Druckansicht der Internetadresse:

Fakultät für Mathematik, Physik und Informatik

Lehrstuhl Mathematik VI Nichtlineare Analysis und Mathematische Physik

Seite drucken

Team > PD. Dr. Ralf Kaiser

zurück zur Übersicht
zurück zur Übersicht
PD. Dr. Ralf Kaiser PD. Dr. Ralf Kaiser
PD. Dr. Ralf Kaiser

Fakultät für Mathematik, Physik und Informatik
Mathematisches Institut


Forschung

  • Hydrodynamic Stability
  • Dynamotheory
  • Ideal MagnetoHydroDynamic Equilibria

Profile



PD. Dr. Ralf Kaiser

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

PD. Dr. Ralf Kaiser

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

Sprechstunde nach Vereinbarung

Verantwortlich für die Redaktion: Dr.rer.nat. Ralf Kaiser

Facebook Youtube-Kanal Instagram LinkedIn UBT-A Kontakt