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Chair of Mathematics VI Nonlinear Analysis and Mathematical Physics

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Team > PD. Dr. Ralf Kaiser

Overview
Overview
PD. Dr. Ralf Kaiser PD. Dr. Ralf Kaiser
PD. Dr. Ralf Kaiser

Fakultät für Mathematik, Physik und Informatik
Mathematisches Institut


Research

  • Hydrodynamic Stability
  • Dynamotheory
  • Ideal MagnetoHydroDynamic Equilibria

Profiles



PD. Dr. Ralf Kaiser

Fakultät für Mathematik, Physik und Informatik
Mathematisches Institut


Publications

2018

Kaiser, Ralf
Approximately axisymmetric antidynamo theorems
in SIAM Journal on Applied Mathematics volume 78 (2018) issue 6. - page 3188-3212
doi:10.1137/18M1173174 ...
rev.: AMS MatSciNet

Kaiser, Ralf; Tilgner, Andreas
Optimal energy bounds in spherically symmetric α²-dynamos
in Quarterly of Applied Mathematics volume 76 (2018) issue 3. - page 437-461
doi:10.1090/qam/1501 ...
rev.: AMS MatSciNet

2017

Kaiser, Ralf; Busse, Friedrich
On the robustness of the toroidal velocity theorem
in Geophysical & Astrophysical Fluid Dynamics volume 111 (2017) issue 5. - page 355-368
doi:10.1080/03091929.2017.1346634 ...
rev.: 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 volume 145 (2015) issue 3. - page 535-557
doi:10.1017/S0308210513000449 ...
rev.: AMS MatSciNet

2014

Kaiser, Ralf; Tilgner, Andreas
The axisymmetric antidynamo theorem revisited
in SIAM Journal on Applied Mathematics volume 74 (2014) issue 2. - page 571-597
doi:10.1137/130928376 ...
rev.: AMS MatSciNet

2012

Kaiser, Ralf
Uniqueness and non-uniqueness in the non-axisymmetric direction problem
in The Quarterly Journal of Mechanics & Applied Mathematics volume 65 (2012) issue 3. - page 357-360
doi:10.1093/qjmam/hbs005 ...
rev.: AMS MatSciNet

Kaiser, Ralf
Well-posedness of the kinematic dynamo problem
in Mathematical Methods in the Applied Sciences volume 35 (2012) issue 11. - page 1241-1255
doi:10.1002/mma.2516 ...
rev.: 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 volume 141 (2011) issue 4. - page 819-824
doi:10.1017/S0308210510000028 ...
rev.: AMS MatSciNet

2010

Kaiser, Ralf
The geomagnetic direction problem : the two-dimensional and the three-dimensional axisymmetric ...
in SIAM Journal on Mathematical Analysis volume 42 (2010) issue 2. - page 701-728
doi:10.1137/090753486 ...
rev.: AMS MatSciNet

2009

Kaiser, Ralf
On purely toroidal dynamo magnetic fields caused by conductivity variations
in Geophysical & Astrophysical Fluid Dynamics volume 103 (2009) issue 6. - page 503-513
doi:10.1080/03091920903366311 ...
rev.: AMS MatSciNet

Kaiser, Ralf
A toroidal magnetic field theorem
in Communications in Mathematical Physics volume 290 (2009) issue 2. - page 633-649
doi:10.1007/s00220-009-0866-5 ...
rev.: 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 volume 139 (2009) issue 6. - page 1209-1235
doi:10.1017/S0308210508000826 ...
rev.: AMS MatSciNet

2008

Kaiser, Ralf
On the inverse dynamo problem in a simplified mean-field model
in Geophysical & Astrophysical Fluid Dynamics volume 102 (2008) issue 5. - page 477-487
doi:10.1080/03091920802095474 ...
rev.: AMS MatSciNet

2007

Kaiser, Ralf
The non-radial velocity theorem revisited
in Geophysical & Astrophysical Fluid Dynamics volume 101 (2007) issue 3-4. - page 185-197
doi:10.1080/03091920701485453 ...
rev.: 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
New Jersey : World Scientific, 2006. - page 292-297
doi:10.1142/9789812773616\_0039 ...
rev.: AMS MatSciNet

2005

Kaiser, Ralf; Tilgner, A.; von Wahl, Wolf
A generalized energy functional for plane Couette flow
in SIAM Journal on Mathematical Analysis volume 37 (2005) issue 2. - page 438-454
doi:10.1137/S0036141004442604 ...
rev.: AMS MatSciNet

Kaiser, Ralf; Mulone, G.
A note on nonlinear stability of plane parallel shear flows
in Journal of Mathematical Analysis and Applications volume 302 (2005) issue 2. - page 543-556
doi:10.1016/j.jmaa.2004.08.025 ...
rev.: AMS MatSciNet

Kaiser, Ralf
On the geomagnetic directional problem : a uniqueness result
in Nonlinear Analysis : Theory, Methods & Applications volume 63 (2005) issue 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 volume 62 (2004) issue 3. - page 423-457
doi:10.1090/qam/2086038 ...
rev.: AMS MatSciNet

Kaiser, Ralf; Uecker, H.
Relaxed plasma-vacuum states in cylinders
in The Quarterly Journal of Mechanics & Applied Mathematics volume 57 (2004) issue 1. - page 1-17
doi:10.1093/qjmam/57.1.1 ...
rev.: AMS MatSciNet

Birner, Michel; Kaiser, Ralf
Stability balls in the rotating Bénard system
in Journal of Mathematical Fluid Mechanics volume 6 (2004) issue 3. - page 311-364
doi:10.1007/s00021-003-0096-0 ...
rev.: AMS MatSciNet

2003

Kaiser, Ralf
Extension of Taylor's principle to plasma-vacuum systems
in Astronomische Nachrichten volume 324 (2003) issue S3. - page 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
Singapore : World Scientific, 2002. - page 259-270
doi:10.1142/9789812777331\_0033 ...
rev.: 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 volume 52 (2001) issue 4. - page 573-596
doi:10.1007/PL00001562 ...
rev.: 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 volume 47 (2001) issue 6. - page 4233-4244
doi:10.1016/S0362-546X(01)00539-9 ...
Third World Congress of Nonlinear Analysts WCNA 2000, Catania, Sicily, Italy
rev.: AMS MatSciNet

Kaiser, Ralf; Tilgner, A.
Invisible mean field dynamos
in Physical Review E volume 63 (2001) issue 3
doi:10.1103/PhysRevE.63.037301 ...

Spies, G. O.; Lortz, D.; Kaiser, Ralf
Relaxed plasma-vacuum systems
in Physics of Plasmas volume 8 (2001) issue 8. - page 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 volume 211 (2000) issue 1. - page 111-136
doi:10.1007/s002200050804 ...
rev.: 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 volume 79 (1999) issue S1. - page 159-162
doi:10.1002/zamm.19990791342 ...

Kaiser, Ralf; Tilgner, A.
Kinematic dynamos surrounded by a stationary conductor
in Physical Review E volume 60 (1999) issue 3. - page 2949-2952
doi:10.1103/PhysRevE.60.2949 ...

Kaiser, Ralf; Tilgner, A.
On Vainshtein's dynamo conjecture
in Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences volume 455 (1999) issue 1988. - page 3139-3162
doi:10.1098/rspa.1999.0444 ...
rev.: 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 volume 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 volume 5 (1998) issue 3. - page 283-307
doi:10.1007/s000300050047 ...
rev.: 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 volume 78 (1998) issue S3. - page 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 volume 6 (1998) issue 3. - page 227-262
doi:10.1007/s005260050090 ...
rev.: AMS MatSciNet

1997

Kaiser, Ralf; Salat, A
New classes of three-dimensional ideal-MHD equilibria
in Journal of Plasma Physics volume 57 (1997) issue 2. - page 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 volume 77 (1997) issue S1

1996

Kaiser, Ralf; Salat, A.
Analytic Three-Dimensional Solutions of the Magnetohydrostatic Equations with Twisted Field Lin ...
in Physical Review Letters volume 77 (1996) issue 15. - page 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. - page 114-134 . - (Pitman Research Notes in Mathematics Series; 354)
rev.: AMS MatSciNet

Kaiser, Ralf
Note on the scalar dynamo model
in Geophysical & Astrophysical Fluid Dynamics volume 82 (1996) issue 1-2. - page 125-135
doi:10.1080/03091929608213632 ...

1995

Kaiser, Ralf; Lortz, D.
Ball lightning as an example of a magnetohydrodynamic equilibrium
in Physical Review E volume 52 (1995) issue 3. - page 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 volume 2 (1995) issue 5. - page 1599-1604
doi:10.1063/1.871309 ...

Salat, A.; Kaiser, Ralf
Three‐dimensional closed field line magnetohydrodynamic equilibria without symmetries
in Physics of Plasmas volume 2 (1995) issue 10. - page 3777-3781
doi:10.1063/1.871077 ...

Kaiser, Ralf
Towards a poloidal magnetic field theorem
in Geophysical & Astrophysical Fluid Dynamics volume 80 (1995) issue 1-2. - page 129-144
doi:10.1080/03091929508229767 ...
rev.: 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 volume 74 (1994) issue 7. - page 257-264
doi:10.1002/zamm.19940740708 ...
rev.: AMS MatSciNet

Kaiser, Ralf; Schmitt, B. J.; Busse, Friedrich
On the invisible dynamo
in Geophysical & Astrophysical Fluid Dynamics volume 77 (1994) issue 1. - page 91-109
doi:10.1080/03091929408203677 ...

Kaiser, Ralf
On three-dimensional toroidal surface current equilibria with rational rotational transform
in Physics of Plasmas volume 1 (1994) issue 8. - page 2693-2699
doi:10.1063/1.870596 ...
rev.: AMS MatSciNet

Kaiser, Ralf; Salat, A.
Surface current equilibria from a geometric point of view
in Physics of Plasmas volume 1 (1994) issue 2. - page 281-295
doi:10.1063/1.870830 ...
rev.: 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 volume 73 (1993) issue 3. - page 165-171
doi:10.1002/zamm.19930730310 ...
rev.: AMS MatSciNet

Kaiser, Ralf
Resistive ballooning modes in W7-AS and W7-X
in Nuclear Fusion volume 33 (1993) issue 9. - page 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 volume 5 (1993) issue 3. - page 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 volume 4 (1992) issue 3. - page 529-534
doi:10.1063/1.860251 ...

1991

Kaiser, Ralf
The parabola as an equilibrium plasma-vacuum interface
in Zeitschrift für Naturforschung A volume 46 (1991) . - page 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. - page 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 volume 337 (1990) issue 4. - page 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 volume 227 (1989) issue 2. - page 234-238
doi:10.1016/S0370-2693(89)80028-0 ...
rev.: AMS MatSciNet

Altevogt, P.; Kaiser, Ralf
Supersymmetric gauge anomalies in 2,4,6, and 10 dimensions
in Zeitschrift für Physik C Particles and Fields volume 43 (1989) issue 3. - page 455-468
doi:10.1007/BF01506542 ...
rev.: AMS MatSciNet

Altevogt, P.; Kaiser, Ralf
The ten-dimensional supersymmetric gauge anomaly
in Physics Letters B volume 219 (1989) issue 4. - page 464-468
doi:10.1016/0370-2693(89)91095-2 ...
rev.: 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 volume 39 (1988) issue 4. - page 585-589
doi:10.1007/BF01555992 ...
rev.: AMS MatSciNet

PD. Dr. Ralf Kaiser

Fakultät für Mathematik, Physik und Informatik
Mathematisches Institut


PD. Dr. Ralf Kaiser
Privatdozent

Chair of Mathematics VI
Building NW II
Room 3.2.01.540
Universität Bayreuth    
95440 Bayreuth   

Phone: 0921/55-3370
E-mail: Ralf.Kaiser@uni-bayreuth.de

Office hours by appointment

Webmaster: Dr.rer.nat. Ralf Kaiser

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