Sondre Tesdal Galtung
About
My research interests are mainly related to partial differential equations and numerical methods. They comprise, but are not limited to:
- Equations appearing in fluid dynamics.
- Hyperbolic conservation laws.
- Particle systems.
- Applications of calculus of variations and optimal control in mathematical modeling.
Publications
Preprints:
J. A. Carrillo; S. T. Galtung (2023) Equivalence of entropy solutions and gradient flows for pressureless 1D Euler systems. arXiv
2025
-
Galtung, Sondre Tesdal.
(2025)
The Sticky Particle Dynamics of the 1D Pressureless Euler-Alignment System as a Gradient Flow.
Applied Mathematics and Optimization
Academic article
2023
-
Ben-Porat, Immanuel;
Carrillo, José A.;
Galtung, Sondre Tesdal.
(2023)
Mean field limit for one dimensional opinion dynamics with Coulomb interaction and time dependent weights.
Nonlinear Analysis
Academic article
2022
-
Bressan, Alberto;
Galtung, Sondre Tesdal;
Grunert, Katrin;
Nguyen, Khai Tien.
(2022)
Shock interactions for the Burgers-Hilbert equation.
Communications in Partial Differential Equations
Academic article
-
Bressan, Alberto;
Galtung, Sondre Tesdal;
Sun, Qing.
(2022)
Optimal shapes for tree roots.
SIAM Journal on Mathematical Analysis
Academic article
-
Galtung, Sondre Tesdal;
Grunert, Katrin.
(2022)
Stumpons are non-conservative traveling waves of the Camassa–Holm equation.
Physica D : Non-linear phenomena
Academic article
2021
-
Galtung, Sondre Tesdal;
Grunert, Katrin.
(2021)
A numerical study of variational discretizations of the Camassa–Holm equation.
BIT Numerical Mathematics
Academic article
-
Galtung, Sondre Tesdal;
Raynaud, Xavier.
(2021)
A semi-discrete scheme derived from variational principles for global conservative solutions of a Camassa–Holm system.
Nonlinearity
Academic article
2020
-
Bressan, Alberto;
Galtung, Sondre Tesdal;
Reigstad, Audun;
Ridder, Johanna.
(2020)
Competition models for plant stems.
Journal of Differential Equations
Academic article
-
Bressan, Alberto;
Galtung, Sondre Tesdal.
(2020)
A 2-dimensional shape optimization problem for tree branches.
Networks and Heterogeneous Media
Academic article
2018
-
Galtung, Sondre Tesdal.
(2018)
Convergence Rates of a Fully Discrete Galerkin Scheme for the Benjamin–Ono Equation.
Springer Nature
Academic chapter/article/Conference paper
-
Galtung, Sondre Tesdal.
(2018)
A Convergent Crank–Nicolson Galerkin Scheme for the Benjamin–Ono Equation.
Discrete and Continuous Dynamical Systems. Series A
Academic article
2016
-
Oosterkamp, Antonie;
Ytrehus, Tor;
Galtung, Sondre Tesdal.
(2016)
Effect of the choice of boundary conditions on modelling ambient to soil heat transfer near a buried pipeline.
Applied Thermal Engineering
Academic article
Journal publications
-
Galtung, Sondre Tesdal.
(2025)
The Sticky Particle Dynamics of the 1D Pressureless Euler-Alignment System as a Gradient Flow.
Applied Mathematics and Optimization
Academic article
-
Ben-Porat, Immanuel;
Carrillo, José A.;
Galtung, Sondre Tesdal.
(2023)
Mean field limit for one dimensional opinion dynamics with Coulomb interaction and time dependent weights.
Nonlinear Analysis
Academic article
-
Bressan, Alberto;
Galtung, Sondre Tesdal;
Grunert, Katrin;
Nguyen, Khai Tien.
(2022)
Shock interactions for the Burgers-Hilbert equation.
Communications in Partial Differential Equations
Academic article
-
Bressan, Alberto;
Galtung, Sondre Tesdal;
Sun, Qing.
(2022)
Optimal shapes for tree roots.
SIAM Journal on Mathematical Analysis
Academic article
-
Galtung, Sondre Tesdal;
Grunert, Katrin.
(2022)
Stumpons are non-conservative traveling waves of the Camassa–Holm equation.
Physica D : Non-linear phenomena
Academic article
-
Galtung, Sondre Tesdal;
Grunert, Katrin.
(2021)
A numerical study of variational discretizations of the Camassa–Holm equation.
BIT Numerical Mathematics
Academic article
-
Galtung, Sondre Tesdal;
Raynaud, Xavier.
(2021)
A semi-discrete scheme derived from variational principles for global conservative solutions of a Camassa–Holm system.
Nonlinearity
Academic article
-
Bressan, Alberto;
Galtung, Sondre Tesdal;
Reigstad, Audun;
Ridder, Johanna.
(2020)
Competition models for plant stems.
Journal of Differential Equations
Academic article
-
Bressan, Alberto;
Galtung, Sondre Tesdal.
(2020)
A 2-dimensional shape optimization problem for tree branches.
Networks and Heterogeneous Media
Academic article
-
Galtung, Sondre Tesdal.
(2018)
A Convergent Crank–Nicolson Galerkin Scheme for the Benjamin–Ono Equation.
Discrete and Continuous Dynamical Systems. Series A
Academic article
-
Oosterkamp, Antonie;
Ytrehus, Tor;
Galtung, Sondre Tesdal.
(2016)
Effect of the choice of boundary conditions on modelling ambient to soil heat transfer near a buried pipeline.
Applied Thermal Engineering
Academic article
Part of book/report
-
Galtung, Sondre Tesdal.
(2018)
Convergence Rates of a Fully Discrete Galerkin Scheme for the Benjamin–Ono Equation.
Springer Nature
Academic chapter/article/Conference paper
Teaching
Courses
I will teach the numerical mathematics part of INGT1002 autumn 2024.
Outreach
2024
-
Academic lectureGaltung, Sondre Tesdal. (2024) Equivalence of entropy solutions and gradient flows for the 1D pressureless Euler-Poisson system. Shanghai Jiao Tong University The 19th International Conference on Hyperbolic Problems (HYP2024) , Shanghai 2024-07-01 - 2024-07-05
-
Academic lectureGaltung, Sondre Tesdal. (2024) A variational discretization of the Camassa–Holm equation and a non-conservative traveling wave. Florida International University Applied Math Seminar , Online / Miami, FL 2024-02-16 -
-
Academic lectureGaltung, Sondre Tesdal. (2024) Equivalence of entropy solutions and gradient flows for the 1D pressureless Euler-Poisson system. Universitetet i Oslo Norwegian meeting on PDEs 2024 , Oslo 2024-06-05 - 2024-06-07
-
Academic lectureGaltung, Sondre Tesdal. (2024) Equivalence of entropy solutions and gradient flows for the 1D pressureless Euler–Poisson system. DNA-gruppa, Institutt for matematiske fag, NTNU DNA seminar 2024-04-29 - 2024-04-29
-
Academic lectureGaltung, Sondre Tesdal. (2024) The Cucker–Smale and Euler-alignment models: sticky particles and subgradient flows. DNA-gruppa, Institutt for matematiske fag, NTNU DNA seminar 2024-10-14 - 2024-10-14
2023
-
Academic lectureGaltung, Sondre Tesdal. (2023) A variational discretization of the Camassa–Holm equation, and a non-conservative traveling wave. Linköpings Universitet Matematiska kollokviet , Linköping 2023-11-01 - 2023-11-01
-
Academic lectureGaltung, Sondre Tesdal. (2023) A variational discretization of the Camassa–Holm equation, and a non-conservative, energy preserving solution. Gui-Qiang Chens forskningsgruppe, University of Oxford Forskningsgruppeseminar , Oxford 2023-01-19 - 2023-01-19
-
Academic lectureGaltung, Sondre Tesdal. (2023) The mean field limit for 1D opinion dynamics through front tracking approximations. Inria Numerical methods for hyperbolic problems – numhyp23 , Bordeaux 2023-06-26 - 2023-06-30
-
Academic lectureGaltung, Sondre Tesdal. (2023) A variational discretization of the Camassa–Holm equation vs. the stumpon. Order and Randomness in Partial Differential Equations , Institut Mittag-Leffler 2023-11-07 - 2023-11-07
2022
-
Academic lectureGaltung, Sondre Tesdal. (2022) A variational discretization of the Camassa–Holm equation, and a non-conservative, energy-preserving solution. José Carrillos forskningsgruppe, University of Oxford Forskningsgruppeseminar , Oxford 2022-11-09 - 2022-11-09
-
PosterGaltung, Sondre Tesdal. (2022) Stumpons are non-conservative traveling waves of the Camassa–Holm equation. Universitetet i Bergen 2nd Norwegian meeting on PDEs , Bergen 2022-06-08 - 2022-06-10
-
Academic lectureGaltung, Sondre Tesdal. (2022) Some models for biological shape growth. Aalto University 28th Nordic Congress of Mathematics , Espoo 2022-08-18 - 2022-08-21
-
Academic lectureGaltung, Sondre Tesdal. (2022) Stumpons are non-conservative traveling waves of the Camassa-Holm equation. Universidad de Malaga XVIII International Conference on Hyperbolic Problems Theory, Numerics, Applications , Malaga 2022-06-20 - 2022-06-24
2020
-
Academic lectureGaltung, Sondre Tesdal. (2020) A semi-discrete Camassa–Holm system based on variational principles. DNA-gruppa, Institutt for matematiske fag, NTNU DNA seminar , Trondheim 2020-09-16 - 2020-09-16
2018
-
Academic lectureGaltung, Sondre Tesdal. (2018) A Discrete Lagrangian Scheme for the Two-component Camassa–Holm System. Penn State University XVII International Conference on Hyperbolic Problems Theory, Numerics, Applications , State College, PA 2018-06-25 - 2018-06-29
2017
-
Academic lectureGaltung, Sondre Tesdal. (2017) A convergent Crank–Nicolson Galerkin scheme for the Benjamin–Ono equation. Chalmers tekniska högskola SDE school , Göteborg 2017-03-07 - 2017-03-10
-
PosterGaltung, Sondre Tesdal. (2017) A Discrete Scheme for Solving the Benjamin–Ono Equation. Heidelberg Laureate Forum Foundation Heidelberg Laureate Forum , Heidelberg 2017-09-24 - 2017-09-29
2016
-
Academic lectureGaltung, Sondre Tesdal. (2016) A Convergent Crank–Nicolson Type Galerkin Scheme for the Benjamin–Ono Equation. RWTH Aachen XVI International Conference on Hyperbolic Problems Theory, Numerics, Applications , Aachen 2016-08-01 - 2016-08-05