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The Ostrovsky–Hunter equation with a space dependent flux function
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The Riemann problem for a generalised Burgers equation with spatially decaying sound speed. II General qualitative theory and numerical analysis
Including population and environmental dynamic heterogeneities in continuum models of collective behaviour with applications to locust foraging and group structure
Fillipe Georgiou, Camille Buhl, J. E. F. Green, Bishnu Lamichhane, Ngamta Thamwattana and Ricardo Martinez-Garcia PLOS Computational Biology 21(4) e1011469 (2025) https://doi.org/10.1371/journal.pcbi.1011469
Well-posedness and error estimates for coupled systems of nonlocal conservation laws
A difference scheme for a triangular system of conservation laws with discontinuous flux modeling three-phase flows
Raimund Bürger, Stefan Diehl, M. Carmen Martí and Yolanda Vásquez Networks and Heterogeneous Media 18(1) 140 (2022) https://doi.org/10.3934/nhm.2023006
Up-wind difference approximation and singularity formation for a slow erosion model
Giuseppe Maria Coclite, Francesco Gargano and Vincenzo Sciacca ESAIM: Mathematical Modelling and Numerical Analysis 54(2) 465 (2020) https://doi.org/10.1051/m2an/2019068
On entropy stable schemes for degenerate parabolic multispecies kinematic flow models
Raimund Bürger, Paul E. Méndez and Carlos Parés Numerical Methods for Partial Differential Equations 35(5) 1847 (2019) https://doi.org/10.1002/num.22381
Viscous Two-Phase Flow in Porous Media Driven by Source Terms: Analysis and Numerics
On the convergence rate of finite difference methods for degenerate convection-diffusion equations in several space dimensions
Kenneth Hvistendahl Karlsen, Nils Henrik Risebro and Erlend Briseid Storrøsten ESAIM: Mathematical Modelling and Numerical Analysis 50(2) 499 (2016) https://doi.org/10.1051/m2an/2015057
Linearly Implicit IMEX Runge--Kutta Methods for a Class of Degenerate Convection-Diffusion Problems
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On the Numerical Integration of Scalar Nonlocal Conservation Laws
Paulo Amorim, Rinaldo M. Colombo and Andreia Teixeira ESAIM: Mathematical Modelling and Numerical Analysis 49(1) 19 (2015) https://doi.org/10.1051/m2an/2014023
𝐿¹ error estimates for difference approximations of degenerate convection-diffusion equations
Monotone difference schemes stabilized by discrete mollification for strongly degenerate parabolic equations
Carlos D. Acosta, Raimund Bürger and Carlos E. Mejía Numerical Methods for Partial Differential Equations 28(1) 38 (2012) https://doi.org/10.1002/num.20606
The homogeneous dirichlet problem for quasilinear anisotropic degenerate parabolic-hyperbolic equation with Lp initial value
Fully adaptive multiresolution schemes for strongly degenerate parabolic equations in one space dimension
Raimund Bürger, Ricardo Ruiz, Kai Schneider and Mauricio Sepúlveda ESAIM: Mathematical Modelling and Numerical Analysis 42(4) 535 (2008) https://doi.org/10.1051/m2an:2008016
Fully adaptive multiresolution schemes for strongly degenerate parabolic equations with discontinuous flux
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On an aggregation model with long and short range interactions
The Keller–Segel Model for Chemotaxis with Prevention of Overcrowding: Linear vs. Nonlinear Diffusion
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On an upwind difference scheme for strongly degenerate parabolic equations modelling the settling of suspensions in centrifuges and non-cylindrical vessels
A semi-implicit monotone difference scheme for an initial-boundary value problem of a strongly degenerate parabolic equation modeling sedimentation-consolidation processes
Filtration in Porous Media and Industrial Application
Magne S. Espedal and Kenneth Hvistendahl Karlsen Lecture Notes in Mathematics, Filtration in Porous Media and Industrial Application 1734 9 (2000) https://doi.org/10.1007/BFb0103975