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## Birnir, Bjorn

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 Author ID: birnir.bjorn Published as: Birnir, B.; Birnir, Bjorn; Birnir, Björn
 Documents Indexed: 44 Publications since 1986, including 3 Books
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#### Co-Authors

 17 single-authored 4 Svanstedt, Nils E. M. 3 Hauksson, Höskuldur Ari 2 Einarsson, Baldvin 2 Grauer, Rainer 2 Pinsky, Mark Allan 2 Ponce, Gustavo 2 Smereka, Peter 2 Wellander, Niklas 1 Banerjee, Swarnendu 1 Barbaro, Alethea B. T. 1 Bertozzi, Andrea Louise 1 Bewley, Gregory P. 1 Bonilla, Luis Lopez 1 Carpio, Ana 1 Cattan, David 1 Cebrián, Elena 1 Cornejo-Donoso, Jorge 1 Hernández, José Antonio 1 Hou, Songming 1 Kaminsky, John 1 Kenig, Carlos Eduardo 1 McKean, Henry P. jun. 1 Mertens, Karel R. S. M. 1 Nelson, Kenneth 1 Putkaradze, Vakhtang 1 Rowlett, Julie 1 Sigursson, Sven 1 Sinhuber, Michael 1 Smith, Terence R. 1 Taylor, Kirk 1 Trethewey, Peterson F. 1 Vega, Luis 1 Vidal, Perfecto 1 Vorobieff, Peter 1 Weinstein, Alan David 1 Welsh, Edward 1 Youseff, Lamia
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#### Serials

 5 Communications on Pure and Applied Mathematics 4 Journal of Nonlinear Science 3 Physica D 2 SIAM Journal on Applied Mathematics 2 Discrete and Continuous Dynamical Systems 2 International Journal of Nonlinear Sciences and Numerical Simulation 2 Mathematical Sciences Research Institute Publications 1 Communications in Mathematical Physics 1 Journal of Fluid Mechanics 1 Journal of Mathematical Physics 1 Journal of Statistical Physics 1 Physics of Fluids 1 Journal of the London Mathematical Society. Second Series 1 Mathematics and Computers in Simulation 1 Quarterly of Applied Mathematics 1 SIAM Journal on Control and Optimization 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Applied Mathematical Modelling 1 Nonlinear Studies 1 Communications in Nonlinear Science and Numerical Simulation 1 Journal of Nonlinear Mathematical Physics 1 Discrete and Continuous Dynamical Systems. Series B 1 Communications on Pure and Applied Analysis 1 AMRX. Applied Mathematics Research eXpress 1 Banach Journal of Mathematical Analysis 1 Mathematical Geosciences 1 Journal of Theoretical Biology 1 SpringerBriefs in Mathematics
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#### Fields

 31 Partial differential equations (35-XX) 16 Fluid mechanics (76-XX) 13 Dynamical systems and ergodic theory (37-XX) 8 Probability theory and stochastic processes (60-XX) 6 Ordinary differential equations (34-XX) 5 Biology and other natural sciences (92-XX) 3 Numerical analysis (65-XX) 2 General and overarching topics; collections (00-XX) 2 Geophysics (86-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Real functions (26-XX) 1 Sequences, series, summability (40-XX) 1 Operator theory (47-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Manifolds and cell complexes (57-XX) 1 Mechanics of particles and systems (70-XX) 1 Mechanics of deformable solids (74-XX) 1 Optics, electromagnetic theory (78-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Quantum theory (81-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Systems theory; control (93-XX)

#### Citations contained in zbMATH

33 Publications have been cited 238 times in 181 Documents Cited by Year
On the ill-posedness of the IVP for the generalized Korteweg-de Vries and nonlinear Schrödinger equations. Zbl 0855.35112
Birnir, Björn; Kenig, Carlos E.; Ponce, Gustavo; Svanstedt, Nils; Vega, Luis
1996
Complex Hill’s equation and the complex periodic Korteweg-de Vries equations. Zbl 0592.47004
Birnir, Björn
1986
Discrete and continuous models of the dynamics of pelagic fish: application to the capelin. Zbl 1281.92058
Barbaro, Alethea B. T.; Taylor, Kirk; Trethewey, Peterson F.; Youseff, Lamia; Birnir, Björn
2009
An ODE model of the motion of pelagic fish. Zbl 1115.92063
Birnir, Björn
2007
The rigidity of sine-Gordon breathers. Zbl 0814.35112
Birnir, Björn; McKean, Henry P.; Weinstein, Alan
1994
The Kolmogorov-Obukhov statistical theory of turbulence. Zbl 1282.76112
Birnir, Björn
2013
The local ill-posedness of the modified KdV equation. Zbl 0858.35130
Birnir, Björn; Ponce, Gustavo; Svanstedt, Nils
1996
An example of blow-up, for the complex KdV equation and existence beyond the blow-up. Zbl 0647.35076
Birnir, Björn
1987
An explicit description of the global attractor of the damped and driven sine-Gordon equation. Zbl 0805.35122
Birnir, Björn; Grauer, Rainer
1994
Singularities of the complex Korteweg-de Vries flows. Zbl 0605.35076
Birnir, Björn
1986
The Kolmogorov-Obukhov theory of turbulence. A mathematical theory of turbulence. Zbl 1273.76001
Birnir, Björn
2013
Regular and chaotic bubble oscillations in periodically driven pressure fields. Zbl 0636.76116
Smereka, P.; Birnir, B.; Banerjee, S.
1987
Existence theory and strong attractors for the Rayleigh-Bénard problem with a large aspect ratio. Zbl 1174.76308
Birnir, Björn; Svanstedt, Nils
2004
Chaotic perturbations of KdV. I. Rational solutions. Zbl 0609.35078
Birnir, Bjorn
1986
Mathematical models for erosion and the optimal transportation of sediment. Zbl 1401.86002
Birnir, Bjorn; Rowlett, Julie
2013
The basic attractor of the viscous Moore-Greitzer equation. Zbl 1021.34043
Birnir, B.; Hauksson, H. A.
2001
Morphology of a stream flowing down an inclined plane. II. Meandering. Zbl 1145.76378
Birnir, B.; Mertens, K.; Putkaradze, V.; Vorobieff, P.
2008
Derivation of the viscous Moore-Greitzer equation for aeroengine flow. Zbl 1144.81315
Birnir, Björn; Hou, Songming; Wellander, Niklas
2007
The stochastic theory of fluvial landsurfaces. Zbl 1107.35042
Birnir, B.; Hernandez, J.; Smith, T. R.
2007
A finite dimensional attractor of the Moore-Greitzer PDE model. Zbl 0926.34040
Birnir, Björn; Hauksson, Höskuldur Ari
1999
The center manifold and bifurcations of damped and driven sine-Gordon breathers. Zbl 0755.35114
Grauer, Rainer; Birnir, Björn
1992
Existence theory and invariant manifolds of bubble clouds. Zbl 0694.76043
Birnir, Björn; Smereka, Peter
1990
The Kolmogorov-Obukhov-She-Leveque scaling in turbulence. Zbl 1305.76043
Birnir, Björn
2014
Existence, uniqueness and statistical theory of turbulent solutions of the stochastic Navier-Stokes equation, in three dimensions – an overview. Zbl 1206.35266
Birnir, Björn
2010
Shocks in the evolution of an eroding channel. Zbl 1116.35341
Welsh, Edward; Birnir, Björn; Bertozzi, Andrea
2006
Basic control for the viscous Moore-Greitzer partial differential equation. Zbl 0988.49025
Birnir, Björn; Hauksson, Höskuldur Ari
2000
Qualitative analysis of radiating breathers. Zbl 0793.35088
Birnir, Björn
1994
From wind-blown sand to turbulence and back. Zbl 1382.76274
Birnir, Björn
2016
Turbulence of a unidirectional flow. Zbl 1171.35094
Birnir, Björn
2008
Turbulent rivers. Zbl 1156.35072
Birnir, Björn
2008
Homogenized Maxwell’s equations: a model for ceramic varistors. Zbl 1235.35270
Birnir, Björn; Wellander, Niklas
2006
Nonexistence of periodic solutions to hyperbolic partial differential equations. Zbl 0814.35111
Birnir, Björn
1994
Chaotic perturbations of KdV equations. I: Rational solutions. Zbl 0618.35101
Birnir, Björn
1986
From wind-blown sand to turbulence and back. Zbl 1382.76274
Birnir, Björn
2016
The Kolmogorov-Obukhov-She-Leveque scaling in turbulence. Zbl 1305.76043
Birnir, Björn
2014
The Kolmogorov-Obukhov statistical theory of turbulence. Zbl 1282.76112
Birnir, Björn
2013
The Kolmogorov-Obukhov theory of turbulence. A mathematical theory of turbulence. Zbl 1273.76001
Birnir, Björn
2013
Mathematical models for erosion and the optimal transportation of sediment. Zbl 1401.86002
Birnir, Bjorn; Rowlett, Julie
2013
Existence, uniqueness and statistical theory of turbulent solutions of the stochastic Navier-Stokes equation, in three dimensions – an overview. Zbl 1206.35266
Birnir, Björn
2010
Discrete and continuous models of the dynamics of pelagic fish: application to the capelin. Zbl 1281.92058
Barbaro, Alethea B. T.; Taylor, Kirk; Trethewey, Peterson F.; Youseff, Lamia; Birnir, Björn
2009
Morphology of a stream flowing down an inclined plane. II. Meandering. Zbl 1145.76378
Birnir, B.; Mertens, K.; Putkaradze, V.; Vorobieff, P.
2008
Turbulence of a unidirectional flow. Zbl 1171.35094
Birnir, Björn
2008
Turbulent rivers. Zbl 1156.35072
Birnir, Björn
2008
An ODE model of the motion of pelagic fish. Zbl 1115.92063
Birnir, Björn
2007
Derivation of the viscous Moore-Greitzer equation for aeroengine flow. Zbl 1144.81315
Birnir, Björn; Hou, Songming; Wellander, Niklas
2007
The stochastic theory of fluvial landsurfaces. Zbl 1107.35042
Birnir, B.; Hernandez, J.; Smith, T. R.
2007
Shocks in the evolution of an eroding channel. Zbl 1116.35341
Welsh, Edward; Birnir, Björn; Bertozzi, Andrea
2006
Homogenized Maxwell’s equations: a model for ceramic varistors. Zbl 1235.35270
Birnir, Björn; Wellander, Niklas
2006
Existence theory and strong attractors for the Rayleigh-Bénard problem with a large aspect ratio. Zbl 1174.76308
Birnir, Björn; Svanstedt, Nils
2004
The basic attractor of the viscous Moore-Greitzer equation. Zbl 1021.34043
Birnir, B.; Hauksson, H. A.
2001
Basic control for the viscous Moore-Greitzer partial differential equation. Zbl 0988.49025
Birnir, Björn; Hauksson, Höskuldur Ari
2000
A finite dimensional attractor of the Moore-Greitzer PDE model. Zbl 0926.34040
Birnir, Björn; Hauksson, Höskuldur Ari
1999
On the ill-posedness of the IVP for the generalized Korteweg-de Vries and nonlinear Schrödinger equations. Zbl 0855.35112
Birnir, Björn; Kenig, Carlos E.; Ponce, Gustavo; Svanstedt, Nils; Vega, Luis
1996
The local ill-posedness of the modified KdV equation. Zbl 0858.35130
Birnir, Björn; Ponce, Gustavo; Svanstedt, Nils
1996
The rigidity of sine-Gordon breathers. Zbl 0814.35112
Birnir, Björn; McKean, Henry P.; Weinstein, Alan
1994
An explicit description of the global attractor of the damped and driven sine-Gordon equation. Zbl 0805.35122
Birnir, Björn; Grauer, Rainer
1994
Qualitative analysis of radiating breathers. Zbl 0793.35088
Birnir, Björn
1994
Nonexistence of periodic solutions to hyperbolic partial differential equations. Zbl 0814.35111
Birnir, Björn
1994
The center manifold and bifurcations of damped and driven sine-Gordon breathers. Zbl 0755.35114
Grauer, Rainer; Birnir, Björn
1992
Existence theory and invariant manifolds of bubble clouds. Zbl 0694.76043
Birnir, Björn; Smereka, Peter
1990
An example of blow-up, for the complex KdV equation and existence beyond the blow-up. Zbl 0647.35076
Birnir, Björn
1987
Regular and chaotic bubble oscillations in periodically driven pressure fields. Zbl 0636.76116
Smereka, P.; Birnir, B.; Banerjee, S.
1987
Complex Hill’s equation and the complex periodic Korteweg-de Vries equations. Zbl 0592.47004
Birnir, Björn
1986
Singularities of the complex Korteweg-de Vries flows. Zbl 0605.35076
Birnir, Björn
1986
Chaotic perturbations of KdV. I. Rational solutions. Zbl 0609.35078
Birnir, Bjorn
1986
Chaotic perturbations of KdV equations. I: Rational solutions. Zbl 0618.35101
Birnir, Björn
1986
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#### Cited by 277 Authors

 16 Birnir, Bjorn 9 Carrillo de la Plata, José Antonio 6 Gesztesy, Fritz 6 Valero, José 5 Kapustyan, Oleksiy V. 5 Ponce, Gustavo 4 Himonas, A. Alexandrou 4 Kenig, Carlos Eduardo 4 Muñoz, Claudio 4 Tzvetkov, Nikolay 3 Alejo, Miguel A. 3 Babak, Petro Panasovych 3 Colliander, James E. 3 Ha, Seung-Yeal 3 Hakkaev, Sevdzhan A. 3 Jentzen, Arnulf 3 Leal, L. Gary 3 Li, Yongxiang 3 Linares, Felipe 3 Pastor, Ademir 3 Pušnik, Primož 3 Tao, Terence 3 Vega, Luis 3 Weikard, Rudi 2 Bae, Hyeong-Ohk 2 Barbaro, Alethea B. T. 2 Barndorff-Nielsen, Ole Eiler 2 Bejenaru, Ioan 2 Bostan, Mihai 2 Burq, Nicolas 2 Cañizo, José Alfredo 2 Carvajal, Xavier Paredes 2 Chen, Zhijie 2 Christov, Ognyan 2 Degond, Pierre 2 Denzler, Jochen 2 Düring, Bertram 2 Einarsson, Baldvin 2 Engelbrecht, Jüri 2 Esfahani, Amin 2 Farah, Luiz Gustavo 2 Gerard, Patrick 2 Grauer, Rainer 2 Holliman, Curtis 2 Iliev, Iliya Dimov 2 Jog, Chandrashekhar S. 2 Keel, Markus 2 Kreusser, Lisa Maria 2 Lee, Sanghyeok 2 Lenbury, Yongwimon 2 Lin, Chang-Shou 2 Martin, Stephan 2 Molinet, Luc 2 Nandakumaran, Akambadath Keerthiyil 2 Nerlich, Alexander 2 Ortega, Rafael 2 Palacios, José Manuel 2 Pankov, Andrey V. 2 Petronilho, Gerson 2 Prakash, Ravi 2 Raymond, Jean-Pierre 2 Robles-Pérez, Aureliano M. 2 Saut, Jean-Claude 2 Schneider, Guido 2 Schönlieb, Carola-Bibiane 2 Shatah, Jalal 2 Staffilani, Gigliola 2 Steen, Paul H. 2 Suksamran, Jeerawan 2 Szeri, Andrew J. 2 Takaoka, Hideo 2 Titi, Edriss Saleh 2 Tkachenko, Vadim Aleksandrovich 2 Wellander, Niklas 2 Wu, Jiahong 2 Yoo, Jane 2 Yuan, Juanming 1 Balagué, Daniel 1 Balasuriya, Sanjeeva 1 Barashenkov, Igor V. 1 Barber, Bradley P. 1 Batchenko, Volodymyr 1 Bendsoe, Martin Philip 1 Berman, Gennady P. 1 Bewley, Gregory P. 1 Bhattacharya, Kaushik 1 Biagioni, Hebe A. 1 Binder, Benjamin James 1 Bjørkavåg, Magnar 1 Blank, Carsten 1 Bolley, François 1 Bonilla, Luis Lopez 1 Borzì, Alfio 1 Bostwick, J. B. 1 Bourdin, Blaise 1 Burger, Martin 1 Buys, Mutiara 1 Casteleiro, Manuel 1 Cattan, David 1 Cazenave, Thierry ...and 177 more Authors
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#### Cited in 81 Serials

 13 Journal of Mathematical Analysis and Applications 12 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 11 Journal of Differential Equations 9 Physica D 7 Journal of Fluid Mechanics 7 Transactions of the American Mathematical Society 5 Communications in Mathematical Physics 5 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 5 Proceedings of the American Mathematical Society 4 Journal of Functional Analysis 3 Journal d’Analyse Mathématique 3 International Journal for Numerical Methods in Engineering 3 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 3 Journal of Nonlinear Science 2 Journal of Mathematical Physics 2 Journal of Statistical Physics 2 Wave Motion 2 Physics of Fluids, A 2 Applied Mathematics and Computation 2 Duke Mathematical Journal 2 Inventiones Mathematicae 2 Mathematics and Computers in Simulation 2 Quarterly of Applied Mathematics 2 Journal of the American Mathematical Society 2 European Journal of Applied Mathematics 2 Communications in Partial Differential Equations 2 Bulletin of the American Mathematical Society. New Series 2 NoDEA. Nonlinear Differential Equations and Applications 2 Communications in Nonlinear Science and Numerical Simulation 2 International Journal of Nonlinear Sciences and Numerical Simulation 2 Nonlinear Analysis. Real World Applications 2 Discrete and Continuous Dynamical Systems. Series B 2 Structural and Multidisciplinary Optimization 2 Advances in Difference Equations 2 Journal of Physics A: Mathematical and Theoretical 2 Evolution Equations and Control Theory 1 Applicable Analysis 1 Archive for Rational Mechanics and Analysis 1 Communications on Pure and Applied Mathematics 1 International Journal of Theoretical Physics 1 Letters in Mathematical Physics 1 Nonlinearity 1 Chaos, Solitons and Fractals 1 Theory of Probability and its Applications 1 Acta Mathematica 1 Journal für die Reine und Angewandte Mathematik 1 Meccanica 1 Numerical Functional Analysis and Optimization 1 Numerische Mathematik 1 Acta Applicandae Mathematicae 1 Dynamics and Stability of Systems 1 Applications of Mathematics 1 Numerical Algorithms 1 Applied Mathematical Modelling 1 SIAM Journal on Mathematical Analysis 1 Journal of Dynamics and Differential Equations 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 SIAM Journal on Scientific Computing 1 Physics of Fluids 1 Journal of Mathematical Sciences (New York) 1 Bulletin des Sciences Mathématiques 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Discrete Dynamics in Nature and Society 1 Journal of Mathematical Fluid Mechanics 1 European Journal of Mechanics. B. Fluids 1 Archives of Computational Methods in Engineering 1 Stochastics and Dynamics 1 Communications on Pure and Applied Analysis 1 SIAM Journal on Applied Dynamical Systems 1 Boundary Value Problems 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Proceedings of the Steklov Institute of Mathematics 1 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 1 European Journal of Pure and Applied Mathematics 1 Kinetic and Related Models 1 Mathematical Geosciences 1 Set-Valued and Variational Analysis 1 Journal of Theoretical Biology 1 Stochastic and Partial Differential Equations. Analysis and Computations 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys 1 Journal of Elliptic and Parabolic Equations
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#### Cited in 29 Fields

 118 Partial differential equations (35-XX) 34 Fluid mechanics (76-XX) 29 Dynamical systems and ergodic theory (37-XX) 21 Ordinary differential equations (34-XX) 17 Biology and other natural sciences (92-XX) 15 Statistical mechanics, structure of matter (82-XX) 13 Probability theory and stochastic processes (60-XX) 12 Numerical analysis (65-XX) 10 Mechanics of deformable solids (74-XX) 9 Operator theory (47-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 4 Special functions (33-XX) 4 Mechanics of particles and systems (70-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Difference and functional equations (39-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Quantum theory (81-XX) 2 Number theory (11-XX) 2 Algebraic geometry (14-XX) 2 Optics, electromagnetic theory (78-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 Measure and integration (28-XX) 1 Functions of a complex variable (30-XX) 1 Integral transforms, operational calculus (44-XX) 1 Integral equations (45-XX) 1 Statistics (62-XX) 1 Geophysics (86-XX) 1 Systems theory; control (93-XX)