Recent publications of the Analysis and PDE group
Main content
Permanent members
Erlend Grong
2023
1. Grong, Erlend; Markina, Irina. Harmonic maps into sub-Riemannian Lie groups. Communications in analysis and mechanics 2023 ;Volum 15.(3) s. 515-532UiB
2022
2. Baudoin, Fabrice; Grong, Erlend; Rizzi, Luca; Vega-Molino, Gianmarco. H-type foliations. Differential geometry and its applications 2022 ;Volum 85:101952.UiB
3. Baudoin, Fabrice; Grong, Erlend; Vega-Molino, Gianmarco. A horizontal Chern–Gauss–Bonnet formula on totally geodesic foliations. Annals of Global Analysis and Geometry 2022 ;Volum 61. s. 759-776UiB
4. Grong, Erlend. Curvature and the equivalence problem in sub-Riemannian geometry. Archivum mathematicum 2022 ;Volum 58.(5) s. 295-327UiB
5. Grong, Erlend; Nilssen, Torstein; Schmeding, Alexander. Geometric rough paths on infinite dimensional spaces. Journal of Differential Equations 2022 ;Volum 340. s. 151-178UIA NORD UiB
Henrick Kalisch
2024
1. Hussien Elkhorbatly, Bashar; Kalisch, Henrik; Israwi, Samer. Convergence of mechanical balance laws for water waves: from KdV to Euler. Nonlinearity 2024 ;Volum 37.(2) s. -UiB
2023
2. Carter, John D.; Francius, Marc; Kharif, Christian; Kalisch, Henrik; Abid, Malek. The superharmonic instability and wave breaking in Whitham equations. Physics of Fluids 2023 ;Volum 35.(10) s. -UiB
3. Holand, Karoline; Kalisch, Henrik; Bjørnestad, Maria; Michael, Streßer; Buckley, Marc; Horstmann, Jochen; Roeber, Volker; Carrasco-Alvarez, Ruben; Cysewski, Marius; Frøysa, Hege Guldbrandsen. Identification of wave breaking from nearshore wave-by-wave records. Physics of Fluids 2023 ;Volum 35.(9) s. -UiB MET
4. Hussien Elkhorbatly, Bashar; Kalisch, Henrik. Rigorous estimates on mechanical balance laws in the Boussinesq–Peregrine equations. Studies in applied mathematics (Cambridge) 2023 s. -UiB
5. Ige, Olufemi Elijah; Kalisch, Henrik. Particle trajectories in a weakly nonlinear long-wave model on a shear flow. Applied Numerical Mathematics 2023 s. -UiB
Irina Markina
2023
1. Franchi, Bruno; Markina, Irina. Exceptional families of measures on Carnot groups. Analysis and Geometry in Metric Spaces 2023 ;Volum 11.(1) s. -UiB
2. Grong, Erlend; Markina, Irina. Harmonic maps into sub-Riemannian Lie groups. Communications in analysis and mechanics 2023 ;Volum 15.(3) s. 515-532UiB
3. Jurdjevic, V.; Markina, Irina; Silva Leite, Leite. Symmetric Spaces Rolling on Flat Spaces. Journal of Geometric Analysis 2023 ;Volum 33.(3) s. -UiB
4. Schlarb, Markus; Hüper, Knut; Markina, Irina; Silva Leite, Fátima. Rolling Stiefel Manifolds Equipped with α-Metrics. Mathematics 2023 ;Volum 11.(21) s. -UiB
2022
5. Hervik, Sigbjørn; Kruglikov, Boris; Markina, Irina; The, Dennis. Geometry, Lie Theory and Applications: The Abel Symposium 2019. Springer 2022 (ISBN 978-3-030-81295-9) 330 s. Abel Symposia(16)UiT UiB UIS
Hans Z. Munthe-Kaas
2023
1. Laurent, Adrien Ange Andre; Mclachlan, Robert I.; Munthe-Kaas, Hans Zanna; Verdier, Olivier Philippe Paul. The aromatic bicomplex for the description of divergence-free aromatic forms and volume-preserving integrators. Forum of Mathematics, Sigma 2023 ;Volum 11. s. -UiB UiT HVL
2021
2. Cohen, Albert; Dahmen, Wolfgang; Munthe-Kaas, Hans Zanna; Sombra, Martín; Szanto, Agnes. Correction to: Preface (Foundations of Computational Mathematics, (2019), 19, 5, (963-964), 10.1007/s10208-019-09434-y). Foundations of Computational Mathematics 2021 s. -UiB
3. Fløystad, Gunnar; Munthe-Kaas, Hans; Manchon, Dominique. The universal pre-Lie Rinehart algebras of aromatic trees. Springer Proceedings in Mathematics & Statistics 2021 ;Volum 366. s. 157-159UiB
2020
4. Curry, Charles Henry Alexander; Ebrahimi-Fard, Kurusch; Manchon, Dominique; Munthe-Kaas, Hans Zanna. Planarly branched rough paths and rough differential equations on homogeneous spaces. Journal of Differential Equations 2020 ;Volum 269.(11) s. 9740-9782NTNU UiB
5. Munthe-Kaas, Hans Zanna; Stern, Ari; Verdier, Olivier. Invariant connections, Lie algebra actions, and foundations of numerical integration on manifolds. SIAM Journal on applied algebra and geometry 2020 ;Volum 4.(1) s. 49-68HVL UiB
Didier Pilod
2023
1. Linares, Felipe; Mendez, Argenis J.; Pilod, Didier Jacques Francois. Well-Posedness for the Extended Schrödinger–Benjamin–Ono System. Vietnam Journal of Mathematics 2023 s. -UiB
2. Mosincat, Razvan-Octavian; Pilod, Didier Jacques Francois. Unconditional uniqueness for the Benjamin-Ono equation. Pure and Applied Analysis 2023 ;Volum 5.(2) s. 285-322UiB
2021
3. Mosincat, Razvan-Octavian; Pilod, Didier Jacques Francois; Saut, Jean-Claude. Global well-posedness and scattering for the Dysthe equation in L2(R2). Journal des Mathématiques Pures et Appliquées 2021 ;Volum 149. s. 73-97UiB
4. Selberg, Sigmund; Pilod, Didier Jacques Francois; Saut, Jean-Claude; Temesgen, Achenef Tesfahun. Dispersive Estimates for Full Dispersion KP Equations. Journal of Mathematical Fluid Mechanics 2021 ;Volum 23.(25)UiB
2020
5. Kenig, C.E.; Pilod, Didier Jacques Francois; Ponce, G.; Vega, L.. On the unique continuation of solutions to non-local non-linear dispersive equations. Communications in Partial Differential Equations 2020 ;Volum 45.(8) s. 872-886UiB
Sigmund Selberg
2021
1. Selberg, Sigmund; Pilod, Didier Jacques Francois; Saut, Jean-Claude; Temesgen, Achenef Tesfahun. Dispersive Estimates for Full Dispersion KP Equations. Journal of Mathematical Fluid Mechanics 2021 ;Volum 23.(25)UiB
2. Temesgen, Achenef Tesfahun; Selberg, Sigmund. Ill-posedness of the Maxwell–Dirac system below charge in space dimension three and lower. NoDEA. Nonlinear differential equations and applications (Printed ed.) 2021 (42)UiB
2020
3. Dinvay, Evgueni; Selberg, Sigmund; Tesfahun, Achenef. Well-Posedness for a Dispersive System of the Whitham--Boussinesq Type. SIAM Journal on Mathematical Analysis 2020 ;Volum 52.(3) s. 2353-2382UiB
4. Selberg, Sigmund; Temesgen, Achenef Tesfahun. Ill-posedness of the Thirring model below the critical regularity. Journal of Mathematical Physics 2020 ;Volum 61.(7) s. -UiB
2019
5. Selberg, Sigmund. On the radius of spatial analyticity for solutions of the Dirac–Klein–Gordon equations in two space dimensions. Annales de l'Institut Henri Poincare. Analyse non linéar 2019 ;Volum 36.(5) s. 1311-1330UiB
Temporary members
Sylvie Vega-Molino
2022
1. Baudoin, Fabrice; Grong, Erlend; Rizzi, Luca; Vega-Molino, Gianmarco. H-type foliations. Differential geometry and its applications 2022 ;Volum 85:101952.UiB
2. Baudoin, Fabrice; Grong, Erlend; Vega-Molino, Gianmarco. A horizontal Chern–Gauss–Bonnet formula on totally geodesic foliations. Annals of Global Analysis and Geometry 2022 ;Volum 61. s. 759-776UiB
Francesco Ballerin
Geometry of the Visual Cortex with Applications to Image Inpainting and Enhancement
F. Ballerin, E. Grong
https://arxiv.org/abs/2308.07652
2023
Sub-Riemannian geometry and its applications to Image Processing
F. Ballerin
https://hdl.handle.net/11250/2997577
2022
René Langøen
Master thesis: The direct monodromy problem and isomonodromic deformations for the Rabi model. https://hdl.handle.net/11250/3000796
Preprints: Langøen, René; Markina, Irina; Alexander Yu., Solynin (2024): "Stokes graphs of the Rabi problem with real parameters" on arXiv.
Martin Oen Paulsen
Preprints:
Paulsen, Martin Oen (2023) Justification of the Benjamin-Ono equation as an internal water waves model.
Emerald, Louis and Paulsen, Martin Oen (2023) Rigorous derivation of weakly dispersive shallow water models with large amplitude topography variations.
Emerald, Louis and Paulsen, Martin Oen (2023) The long time well-posedness and full justification of a Whitham-Green-Naghdi system.
Publications:
Paulsen, Martin Oen. (2022). Long time well-posedness of Whitham-Boussinesq systems. Nonlinearity. 6284-6348.
Paulsen, Martin Oen; Kalisch, Henrik. (2021). A Nonlinear Formulation of Radiation Stress and Applications to Cnoidal Shoaling. Water Waves.
Paulsen, Martin Oen; Kalisch, Henrik. (2020). Admissibility conditions for Riemann data in shallow water theory. Zeitschrift fur Naturforschung A-A Journal of Physical Sciences. 637-648.
Jonathan Stava
Munthe-Kaas, Hans and Stava, Jonatan (2023): "Lie Admissible Triple Algebras: The Connection Algebra of Symmetric Spaces", arXiv-link: https://arxiv.org/abs/2306.15582
Stava, Jonatan (2023): "The Connection Algebra of Reductive Homogeneous Spaces", arXiv-link: https://arxiv.org/abs/2310.08310
Master thesis: Cartan Connection in Sub-Riemannian Geometry