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Analysis and PDE
Latest 5 publications of researchers in the group of Analysis and PDE

Recent publications of the Analysis and PDE group

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Permanent members

Erlend Grong

2023

.ÌýGrong, Erlend; Markina, Irina.ÌýHarmonic maps into sub-Riemannian Lie groups.ÌýCommunications in analysis and mechanicsÌý2023 ;Volum 15.(3) s. 515-532ÐÒÔË·Éͧ¼Æ»®ÌýÌý

2022

.ÌýBaudoin, Fabrice; Grong, Erlend; Rizzi, Luca; Vega-Molino, Gianmarco.ÌýH-type foliations.ÌýDifferential geometry and its applicationsÌý2022 ;Volum 85:101952.ÐÒÔË·Éͧ¼Æ»®ÌýÌý

.ÌýBaudoin, Fabrice; Grong, Erlend; Vega-Molino, Gianmarco.ÌýA horizontal Chern–Gauss–Bonnet formula on totally geodesic foliations.ÌýAnnals of Global Analysis and GeometryÌý2022 ;Volum 61. s. 759-776ÐÒÔË·Éͧ¼Æ»®ÌýÌý

.ÌýGrong, Erlend.ÌýCurvature and the equivalence problem in sub-Riemannian geometry.ÌýArchivum mathematicumÌý2022 ;Volum 58.(5) s. 295-327ÐÒÔË·Éͧ¼Æ»®ÌýÌý

.ÌýGrong, Erlend; Nilssen, Torstein; Schmeding, Alexander.ÌýGeometric rough paths on infinite dimensional spaces.ÌýJournal of Differential EquationsÌý2022 ;Volum 340. s. 151-178UIA NORD ÐÒÔË·Éͧ¼Æ»®

Henrick Kalisch

2024

.ÌýHussien Elkhorbatly, Bashar; Kalisch, Henrik; Israwi, Samer.ÌýConvergence of mechanical balance laws for water waves: from KdV to Euler.ÌýNonlinearityÌý2024 ;Volum 37.(2) s. -ÐÒÔË·Éͧ¼Æ»®ÌýÌý

2023

.ÌýCarter, John D.; Francius, Marc; Kharif, Christian; Kalisch, Henrik; Abid, Malek.ÌýThe superharmonic instability and wave breaking in Whitham equations.ÌýPhysics of FluidsÌý2023 ;Volum 35.(10) s. -ÐÒÔË·Éͧ¼Æ»®ÌýÌý

.ÌýHoland, Karoline; Kalisch, Henrik; Bjørnestad, Maria; Michael, Streßer; Buckley, Marc; Horstmann, Jochen; Roeber, Volker; Carrasco-Alvarez, Ruben; Cysewski, Marius; Frøysa, Hege Guldbrandsen.ÌýIdentification of wave breaking from nearshore wave-by-wave records.ÌýPhysics of FluidsÌý2023 ;Volum 35.(9) s. -ÐÒÔË·Éͧ¼Æ»® METÌýÌý

.ÌýHussien Elkhorbatly, Bashar; Kalisch, Henrik.ÌýRigorous estimates on mechanical balance laws in the Boussinesq–Peregrine equations.ÌýStudies in applied mathematics (Cambridge)Ìý2023 s. -ÐÒÔË·Éͧ¼Æ»®ÌýÌý

.ÌýIge, Olufemi Elijah; Kalisch, Henrik.ÌýParticle trajectories in a weakly nonlinear long-wave model on a shear flow.ÌýApplied Numerical MathematicsÌý2023 s. -ÐÒÔË·Éͧ¼Æ»®

Irina Markina

2023

.ÌýFranchi, Bruno; Markina, Irina.ÌýExceptional families of measures on Carnot groups.ÌýAnalysis and Geometry in Metric SpacesÌý2023 ;Volum 11.(1) s. -ÐÒÔË·Éͧ¼Æ»®ÌýÌý

.ÌýGrong, Erlend; Markina, Irina.ÌýHarmonic maps into sub-Riemannian Lie groups.ÌýCommunications in analysis and mechanicsÌý2023 ;Volum 15.(3) s. 515-532ÐÒÔË·Éͧ¼Æ»®ÌýÌý

.ÌýJurdjevic, V.; Markina, Irina; Silva Leite, Leite.ÌýSymmetric Spaces Rolling on Flat Spaces.ÌýJournal of Geometric AnalysisÌý2023 ;Volum 33.(3) s. -ÐÒÔË·Éͧ¼Æ»®ÌýÌý

.ÌýSchlarb, Markus; Hüper, Knut; Markina, Irina; Silva Leite, Fátima.ÌýRolling Stiefel Manifolds Equipped with α-Metrics.ÌýMathematicsÌý2023 ;Volum 11.(21) s. -ÐÒÔË·Éͧ¼Æ»®ÌýÌý

2022

.ÌýHervik, Sigbjørn; Kruglikov, Boris; Markina, Irina; The, Dennis.ÌýGeometry, Lie Theory and Applications: The Abel Symposium 2019. Springer 2022 (ISBN 978-3-030-81295-9) 330 s. Abel Symposia(16)UiT ÐÒÔË·Éͧ¼Æ»® UIS

Hans Z. Munthe-Kaas

2023

.ÌýLaurent, Adrien Ange Andre; Mclachlan, Robert I.; Munthe-Kaas, Hans Zanna; Verdier, Olivier Philippe Paul.ÌýThe aromatic bicomplex for the description of divergence-free aromatic forms and volume-preserving integrators.ÌýForum of Mathematics, SigmaÌý2023 ;Volum 11. s. -ÐÒÔË·Éͧ¼Æ»® UiT HVLÌýÌý

2021

.ÌýCohen, Albert; Dahmen, Wolfgang; Munthe-Kaas, Hans Zanna; Sombra, Martín; Szanto, Agnes.ÌýCorrection to: Preface (Foundations of Computational Mathematics, (2019), 19, 5, (963-964), 10.1007/s10208-019-09434-y).ÌýFoundations of Computational MathematicsÌý2021 s. -ÐÒÔË·Éͧ¼Æ»®ÌýÌý

.ÌýFløystad, Gunnar; Munthe-Kaas, Hans; Manchon, Dominique.ÌýThe universal pre-Lie Rinehart algebras of aromatic trees.ÌýSpringer Proceedings in Mathematics & StatisticsÌý2021 ;Volum 366. s. 157-159ÐÒÔË·Éͧ¼Æ»®ÌýÌý

2020

.ÌýCurry, Charles Henry Alexander; Ebrahimi-Fard, Kurusch; Manchon, Dominique; Munthe-Kaas, Hans Zanna.ÌýPlanarly branched rough paths and rough differential equations on homogeneous spaces.ÌýJournal of Differential EquationsÌý2020 ;Volum 269.(11) s. 9740-9782NTNU ÐÒÔË·Éͧ¼Æ»®ÌýÌý

.ÌýMunthe-Kaas, Hans Zanna; Stern, Ari; Verdier, Olivier.ÌýInvariant connections, Lie algebra actions, and foundations of numerical integration on manifolds.ÌýSIAM Journal on applied algebra and geometryÌý2020 ;Volum 4.(1) s. 49-68HVL ÐÒÔË·Éͧ¼Æ»®

Didier Pilod

2023

.ÌýLinares, Felipe; Mendez, Argenis J.; Pilod, Didier Jacques Francois.ÌýWell-Posedness for the Extended Schrödinger–Benjamin–Ono System.ÌýVietnam Journal of MathematicsÌý2023 s. -ÐÒÔË·Éͧ¼Æ»®ÌýÌý

.ÌýMosincat, Razvan-Octavian; Pilod, Didier Jacques Francois.ÌýUnconditional uniqueness for the Benjamin-Ono equation.ÌýPure and Applied AnalysisÌý2023 ;Volum 5.(2) s. 285-322ÐÒÔË·Éͧ¼Æ»®ÌýÌý

2021

.ÌýMosincat, Razvan-Octavian; Pilod, Didier Jacques Francois; Saut, Jean-Claude.ÌýGlobal well-posedness and scattering for the Dysthe equation in L2(R2).ÌýJournal des Mathématiques Pures et AppliquéesÌý2021 ;Volum 149. s. 73-97ÐÒÔË·Éͧ¼Æ»®ÌýÌý

.ÌýSelberg, Sigmund; Pilod, Didier Jacques Francois; Saut, Jean-Claude; Temesgen, Achenef Tesfahun.ÌýDispersive Estimates for Full Dispersion KP Equations.ÌýJournal of Mathematical Fluid MechanicsÌý2021 ;Volum 23.(25)ÐÒÔË·Éͧ¼Æ»®ÌýÌý

2020

.ÌýKenig, C.E.; Pilod, Didier Jacques Francois; Ponce, G.; Vega, L..ÌýOn the unique continuation of solutions to non-local non-linear dispersive equations.ÌýCommunications in Partial Differential EquationsÌý2020 ;Volum 45.(8) s. 872-886ÐÒÔË·Éͧ¼Æ»®ÌýÌý

Sigmund Selberg

2021

.ÌýSelberg, Sigmund; Pilod, Didier Jacques Francois; Saut, Jean-Claude; Temesgen, Achenef Tesfahun.ÌýDispersive Estimates for Full Dispersion KP Equations.ÌýJournal of Mathematical Fluid MechanicsÌý2021 ;Volum 23.(25)ÐÒÔË·Éͧ¼Æ»®ÌýÌý

.ÌýTemesgen, Achenef Tesfahun; Selberg, Sigmund.ÌýIll-posedness of the Maxwell–Dirac system below charge in space dimension three and lower.ÌýNoDEA. Nonlinear differential equations and applications (Printed ed.)Ìý2021 (42)ÐÒÔË·Éͧ¼Æ»®ÌýÌý

2020

.ÌýDinvay, Evgueni; Selberg, Sigmund; Tesfahun, Achenef.ÌýWell-Posedness for a Dispersive System of the Whitham--Boussinesq Type.ÌýSIAM Journal on Mathematical AnalysisÌý2020 ;Volum 52.(3) s. 2353-2382ÐÒÔË·Éͧ¼Æ»®ÌýÌý

.ÌýSelberg, Sigmund; Temesgen, Achenef Tesfahun.ÌýIll-posedness of the Thirring model below the critical regularity.ÌýJournal of Mathematical PhysicsÌý2020 ;Volum 61.(7) s. -ÐÒÔË·Éͧ¼Æ»®ÌýÌý

2019

.ÌýSelberg, Sigmund.ÌýOn the radius of spatial analyticity for solutions of the Dirac–Klein–Gordon equations in two space dimensions.ÌýAnnales de l'Institut Henri Poincare. Analyse non linéarÌý2019 ;Volum 36.(5) s. 1311-1330ÐÒÔË·Éͧ¼Æ»®ÌýÌý

Ìý

Temporary members

Sylvie Vega-Molino

2022

.ÌýBaudoin, Fabrice; Grong, Erlend; Rizzi, Luca; Vega-Molino, Gianmarco.ÌýH-type foliations.ÌýDifferential geometry and its applicationsÌý2022 ;Volum 85:101952.ÐÒÔË·Éͧ¼Æ»®ÌýÌý

.ÌýBaudoin, Fabrice; Grong, Erlend; Vega-Molino, Gianmarco.ÌýA horizontal Chern–Gauss–Bonnet formula on totally geodesic foliations.ÌýAnnals of Global Analysis and GeometryÌý2022 ;Volum 61. s. 759-776ÐÒÔË·Éͧ¼Æ»®

Francesco Ballerin

Geometry of the Visual Cortex with Applications to Image Inpainting and Enhancement

F. Ballerin, E. Grong

2023

Sub-Riemannian geometry and its applications to Image Processing

F. Ballerin

2022

René Langøen

Ìý

Martin Oen Paulsen

Preprints:

  • Paulsen, Martin Oen (2023)Ìý.

  • Emerald, Louis andÌýPaulsen, Martin Oen (2023)Ìý.Ìý

  • Emerald, Louis and Paulsen, Martin Oen (2023)Ìý.Ìý

Publications:

  • Paulsen, Martin Oen. (2022).Ìý.ÌýNonlinearity.Ìý6284-6348.

  • Paulsen, Martin Oen; Kalisch, Henrik. (2021).Ìý.ÌýWater Waves.

  • Paulsen, Martin Oen; Kalisch, Henrik. (2020).Ìý.ÌýZeitschrift fur Naturforschung A-A Journal of Physical Sciences.Ìý637-648.

Jonathan Stava

Munthe-Kaas, Hans and Stava, Jonatan (2023): "Lie Admissible Triple Algebras: The Connection Algebra of Symmetric Spaces", arXiv-link:

Stava, Jonatan (2023): "The Connection Algebra of Reductive Homogeneous Spaces", arXiv-link:

Master thesis:Ìý