralf Kaiser
Fakultät für Mathematik, Physik und Informatik
Mathematisches Institut
Forschung
- Hydrodynamic Stability
- Dynamotheory
- Ideal MagnetoHydroDynamic Equilibria
Profile
Fakultät für Mathematik, Physik und Informatik
Mathematisches Institut
Publikationen
2022
Kaiser, Ralf; Ramming, Tobias
Axisymmetric Solutions in the Geomagnetic Direction Problem
In: Archive for Rational Mechanics and Analysis Bd. 243 (2022) Heft 1. - S. 329-399
doi:10.15495/EPub_UBT_00006033 ...
2018
Kaiser, Ralf
Approximately axisymmetric antidynamo theorems
In: SIAM Journal on Applied Mathematics Bd. 78 (2018) Heft 6. - S. 3188-3212
doi:10.1137/18M1173174 ...
Rez.: AMS MatSciNet
Kaiser, Ralf; Tilgner, Andreas
Optimal energy bounds in spherically symmetric α²-dynamos
In: Quarterly of Applied Mathematics Bd. 76 (2018) Heft 3. - S. 437-461
doi:10.1090/qam/1501 ...
Rez.: AMS MatSciNet
2017
Kaiser, Ralf; Busse, Friedrich
On the robustness of the toroidal velocity theorem
In: Geophysical & Astrophysical Fluid Dynamics Bd. 111 (2017) Heft 5. - S. 355-368
doi:10.1080/03091929.2017.1346634 ...
Rez.: AMS MatSciNet
2015
Kaiser, Ralf
A higher-order-decay result for the dynamo equation with an application to the toroidal velocit ...
In: Proceedings of the Royal Society of Edinburgh Section A: Mathematics Bd. 145 (2015) Heft 3. - S. 535-557
doi:10.1017/S0308210513000449 ...
Rez.: AMS MatSciNet
2014
Kaiser, Ralf; Tilgner, Andreas
The axisymmetric antidynamo theorem revisited
In: SIAM Journal on Applied Mathematics Bd. 74 (2014) Heft 2. - S. 571-597
doi:10.1137/130928376 ...
Rez.: AMS MatSciNet
2012
Kaiser, Ralf
Uniqueness and non-uniqueness in the non-axisymmetric direction problem
In: The Quarterly Journal of Mechanics & Applied Mathematics Bd. 65 (2012) Heft 3. - S. 357-360
doi:10.1093/qjmam/hbs005 ...
Rez.: AMS MatSciNet
Kaiser, Ralf
Well-posedness of the kinematic dynamo problem
In: Mathematical Methods in the Applied Sciences Bd. 35 (2012) Heft 11. - S. 1241-1255
doi:10.1002/mma.2516 ...
Rez.: AMS MatSciNet
2011
Kaiser, Ralf; Uecker, Hannes
Corrigendum : Well-posedness of some initial-boundary-value problems for dynamo-generated poloi ...
In: Proceedings of the Royal Society of Edinburgh Section A: Mathematics Bd. 141 (2011) Heft 4. - S. 819-824
doi:10.1017/S0308210510000028 ...
Rez.: AMS MatSciNet
2010
Kaiser, Ralf
The geomagnetic direction problem : the two-dimensional and the three-dimensional axisymmetric ...
In: SIAM Journal on Mathematical Analysis Bd. 42 (2010) Heft 2. - S. 701-728
doi:10.1137/090753486 ...
Rez.: AMS MatSciNet
2009
Kaiser, Ralf
On purely toroidal dynamo magnetic fields caused by conductivity variations
In: Geophysical & Astrophysical Fluid Dynamics Bd. 103 (2009) Heft 6. - S. 503-513
doi:10.1080/03091920903366311 ...
Rez.: AMS MatSciNet
Kaiser, Ralf
A toroidal magnetic field theorem
In: Communications in Mathematical Physics Bd. 290 (2009) Heft 2. - S. 633-649
doi:10.1007/s00220-009-0866-5 ...
Rez.: AMS MatSciNet
Kaiser, Ralf; Uecker, Hannes
Well-posedness of some initial-boundary-value problems for dynamo-generated poloidal magnetic f ...
In: Proceedings of the Royal Society of Edinburgh Section A: Mathematics Bd. 139 (2009) Heft 6. - S. 1209-1235
doi:10.1017/S0308210508000826 ...
Rez.: AMS MatSciNet
2008
Kaiser, Ralf
On the inverse dynamo problem in a simplified mean-field model
In: Geophysical & Astrophysical Fluid Dynamics Bd. 102 (2008) Heft 5. - S. 477-487
doi:10.1080/03091920802095474 ...
Rez.: AMS MatSciNet
2007
Kaiser, Ralf
The non-radial velocity theorem revisited
In: Geophysical & Astrophysical Fluid Dynamics Bd. 101 (2007) Heft 3-4. - S. 185-197
doi:10.1080/03091920701485453 ...
Rez.: AMS MatSciNet
2006
Kaiser, Ralf
On the geomagnetic direction problem : a nonexistence result
Proceedings "WASCOM 2005" 13th Conference on Waves and Stability in Continuous Media
Hackensack, NJ : World Scientific, 2006. - S. 292-297
doi:10.1142/9789812773616_0039 ...
Rez.: AMS MatSciNet
2005
Kaiser, Ralf; Tilgner, Andreas; von Wahl, Wolf
A generalized energy functional for plane Couette flow
In: SIAM Journal on Mathematical Analysis Bd. 37 (2005) Heft 2. - S. 438-454
doi:10.1137/S0036141004442604 ...
Rez.: AMS MatSciNet
Kaiser, Ralf; Mulone, G.
A note on nonlinear stability of plane parallel shear flows
In: Journal of Mathematical Analysis and Applications Bd. 302 (2005) Heft 2. - S. 543-556
doi:10.1016/j.jmaa.2004.08.025 ...
Rez.: AMS MatSciNet
Kaiser, Ralf
On the geomagnetic directional problem : a uniqueness result
In: Nonlinear Analysis : Theory, Methods & Applications Bd. 63 (2005) Heft 5-7
doi:10.1016/j.na.2005.03.001 ...
2004
Kaiser, Ralf; Neudert, Michael
A non-standard boundary value problem related to geomagnetism
In: Quarterly of Applied Mathematics Bd. 62 (2004) Heft 3. - S. 423-457
doi:10.1090/qam/2086038 ...
Rez.: AMS MatSciNet
Kaiser, Ralf; Uecker, H.
Relaxed plasma-vacuum states in cylinders
In: The Quarterly Journal of Mechanics & Applied Mathematics Bd. 57 (2004) Heft 1. - S. 1-17
doi:10.1093/qjmam/57.1.1 ...
Rez.: AMS MatSciNet
Birner, Michel; Kaiser, Ralf
Stability balls in the rotating Bénard system
In: Journal of Mathematical Fluid Mechanics Bd. 6 (2004) Heft 3. - S. 311-364
doi:10.1007/s00021-003-0096-0 ...
Rez.: AMS MatSciNet
2003
Kaiser, Ralf
Extension of Taylor's principle to plasma-vacuum systems
In: Astronomische Nachrichten Bd. 324 (2003) Heft S3. - S. 72
2002
Kaiser, Ralf; Tilgner, Andreas
On the generalized energy method for channel flows
Proceedings "WASCOM 2001" 11th Conference on Waves and Stability in Continuous Media
River Edge, NJ : World Scientific, 2002. - S. 259-270
doi:10.1142/9789812777331_0033 ...
Rez.: AMS MatSciNet
2001
Kaiser, Ralf; Schmitt, Burkhard J.
Bounds on the energy stability limit of plane parallel shear flows
In: Zeitschrift für angewandte Mathematik und Physik Bd. 52 (2001) Heft 4. - S. 573-596
doi:10.1007/PL00001562 ...
Rez.: AMS MatSciNet
Xu, Lanxi; Kaiser, Ralf; von Wahl, Wolf
Global stability in the rotating Bénard system with Couette flow, the case Pr<
In: Nonlinear Analysis : Theory, Methods & Applications Bd. 47 (2001) Heft 6. - S. 4233-4244
doi:10.1016/S0362-546X(01)00539-9 ...
Third World Congress of Nonlinear Analysts WCNA 2000, Catania, Sicily, Italy
Rez.: AMS MatSciNet
Kaiser, Ralf; Tilgner, Andreas
Invisible mean field dynamos
In: Physical Review E Bd. 63 (2001) Heft 3
doi:10.1103/PhysRevE.63.037301 ...
Spies, G. O.; Lortz, D.; Kaiser, Ralf
Relaxed plasma-vacuum systems
In: Physics of Plasmas Bd. 8 (2001) Heft 8. - S. 3652-3663
doi:10.1063/1.1383286 ...
2000
Kaiser, Ralf; Neudert, M.; von Wahl, Wolf
On the existence of force-free magnetic fields with small nonconstant α in exterior domains
In: Communications in Mathematical Physics Bd. 211 (2000) Heft 1. - S. 111-136
doi:10.1007/s002200050804 ...
Rez.: AMS MatSciNet
1999
Kagei, Y.; Kaiser, Ralf; von Wahl, Wolf; Xu, L. X.
Global Stability in Some Dissipative Systems
In: ZAMM : Journal of Applied Mathematics and Mechanics = Zeitschrift für angewandte Mathematik und Mechanik Bd. 79 (1999) Heft S1. - S. 159-162
doi:10.1002/zamm.19990791342 ...
Kaiser, Ralf; Tilgner, Andreas
Kinematic dynamos surrounded by a stationary conductor
In: Physical Review E Bd. 60 (1999) Heft 3. - S. 2949-2952
doi:10.1103/PhysRevE.60.2949 ...
Kaiser, Ralf; Tilgner, Andreas
On Vainshtein's dynamo conjecture
In: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences Bd. 455 (1999) Heft 1988. - S. 3139-3162
doi:10.1098/rspa.1999.0444 ...
Rez.: AMS MatSciNet
Birner, M.; Kaiser, Ralf; von Wahl, Wolf; Xu, L.
Two methods to compute stability balls in the rotating Bénard system, a comparison
In: ZAMM : Journal of Applied Mathematics and Mechanics = Zeitschrift für angewandte Mathematik und Mechanik Bd. 79 (1999)
1998
Kaiser, Ralf; Xu, L. X.
Nonlinear stability of the rotating Bénard problem, the case Pr=1
In: Nonlinear Differential Equations and Applications NoDEA Bd. 5 (1998) Heft 3. - S. 283-307
doi:10.1007/s000300050047 ...
Rez.: AMS MatSciNet
Kaiser, Ralf
On the uniqueness of the MHD ball lightning solution
In: ZAMM : Journal of Applied Mathematics and Mechanics = Zeitschrift für angewandte Mathematik und Mechanik Bd. 78 (1998) Heft S3. - S. 959-960
doi:10.1002/zamm.19980781550 ...
Kaiser, Ralf; von Wahl, Wolf
Stability of plane parallel shear flow in a rotating layer heated from below
In: Calculus of Variations and Partial Differential Equations Bd. 6 (1998) Heft 3. - S. 227-262
doi:10.1007/s005260050090 ...
Rez.: AMS MatSciNet
1997
Kaiser, Ralf; Salat, A.
New classes of three-dimensional ideal-MHD equilibria
In: Journal of Plasma Physics Bd. 57 (1997) Heft 2. - S. 425-448
doi:10.1017/S0022377896004862 ...
Kaiser, Ralf; von Wahl, Wolf; Xu, L. X.
Unconditional stability up to criticality in the rotating Bénard system with superimposed Couet ...
In: ZAMM : Journal of Applied Mathematics and Mechanics = Zeitschrift für angewandte Mathematik und Mechanik Bd. 77 (1997) Heft S1
1996
Kaiser, Ralf; Salat, A.
Analytic Three-Dimensional Solutions of the Magnetohydrostatic Equations with Twisted Field Lin ...
In: Physical Review Letters Bd. 77 (1996) Heft 15. - S. 3133-3136
doi:10.1103/PhysRevLett.77.3133 ...
Kaiser, Ralf; von Wahl, Wolf
A new functional for the Taylor-Couette problem in the small-gap limit
Mathematical theory in fluid mechanics
Harlow, Essex : Longman, 1996. - S. 114-134 . - (Pitman Research Notes in Mathematics Series; 354)
Rez.: AMS MatSciNet
Kaiser, Ralf
Note on the scalar dynamo model
In: Geophysical & Astrophysical Fluid Dynamics Bd. 82 (1996) Heft 1-2. - S. 125-135
doi:10.1080/03091929608213632 ...
1995
Kaiser, Ralf; Lortz, D.
Ball lightning as an example of a magnetohydrodynamic equilibrium
In: Physical Review E Bd. 52 (1995) Heft 3. - S. 3034-3044
doi:10.1103/PhysRevE.52.3034 ...
Kaiser, Ralf; Salat, A.; Tataronis, J. A.
On the existence of toroidal magnetohydrodynamic equilibria with poloidally closed magnetic fie ...
In: Physics of Plasmas Bd. 2 (1995) Heft 5. - S. 1599-1604
doi:10.1063/1.871309 ...
Salat, A.; Kaiser, Ralf
Three‐dimensional closed field line magnetohydrodynamic equilibria without symmetries
In: Physics of Plasmas Bd. 2 (1995) Heft 10. - S. 3777-3781
doi:10.1063/1.871077 ...
Kaiser, Ralf
Towards a poloidal magnetic field theorem
In: Geophysical & Astrophysical Fluid Dynamics Bd. 80 (1995) Heft 1-2. - S. 129-144
doi:10.1080/03091929508229767 ...
Rez.: AMS MatSciNet
1994
Kaiser, Ralf
MHD equilibria with cusped plasma-vacuum interfaces
In: ZAMM : Journal of Applied Mathematics and Mechanics = Zeitschrift für angewandte Mathematik und Mechanik Bd. 74 (1994) Heft 7. - S. 257-264
doi:10.1002/zamm.19940740708 ...
Rez.: AMS MatSciNet
Kaiser, Ralf; Schmitt, Burkhard J.; Busse, Friedrich
On the invisible dynamo
In: Geophysical & Astrophysical Fluid Dynamics Bd. 77 (1994) Heft 1. - S. 91-109
doi:10.1080/03091929408203677 ...
Kaiser, Ralf
On three-dimensional toroidal surface current equilibria with rational rotational transform
In: Physics of Plasmas Bd. 1 (1994) Heft 8. - S. 2693-2699
doi:10.1063/1.870596 ...
Rez.: AMS MatSciNet
Kaiser, Ralf; Salat, A.
Surface current equilibria from a geometric point of view
In: Physics of Plasmas Bd. 1 (1994) Heft 2. - S. 281-295
doi:10.1063/1.870830 ...
Rez.: AMS MatSciNet
1993
Kaiser, Ralf; Lortz, D.
On the existence of plasma corners
In: ZAMM : Journal of Applied Mathematics and Mechanics = Zeitschrift für angewandte Mathematik und Mechanik Bd. 73 (1993) Heft 3. - S. 165-171
doi:10.1002/zamm.19930730310 ...
Rez.: AMS MatSciNet
Kaiser, Ralf
Resistive ballooning modes in W7-AS and W7-X
In: Nuclear Fusion Bd. 33 (1993) Heft 9. - S. 1281-1291
doi:10.1088/0029-5515/33/9/I03 ...
Kaiser, Ralf; Tasso, H.
Three‐dimensional toroidal magnetohydrodynamics equilibria with "canal" surface currents
In: Physics of Fluids B: Plasma Physics Bd. 5 (1993) Heft 3. - S. 1030-1031
doi:10.1063/1.860506 ...
1992
Kaiser, Ralf; Lortz, D.; Spies, G. O.
Plasma corners. I. Constant toroidal current density
In: Physics of Fluids B: Plasma Physics Bd. 4 (1992) Heft 3. - S. 529-534
doi:10.1063/1.860251 ...
1991
Kaiser, Ralf
The parabola as an equilibrium plasma-vacuum interface
In: Zeitschrift für Naturforschung A Bd. 46 (1991) . - S. 469-472
http://zfn.mpdl.mpg.de/data/Reihe_A/46/ZNA-1991-46 ...
Kaiser, Ralf
Resistive Ballooning Modes in W7-X
Proceedings of the 4th Workshop on Wendelstein 7-X
Garching bei München : Max-Planck-Institut für Plasmaphysik, 1991. - S. 76-81
1990
Blask, W. H.; Furui, S.; Kaiser, Ralf; Metsch, B. C.; Huber, M. G.
A study of meson-baryon couplings in the constituent quark model
In: Zeitschrift für Physik A Hadrons and nuclei Bd. 337 (1990) Heft 4. - S. 451-463
doi:10.1007/BF01294983 ...
1989
Marquard, U.; Kaiser, Ralf; Scholl, M.
Lorentz algebra and critical dimension for the supermembrane
In: Physics Letters B Bd. 227 (1989) Heft 2. - S. 234-238
doi:10.1016/S0370-2693(89)80028-0 ...
Rez.: AMS MatSciNet
Altevogt, P.; Kaiser, Ralf
Supersymmetric gauge anomalies in 2,4,6, and 10 dimensions
In: Zeitschrift für Physik C Particles and Fields Bd. 43 (1989) Heft 3. - S. 455-468
doi:10.1007/BF01506542 ...
Rez.: AMS MatSciNet
Altevogt, P.; Kaiser, Ralf
The ten-dimensional supersymmetric gauge anomaly
In: Physics Letters B Bd. 219 (1989) Heft 4. - S. 464-468
doi:10.1016/0370-2693(89)91095-2 ...
Rez.: AMS MatSciNet
1988
Kaiser, Ralf
Supersymmetric gauge anomalies in 2 and 4 dimensions from generalized descent-equations
In: Zeitschrift für Physik C Particles and Fields Bd. 39 (1988) Heft 4. - S. 585-589
doi:10.1007/BF01555992 ...
Rez.: AMS MatSciNet
Fakultät für Mathematik, Physik und Informatik
Mathematisches Institut
PD. Dr. Ralf Kaiser
Privatdozent
Lehrstuhl Mathematik VI
Gebäude NW II
Raum 3.2.01.540
Universität Bayreuth
95440 Bayreuth
Telefon: 0921/55-3370
E-Mail: Ralf.Kaiser@uni-bayreuth.de
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