Publications

Tomasz Dębiec

2025

• Tomasz Dębiec , Mainak Mandal, Markus Schmidtchen, From finite to continuous phenotypes in (visco-)elastic tissue growth models, Journal of Differential Equations, 437 2025, p. 113375. See in PBN
• Tomasz Dębiec , Markus Schmidtchen, Nonlocal approximation of an anisotropic cross-diffusion system, Nonlinear Analysis, Theory, Methods and Applications, 260 2025, p. 113835: 1-13. See in PBN
• Tomasz Dębiec , Endre Süli, On a Class of Generalised Solutions to the Kinetic Hookean Dumbbell Model for Incompressible Dilute Polymeric Fluids: Existence and Macroscopic Closure, Archive for Rational Mechanics and Analysis, 249 (4) 2025, p. 1-54. See in PBN

2024

• Noemi David, Tomasz Dębiec , Mainak Mandal, Markus Schmidtchen, A Degenerate Cross-Diffusion System as the Inviscid Limit of a Nonlocal Tissue Growth Model, SIAM Journal on Mathematical Analysis, 56 (2) 2024, p. 2090-2114. See in PBN
• José A. Carrillo, Tomasz Dębiec , Piotr Gwiazda , Agnieszka Świerczewska-Gwiazda , Dissipative Measure-Valued Solutions to the Euler–Poisson Equation, SIAM Journal on Mathematical Analysis, 56 (1) 2024, p. 304-335. See in PBN

2023

• Tomasz Dębiec , Jack Skipper, Emil Wiedemann, A general convex integration scheme for the isentropic compressible Euler equations, Journal of Hyperbolic Differential Equations, 20 (1) 2023, p. 95-117. See in PBN
• Tomasz Dębiec , Endre Süli, Corotational Hookean Models of Dilute Polymeric Fluids: Existence of Global Weak Solutions, Weak-Strong Uniqueness, Equilibration, and Macroscopic Closure, SIAM Journal on Mathematical Analysis, 55 (1) 2023, p. 310-346. See in PBN

2022

• Noemi David, Tomasz Dębiec , Benoît Perthame, Convergence rate for the incompressible limit of nonlinear diffusion–advection equations, Annales de l'Institut Henri Poincare. Annales: Analyse Non Lineaire/Nonlinear Analysis, 2022. See in PBN

2021

• Tomasz Dębiec , Benoît Perthame, Markus Schmidtchen, Nicolas Vauchelet, Incompressible limit for a two-species model with coupling through Brinkman's law in any dimension, Journal des Mathematiques Pures et Appliquees, 145 2021, p. 204-239. See in PBN

2020

• Ibrokhimbek Akramov, Tomasz Dębiec , Jack Skipper, Emil Wiedemann, Energy conservation for the compressible Euler and Navier–Stokes equations with vacuum, Analysis and PDE, 13 (3) 2020, p. 789-811. See in PBN
• Tomasz Dębiec , Markus Schmidtchen, Incompressible Limit for a Two-Species Tumour Model with Coupling Through Brinkman’s Law in One Dimension, Acta Applicandae Mathematicae, 169 (1) 2020, p. 593-611. See in PBN

2018

• Tomasz Dębiec , Piotr Gwiazda , Agnieszka Świerczewska-Gwiazda , Athanasios Tzavaras, Conservation of energy for the Euler--Korteweg equations, Calculus of Variations and Partial Differential Equations, 57 (6) 2018, p. 160: 1-12. See in PBN
• Tomasz Dębiec , Marie Doumic, Piotr Gwiazda , Emil Wiedemann, Relative Entropy Method for Measure Solutions of the Growth-Fragmentation Equation, SIAM Journal on Mathematical Analysis, 50 (6) 2018, p. 5811-5824. See in PBN
• Tomasz Dębiec , Piotr Gwiazda , Agnieszka Świerczewska-Gwiazda , Kamila Łyczek, Relative entropy method for measure-valued solutions in natural sciences, Topological Methods in Nonlinear Analysis, 52 (1) 2018, p. 311-335. See in PBN