Modelling wave dynamics of compressible elastic materials. - Sergey L. Gavrilyuk; Nicolas Favrie; Richard Saurel (J. Comput. Phys., 2008)

Solid-fluid diffuse interface model in cases of extreme deformations. - Nicolas Favrie; Sergey L. Gavrilyuk; Richard Saurel (J. Comput. Phys., 2009)

A numerical scheme for the Green-Naghdi model. - Olivier Le Métayer; Sergey L. Gavrilyuk; Sarah Hank (J. Comput. Phys., 2010)

Diffuse interface model for compressible fluid - Compressible elastic-plastic solid interaction. - Nicolas Favrie; Sergey L. Gavrilyuk (J. Comput. Phys., 2012)

A thermodynamically compatible splitting procedure in hyperelasticity. - Nicolas Favrie; Sergey L. Gavrilyuk; Serge Ndanou (J. Comput. Phys., 2014)

Multi-solid and multi-fluid diffuse interface model: Applications to dynamic fracture and fragmentation. - Serge Ndanou; Nicolas Favrie; Sergey L. Gavrilyuk (J. Comput. Phys., 2015)

A model and numerical method for compressible flows with capillary effects. - Kevin Schmidmayer; Fabien Petitpas; Eric Daniel; Nicolas Favrie; Sergey L. Gavrilyuk (J. Comput. Phys., 2017)

Stability Of Shear Shallow Water Flows with Free Surface. - A. A. Chesnokov; Gennady A. El; Sergey L. Gavrilyuk; Maxim V. Pavlov (SIAM J. Appl. Math., 2017)

Multi-dimensional shear shallow water flows: Problems and solutions. - Sergey L. Gavrilyuk; Kseniya Ivanova; Nicolas Favrie (J. Comput. Phys., 2018)

Fluctuation splitting Riemann solver for a non-conservative modeling of shear shallow water flow. - Ashish Bhole; Boniface Nkonga; Sergey L. Gavrilyuk; Kseniya Ivanova (J. Comput. Phys., 2019)

High order ADER schemes and GLM curl cleaning for a first order hyperbolic formulation of compressible flow with surface tension. - Simone Chiocchetti; Ilya Peshkov; Sergey L. Gavrilyuk; Michael Dumbser (J. Comput. Phys., 2021)

On High Order ADER Discontinuous Galerkin Schemes for First Order Hyperbolic Reformulations of Nonlinear Dispersive Systems. - Saray Busto; Michael Dumbser; Cipriano Escalante; Nicolas Favrie; Sergey L. Gavrilyuk (J. Sci. Comput., 2021)

On Thermodynamically Compatible Finite Volume Methods and Path-Conservative ADER Discontinuous Galerkin Schemes for Turbulent Shallow Water Flows. - Saray Busto; Michael Dumbser; Sergey L. Gavrilyuk; Kseniya Ivanova (J. Sci. Comput., 2021)

Hyperbolic relaxation models for thin films down an inclined plane. - Firas Dhaouadi; Sergey L. Gavrilyuk; Jean-Paul Vila (Appl. Math. Comput., 2022)

Numerical validation of homogeneous multi-fluid models. - Duyen T. M. Phan; Sergey L. Gavrilyuk; Giovanni Russo (Appl. Math. Comput., 2023)

An Eulerian hyperbolic model for heat transfer derived via Hamilton's principle: analytical and numerical study. - Firas Dhaouadi; Sergey L. Gavrilyuk (CoRR, 2023)

Numerical study of the Serre-Green-Naghdi equations in 2D. - Sergey L. Gavrilyuk; Christian Klein 002 (CoRR, 2023)

Extended Lagrangian approach for the numerical study of multidimensional dispersive waves: Applications to the Serre-Green-Naghdi equations. - Sergey Tkachenko; Sergey L. Gavrilyuk; Jacques Massoni (J. Comput. Phys., 2023)

A first-order hyperbolic reformulation of the Cahn-Hilliard equation. - Firas Dhaouadi; Michael Dumbser; Sergey L. Gavrilyuk (CoRR, 2024)

The conduit equation: Hyperbolic approximation and generalized Riemann problem. - Sergey L. Gavrilyuk; Boniface Nkonga; Keh-Ming Shyue (J. Comput. Phys., 2024)