Recent publications of the Analysis and PDE group

Personal webpage

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

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

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

Personal webpage

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

Personal webpage

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  

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  

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

Personal webpage

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

Master thesis: The direct monodromy problem and isomonodromic deformations for the Rabi model. 

Langoen, R., Markina, I. & Solynin, A.Y. Stokes Graphs of the Rabi Problem with Real Parameters. J Math Sci (2024).

Personal webpage

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.

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