On a class of generalised solutions to the kinetic Hookean dumbbell model for incompressible dilute polymeric fluids: existence and macroscopic closure (with E. Süli), arXiv
A Degenerate Cross-Diffusion System as the Inviscid Limit of a Nonlocal Tissue Growth Model (with N. David, M. Mandal and M. Schmidtchen), arXiv
On entropy conservation for general systems of conservation laws, arXiv
A tribute to energy conservation for weak solutions (with P. Gwiazda and A. Œwierczewska-Gwiazda), arXiv
Journal publications
Dissipative measure-valued solutions to the Euler-Poisson equation (with J. A. Carrillo, P. Gwiazda and A. Œwierczewska-Gwiazda), SIAM Journal on Mathematical Analysis, accepted, arXiv
A General Convex Integration Scheme for the Isentropic Compressible Euler Equations (with J. Skipper and E. Wiedemann), Journal of Hyperbolic Differential Equations , 20(1):95-117, 2023, JHDE
Corotational Hookean Models of Dilute Polymeric Fluids: Existence of Global Weak Solutions, Weak-Strong Uniqueness, Equilibration and Macroscopic Closure (with E. Süli), SIAM Journal on Mathematical Analysis , 55(1):310-346, 2023, SIMA
Convergence rate for the incompressible limit of nonlinear diffusion-advection equations (with N.David and B. Perthame), Annales de l'Institut Henri Poincaré C, Analyse Non Linéaire , 40(3):511-529, 2023, AIHPC
Incompressible limit for a two-species tumour model with coupling through Brinkman’s law in any dimension (with B. Perthame, M. Schmidtchen and N. Vauchelet), Journal de Mathématiques Pures et Appliquées 145:204-239, 2021, JMPA
Incompressible limit for a two-species tumour model with coupling through Brinkman’s law in one dimension (with M. Schmidtchen), Acta Applicandae Mathematicae 169(1):593-611, 2020, AAM
Energy Conservation for the Compressible Euler and Navier-Stokes Equations with Vacuum (with I. Akramov, J. Skipper and E. Wiedemann), Analysis & PDE 13(3):789–811, 2020, APDE
Relative Entropy Method for Measure Solutions of the Growth-Fragmentation Equation (with M. Doumic, P. Gwiazda and E. Wiedemann), SIAM Journal on Mathematical Analysis 50(6):5811-5824, 2018, SIMA
Conservation of energy for the Euler-Korteweg equations (with P. Gwiazda, A. Œwierczewska-Gwiazda and A. Tzavaras), Calculus of Variations and Partial Differential Equations 57, Art. 160, 2018, CVPDE
Relative entropy method for measure-valued solutions in natural sciences (with P. Gwiazda, K. £yczek and A. Œwierczewska-Gwiazda), Topological Methods in Nonlinear Analysis 52(1):311-335, 2018, TMNA