## Gavrilyuk, Sergey L.

Compute Distance To:
 Author ID: gavrilyuk.sergey-l Published as: Gavrilyuk, S. L.; Gavrilyuk, Sergey; Gavrilyuk, S.; Gavrilyuk, Sergey L. more...less
 Documents Indexed: 80 Publications since 1985, including 1 Book 1 Contribution as Editor Co-Authors: 48 Co-Authors with 65 Joint Publications 736 Co-Co-Authors
all top 5

### Co-Authors

 13 single-authored 16 Favrie, Nicolas 12 Gouin, Henri 7 Saurel, Richard 6 Teshukov, Vladimir M. 5 Ndanou, Serge 4 Richard, Gäel Loïc 4 Shyue, Keh-Ming 3 Chesnokov, Alexander A. 3 Dumbser, Michael 3 Nkonga, Boniface 3 Perepechko, Yu. V. 2 Busto, Saray 2 Hank, Sarah 2 Ivanova, K. A. 2 Ivanova, Kseniya 2 Le Metayer, Olivier 2 Lyapidevskiĭ, Valeriĭ Yur’evich 2 Petitpas, Fabien 1 Bhole, Ashish 1 Chemetov, Nikolai V. 1 Chikhi, Nourdine 1 Chiocchetti, Simone 1 Cipriano, Fernanda 1 Daniel, Eric 1 dell’Isola, Francesco 1 Dhaouadi, Firas 1 El, Gennady A. 1 Escalante, Cipriano 1 Hematulin, Apichai 1 Hérard, Jean-Marc 1 Hurisse, Olivier 1 Kalisch, Henrik 1 Kazakova, M. Yu. 1 Khors, Zahra 1 Lallemand, Marie-Hélène 1 Makarenko, Nikolay I. 1 Massoni, Jacques 1 Meleshko, Sergey V. 1 Nesterenko, Vitali F. 1 Pavlov, Maxim V. 1 Peshkov, Ilya M. 1 Renaud, François 1 Schmidmayer, Kevin 1 Shugrin, S. M. 1 Sukhinin, S. V. 1 Tkachenko, Sergey 1 Toufaili, Ali 1 Truskinovsky, Lev
all top 5

### Serials

 11 Journal of Computational Physics 8 Journal of Fluid Mechanics 5 Nonlinearity 4 Dinamika Sploshnoĭ Sredy 4 European Journal of Mechanics. B. Fluids 3 International Journal of Engineering Science 3 Mathematical Methods in the Applied Sciences 3 Studies in Applied Mathematics 3 Continuum Mechanics and Thermodynamics 3 Prikladnaya Mekhanika i Tekhnicheskaya Fizika 2 Meccanica 2 Journal of Scientific Computing 2 European Journal of Mechanics. B. Fluids 2 Journal of Elasticity 1 Computers and Fluids 1 International Journal of Multiphase Flow 1 Teoreticheskaya i Matematicheskaya Fizika 1 Theoretical and Mathematical Physics 1 Wave Motion 1 Shock Waves 1 European Journal of Applied Mathematics 1 SIAM Journal on Applied Mathematics 1 Comptes Rendus de l’Académie des Sciences. Série II. Fascicule b 1 Mathematics and Mechanics of Solids 1 Siberian Journal of Differential Equations 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 1 Journal of Applied Mechanics and Technical Physics 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Journal of Mathematical Fluid Mechanics 1 European Journal of Mechanics. A. Solids 1 CISM International Centre for Mechanical Sciences. Courses and Lectures 1 Mathematics and Mechanics of Complex Systems 1 Lecture Notes in Geosystems Mathematics and Computing 1 Water Waves
all top 5

### Fields

 67 Fluid mechanics (76-XX) 30 Partial differential equations (35-XX) 15 Mechanics of deformable solids (74-XX) 12 Numerical analysis (65-XX) 4 Classical thermodynamics, heat transfer (80-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Geophysics (86-XX) 1 General and overarching topics; collections (00-XX) 1 Mechanics of particles and systems (70-XX) 1 Biology and other natural sciences (92-XX)

### Citations contained in zbMATH Open

64 Publications have been cited 810 times in 426 Documents Cited by Year
Mathematical and numerical modeling of two-phase compressible flows with micro-inertia. Zbl 1039.76067
Gavrilyuk, Sergey; Saurel, Richard
2002
A numerical scheme for the Green-Naghdi model. Zbl 1303.76105
Le Métayer, O.; Gavrilyuk, S.; Hank, S.
2010
Modelling wave dynamics of compressible elastic materials. Zbl 1155.74020
Gavrilyuk, S. L.; Favrie, N.; Saurel, R.
2008
A multiphase model with internal degrees of freedom: application to shock–bubble interaction. Zbl 1080.76062
Saurel, Richard; Gavrilyuk, Sergey; Renaud, François
2003
Solid-fluid diffuse interface model in cases of extreme deformations. Zbl 1280.74013
Favrie, N.; Gavrilyuk, S. L.; Saurel, R.
2009
A new model of roll waves: comparison with brock’s experiments. Zbl 1250.76041
Richard, G. L.; Gavrilyuk, S. L.
2012
The classical hydraulic jump in a model of shear shallow-water flows. Zbl 1287.76089
Richard, G. L.; Gavrilyuk, S. L.
2013
Shock jump relations for multiphase mixtures with stiff mechanical relaxation. Zbl 1195.76245
Saurel, R.; Le Métayer, O.; Massoni, J.; Gavrilyuk, S.
2007
Diffuse interface model for compressible fluid – compressible elastic-plastic solid interaction. Zbl 1430.74036
Favrie, N.; Gavrilyuk, S. L.
2012
Generalized vorticity for bubbly liquid and dispersive shallow water equations. Zbl 1097.76597
Gavrilyuk, S. L.; Teshukov, V. M.
2001
Multi-solid and multi-fluid diffuse interface model: applications to dynamic fracture and fragmentation. Zbl 1349.74377
Ndanou, S.; Favrie, N.; Gavrilyuk, S.
2015
A new form of governing equations of fluids arising from Hamilton’s principle. Zbl 1210.76009
Gavrilyuk, S.; Gouin, H.
1999
A rapid numerical method for solving Serre-Green-Naghdi equations describing long free surface gravity waves. Zbl 1432.65120
Favrie, N.; Gavrilyuk, S.
2017
Criterion of hyperbolicity in hyperelasticity in the case of the stored energy in separable form. Zbl 1302.35254
Ndanou, S.; Favrie, N.; Gavrilyuk, S.
2014
Media with equations of state that depend on derivatives. Zbl 1031.76501
Gavrilyuk, S. L.; Shugrin, S. M.
1996
Hamilton’s principle and Rankine-Hugoniot conditions for general motions of mixtures. Zbl 0947.76090
Gouin, Henri; Gavrilyuk, Sergey
1999
A kinematic conservation law in free surface flow. Zbl 1382.76025
Gavrilyuk, Sergey; Kalisch, Henrik; Khors, Zahra
2015
A model and numerical method for compressible flows with capillary effects. Zbl 1375.76198
Schmidmayer, Kevin; Petitpas, Fabien; Daniel, Eric; Favrie, Nicolas; Gavrilyuk, Sergey
2017
Spilling breakers in shallow water: applications to Favre waves and to the shoaling and breaking of solitary waves. Zbl 1383.76197
Gavrilyuk, S. L.; Liapidevskii, V. Yu.; Chesnokov, A. A.
2016
Kinetic model for the motion of compressible bubbles in a perfect fluid. Zbl 1051.76620
Teshukov, V. M.; Gavrilyuk, S. L.
2002
Hyperbolic models of homogeneous two-fluid mixtures. Zbl 0923.76335
Gavrilyuk, S. L.; Gouin, H.; Perepechko, Yu. V.
1998
Lagrangian coordinates for a drift-flux model of a gas-liquid mixture. Zbl 1135.76420
Gavrilyuk, S. L.; Fabre, J.
1996
Mathematical and numerical model for nonlinear viscoplasticity. Zbl 1228.74012
Favrie, N.; Gavrilyuk, S.
2011
Rankine–Hugoniot relations for shocks in heterogeneous mixtures. Zbl 1147.76590
Gavrilyuk, S. L.; Saurel, R.
2007
A thermodynamically compatible splitting procedure in hyperelasticity. Zbl 1349.74344
Favrie, N.; Gavrilyuk, S.; Ndanou, S.
2014
Geometric evolution of the Reynolds stress tensor. Zbl 1423.76137
Gavrilyuk, Sergey; Gouin, Henri
2012
A variational principle for two-fluid models. Zbl 0877.76057
Gavrilyuk, Sergey; Gouin, Henri; Perepechko, Yurij
1997
Modelling turbulence generation in solitary waves on shear shallow water flows. Zbl 1331.76034
Richard, G. L.; Gavrilyuk, S. L.
2015
Dynamics of shock waves in elastic-plastic solids. Zbl 1302.74036
Favrie, N.; Gavrilyuk, S.
2011
On high order ADER discontinuous Galerkin schemes for first order hyperbolic reformulations of nonlinear dispersive systems. Zbl 1465.76060
Busto, Saray; Dumbser, Michael; Escalante, Cipriano; Favrie, Nicolas; Gavrilyuk, Sergey
2021
Formation and coarsening of roll-waves in shear shallow water flows down an inclined rectangular channel. Zbl 1390.76042
Ivanova, K. A.; Gavrilyuk, S. L.; Nkonga, B.; Richard, G. L.
2017
An example of a one-parameter family of rank-one convex stored energies for isotropic compressible solids. Zbl 1337.35146
Gavrilyuk, S.; Ndanou, S.; Hank, S.
2016
Linear stability of parallel inviscid flows of shallow water and bubbly fluid. Zbl 1141.76382
Gavrilyuk, S. L.; Teshukov, V. M.
2004
Structure of the hydraulic jump in convergent radial flows. Zbl 1415.76291
Ivanova, K. A.; Gavrilyuk, Sergey L.
2019
Multiphase flow modeling via Hamilton’s principle. Zbl 1247.76085
Gavrilyuk, Sergey
2011
Shallow water model for lakes with friction and penetration. Zbl 1200.35210
Chemetov, N. V.; Cipriano, F.; Gavrilyuk, S.
2010
Modelling dynamic and irreversible powder compaction. Zbl 1221.76202
Saurel, Richard; Favrie, N.; Petitpas, F.; Lallemand, M.-H.; Gavrilyuk, S. L.
2010
Waves in continuous media. Zbl 1364.76003
Gavrilyuk, S. L.; Makarenko, N. I.; Sukhinin, S. V.
2017
Large amplitude oscillations and their “thermodynamics” for continua with “memory”. Zbl 0823.76085
Gavrilyuk, S. L.
1994
Bubble effect on Kelvin-Helmholtz instability. Zbl 1100.76524
Gavrilyuk, S. L.; Gouin, H.; Teshukov, V. M.
2004
On thermodynamically compatible finite volume methods and path-conservative ADER discontinuous Galerkin schemes for turbulent shallow water flows. Zbl 07384714
Busto, Saray; Dumbser, Michael; Gavrilyuk, Sergey; Ivanova, Kseniya
2021
Stability of shear shallow water flows with free surface. Zbl 1365.76058
Chesnokov, A. A.; El, G. A.; Gavrilyuk, Sergey L.; Pavlov, M. V.
2017
Multi-dimensional shear shallow water flows: problems and solutions. Zbl 1406.65068
Gavrilyuk, S.; Ivanova, K.; Favrie, N.
2018
Variational approach to constructing hyperbolic models of two-velocity media. Zbl 0930.76006
Gavrilyuk, S. L.; Perepechko, Yu. V.
1998
Acoustic properties of a two-fluid compressible mixture with micro-inertia. Zbl 1060.76104
Gavrilyuk, S. L.
2005
Dynamics of liquid nanofilms. Zbl 1213.82122
Gouin, Henri; Gavrilyuk, Sergey
2008
Group classification of one-dimensional equations of fluids with internal inertia. Zbl 1388.76323
Hematulin, Apichai; Meleshko, Sergey V.; Gavrilyuk, Sergey L.
2007
Fluctuation splitting Riemann solver for a non-conservative modeling of shear shallow water flow. Zbl 1452.65185
Bhole, Ashish; Nkonga, Boniface; Gavrilyuk, Sergey; Ivanova, Kseniya
2019
Three-dimensional nonlinear dispersive waves on shear flows. Zbl 1145.76336
Teshukov, V. M.; Gavrilyuk, S. L.
2006
Variational models and methods in solid and fluid mechanics. Papers based on the presentations at the course, Udine, Italy, July 12–16, 2010. Zbl 1234.74006
2011
Rankine-Hugoniot conditions for fluids whose energy depends on space and time derivatives of density. Zbl 07328371
Gavrilyuk, S. L.; Gouin, H.
2020
Dynamic compaction of granular materials. Zbl 1371.76153
Favrie, N.; Gavrilyuk, S.
2013
Extended Lagrangian approach for the defocusing nonlinear Schrödinger equation. Zbl 1418.35335
Dhaouadi, Firas; Favrie, Nicolas; Gavrilyuk, Sergey
2019
Symmetric form of governing equations for capillary fluids. Zbl 0973.35152
Gavrilyuk, S.; Gouin, H.
2000
Drag force acting on a bubble in a cloud of compressible spherical bubbles at large Reynolds numbers. Zbl 1065.76188
Gavrilyuk, S. L.; Teshukov, V. M.
2005
Criterion of hyperbolicity for non-conservative quasilinear systems admitting a partially convex conservation law. Zbl 1230.35064
Forestier, A.; Gavrilyuk, S.
2011
Geometric evolution of the Reynolds stress tensor in three-dimensional turbulence. Zbl 1239.76038
Gavrilyuk, S.; Gouin, H.
2010
Stationary shock-like transition fronts in dispersive systems. Zbl 1452.35101
Gavrilyuk, Sergey; Nkonga, Boniface; Shyue, Keh-Ming; Truskinovsky, Lev
2020
The piston problem in hyperelasticity with the stored energy in separable form. Zbl 1371.74045
Ndanou, Serge; Favrie, Nicolas; Gavrilyuk, Sergey
2017
Interaction of a subsurface bubble layer with long internal waves. Zbl 1408.76520
Gavrilyuk, Sergey; Liapidevskii, Valery; Chesnokov, Alexander
2019
Travelling waves in bubbly liquid with continuous bubble-size distribution. Zbl 0831.76083
Gavrilyuk, S. L.
1995
Hydraulic jumps in two-layer flow with a free surface. Zbl 1334.76030
Gavrilyuk, S. L.; Kazakova, M. Yu.
2014
Dissipative two-fluid models. Zbl 1099.76071
Gouin, Henri; Gavrilyuk, Sergey
2006
The problem on the decay of an arbitrary discontinuity for the van der Waals gas. Zbl 0582.76083
Gavrilyuk, S. L.
1985
On high order ADER discontinuous Galerkin schemes for first order hyperbolic reformulations of nonlinear dispersive systems. Zbl 1465.76060
Busto, Saray; Dumbser, Michael; Escalante, Cipriano; Favrie, Nicolas; Gavrilyuk, Sergey
2021
On thermodynamically compatible finite volume methods and path-conservative ADER discontinuous Galerkin schemes for turbulent shallow water flows. Zbl 07384714
Busto, Saray; Dumbser, Michael; Gavrilyuk, Sergey; Ivanova, Kseniya
2021
Rankine-Hugoniot conditions for fluids whose energy depends on space and time derivatives of density. Zbl 07328371
Gavrilyuk, S. L.; Gouin, H.
2020
Stationary shock-like transition fronts in dispersive systems. Zbl 1452.35101
Gavrilyuk, Sergey; Nkonga, Boniface; Shyue, Keh-Ming; Truskinovsky, Lev
2020
Structure of the hydraulic jump in convergent radial flows. Zbl 1415.76291
Ivanova, K. A.; Gavrilyuk, Sergey L.
2019
Fluctuation splitting Riemann solver for a non-conservative modeling of shear shallow water flow. Zbl 1452.65185
Bhole, Ashish; Nkonga, Boniface; Gavrilyuk, Sergey; Ivanova, Kseniya
2019
Extended Lagrangian approach for the defocusing nonlinear Schrödinger equation. Zbl 1418.35335
Dhaouadi, Firas; Favrie, Nicolas; Gavrilyuk, Sergey
2019
Interaction of a subsurface bubble layer with long internal waves. Zbl 1408.76520
Gavrilyuk, Sergey; Liapidevskii, Valery; Chesnokov, Alexander
2019
Multi-dimensional shear shallow water flows: problems and solutions. Zbl 1406.65068
Gavrilyuk, S.; Ivanova, K.; Favrie, N.
2018
A rapid numerical method for solving Serre-Green-Naghdi equations describing long free surface gravity waves. Zbl 1432.65120
Favrie, N.; Gavrilyuk, S.
2017
A model and numerical method for compressible flows with capillary effects. Zbl 1375.76198
Schmidmayer, Kevin; Petitpas, Fabien; Daniel, Eric; Favrie, Nicolas; Gavrilyuk, Sergey
2017
Formation and coarsening of roll-waves in shear shallow water flows down an inclined rectangular channel. Zbl 1390.76042
Ivanova, K. A.; Gavrilyuk, S. L.; Nkonga, B.; Richard, G. L.
2017
Waves in continuous media. Zbl 1364.76003
Gavrilyuk, S. L.; Makarenko, N. I.; Sukhinin, S. V.
2017
Stability of shear shallow water flows with free surface. Zbl 1365.76058
Chesnokov, A. A.; El, G. A.; Gavrilyuk, Sergey L.; Pavlov, M. V.
2017
The piston problem in hyperelasticity with the stored energy in separable form. Zbl 1371.74045
Ndanou, Serge; Favrie, Nicolas; Gavrilyuk, Sergey
2017
Spilling breakers in shallow water: applications to Favre waves and to the shoaling and breaking of solitary waves. Zbl 1383.76197
Gavrilyuk, S. L.; Liapidevskii, V. Yu.; Chesnokov, A. A.
2016
An example of a one-parameter family of rank-one convex stored energies for isotropic compressible solids. Zbl 1337.35146
Gavrilyuk, S.; Ndanou, S.; Hank, S.
2016
Multi-solid and multi-fluid diffuse interface model: applications to dynamic fracture and fragmentation. Zbl 1349.74377
Ndanou, S.; Favrie, N.; Gavrilyuk, S.
2015
A kinematic conservation law in free surface flow. Zbl 1382.76025
Gavrilyuk, Sergey; Kalisch, Henrik; Khors, Zahra
2015
Modelling turbulence generation in solitary waves on shear shallow water flows. Zbl 1331.76034
Richard, G. L.; Gavrilyuk, S. L.
2015
Criterion of hyperbolicity in hyperelasticity in the case of the stored energy in separable form. Zbl 1302.35254
Ndanou, S.; Favrie, N.; Gavrilyuk, S.
2014
A thermodynamically compatible splitting procedure in hyperelasticity. Zbl 1349.74344
Favrie, N.; Gavrilyuk, S.; Ndanou, S.
2014
Hydraulic jumps in two-layer flow with a free surface. Zbl 1334.76030
Gavrilyuk, S. L.; Kazakova, M. Yu.
2014
The classical hydraulic jump in a model of shear shallow-water flows. Zbl 1287.76089
Richard, G. L.; Gavrilyuk, S. L.
2013
Dynamic compaction of granular materials. Zbl 1371.76153
Favrie, N.; Gavrilyuk, S.
2013
A new model of roll waves: comparison with brock’s experiments. Zbl 1250.76041
Richard, G. L.; Gavrilyuk, S. L.
2012
Diffuse interface model for compressible fluid – compressible elastic-plastic solid interaction. Zbl 1430.74036
Favrie, N.; Gavrilyuk, S. L.
2012
Geometric evolution of the Reynolds stress tensor. Zbl 1423.76137
Gavrilyuk, Sergey; Gouin, Henri
2012
Mathematical and numerical model for nonlinear viscoplasticity. Zbl 1228.74012
Favrie, N.; Gavrilyuk, S.
2011
Dynamics of shock waves in elastic-plastic solids. Zbl 1302.74036
Favrie, N.; Gavrilyuk, S.
2011
Multiphase flow modeling via Hamilton’s principle. Zbl 1247.76085
Gavrilyuk, Sergey
2011
Variational models and methods in solid and fluid mechanics. Papers based on the presentations at the course, Udine, Italy, July 12–16, 2010. Zbl 1234.74006
2011
Criterion of hyperbolicity for non-conservative quasilinear systems admitting a partially convex conservation law. Zbl 1230.35064
Forestier, A.; Gavrilyuk, S.
2011
A numerical scheme for the Green-Naghdi model. Zbl 1303.76105
Le Métayer, O.; Gavrilyuk, S.; Hank, S.
2010
Shallow water model for lakes with friction and penetration. Zbl 1200.35210
Chemetov, N. V.; Cipriano, F.; Gavrilyuk, S.
2010
Modelling dynamic and irreversible powder compaction. Zbl 1221.76202
Saurel, Richard; Favrie, N.; Petitpas, F.; Lallemand, M.-H.; Gavrilyuk, S. L.
2010
Geometric evolution of the Reynolds stress tensor in three-dimensional turbulence. Zbl 1239.76038
Gavrilyuk, S.; Gouin, H.
2010
Solid-fluid diffuse interface model in cases of extreme deformations. Zbl 1280.74013
Favrie, N.; Gavrilyuk, S. L.; Saurel, R.
2009
Modelling wave dynamics of compressible elastic materials. Zbl 1155.74020
Gavrilyuk, S. L.; Favrie, N.; Saurel, R.
2008
Dynamics of liquid nanofilms. Zbl 1213.82122
Gouin, Henri; Gavrilyuk, Sergey
2008
Shock jump relations for multiphase mixtures with stiff mechanical relaxation. Zbl 1195.76245
Saurel, R.; Le Métayer, O.; Massoni, J.; Gavrilyuk, S.
2007
Rankine–Hugoniot relations for shocks in heterogeneous mixtures. Zbl 1147.76590
Gavrilyuk, S. L.; Saurel, R.
2007
Group classification of one-dimensional equations of fluids with internal inertia. Zbl 1388.76323
Hematulin, Apichai; Meleshko, Sergey V.; Gavrilyuk, Sergey L.
2007
Three-dimensional nonlinear dispersive waves on shear flows. Zbl 1145.76336
Teshukov, V. M.; Gavrilyuk, S. L.
2006
Dissipative two-fluid models. Zbl 1099.76071
Gouin, Henri; Gavrilyuk, Sergey
2006
Acoustic properties of a two-fluid compressible mixture with micro-inertia. Zbl 1060.76104
Gavrilyuk, S. L.
2005
Drag force acting on a bubble in a cloud of compressible spherical bubbles at large Reynolds numbers. Zbl 1065.76188
Gavrilyuk, S. L.; Teshukov, V. M.
2005
Linear stability of parallel inviscid flows of shallow water and bubbly fluid. Zbl 1141.76382
Gavrilyuk, S. L.; Teshukov, V. M.
2004
Bubble effect on Kelvin-Helmholtz instability. Zbl 1100.76524
Gavrilyuk, S. L.; Gouin, H.; Teshukov, V. M.
2004
A multiphase model with internal degrees of freedom: application to shock–bubble interaction. Zbl 1080.76062
Saurel, Richard; Gavrilyuk, Sergey; Renaud, François
2003
Mathematical and numerical modeling of two-phase compressible flows with micro-inertia. Zbl 1039.76067
Gavrilyuk, Sergey; Saurel, Richard
2002
Kinetic model for the motion of compressible bubbles in a perfect fluid. Zbl 1051.76620
Teshukov, V. M.; Gavrilyuk, S. L.
2002
Generalized vorticity for bubbly liquid and dispersive shallow water equations. Zbl 1097.76597
Gavrilyuk, S. L.; Teshukov, V. M.
2001
Symmetric form of governing equations for capillary fluids. Zbl 0973.35152
Gavrilyuk, S.; Gouin, H.
2000
A new form of governing equations of fluids arising from Hamilton’s principle. Zbl 1210.76009
Gavrilyuk, S.; Gouin, H.
1999
Hamilton’s principle and Rankine-Hugoniot conditions for general motions of mixtures. Zbl 0947.76090
Gouin, Henri; Gavrilyuk, Sergey
1999
Hyperbolic models of homogeneous two-fluid mixtures. Zbl 0923.76335
Gavrilyuk, S. L.; Gouin, H.; Perepechko, Yu. V.
1998
Variational approach to constructing hyperbolic models of two-velocity media. Zbl 0930.76006
Gavrilyuk, S. L.; Perepechko, Yu. V.
1998
A variational principle for two-fluid models. Zbl 0877.76057
Gavrilyuk, Sergey; Gouin, Henri; Perepechko, Yurij
1997
Media with equations of state that depend on derivatives. Zbl 1031.76501
Gavrilyuk, S. L.; Shugrin, S. M.
1996
Lagrangian coordinates for a drift-flux model of a gas-liquid mixture. Zbl 1135.76420
Gavrilyuk, S. L.; Fabre, J.
1996
Travelling waves in bubbly liquid with continuous bubble-size distribution. Zbl 0831.76083
Gavrilyuk, S. L.
1995
Large amplitude oscillations and their “thermodynamics” for continua with “memory”. Zbl 0823.76085
Gavrilyuk, S. L.
1994
The problem on the decay of an arbitrary discontinuity for the van der Waals gas. Zbl 0582.76083
Gavrilyuk, S. L.
1985
all top 5

### Cited by 596 Authors

 39 Gavrilyuk, Sergey L. 24 Saurel, Richard 23 Hérard, Jean-Marc 22 Dumbser, Michael 14 Favrie, Nicolas 13 Lyapidevskiĭ, Valeriĭ Yur’evich 12 Gouin, Henri 12 Hurisse, Olivier 11 Chesnokov, Alexander A. 11 Toro, Eleuterio F. 10 Boscheri, Walter 10 Richard, Gäel Loïc 10 Romenskii, Evgenii I. 9 Peshkov, Ilya M. 8 Coquel, Frédéric 8 Le Metayer, Olivier 8 Petitpas, Fabien 7 Abgrall, Rémi 7 Kalisch, Henrik 7 Marche, Fabien 6 Evje, Steinar 6 Lannes, David 6 Nkonga, Boniface 6 Sainte-Marie, Jacques 6 Vila, Jean-Paul 5 Busto, Saray 5 Cheng, Junbo 5 Daniel, Eric 5 Godlewski, Edwige 5 Heuzé, Thomas 5 Loubère, Raphaël 5 Massoni, Jacques 5 Seguin, Nicolas 5 Tian, Baolin 4 Bristeau, Marie-Odile 4 Chemetov, Nikolai V. 4 Chiapolino, Alexandre 4 Daude, Frédéric 4 dell’Isola, Francesco 4 El, Gennady A. 4 Franquet, Erwin 4 Furfaro, Damien 4 Gaburro, Elena 4 Gallouët, Thierry 4 Galon, Pascal 4 Iollo, Angelo 4 Jiang, Song 4 Li, Maojun 4 Madeo, Angela 4 Meleshko, Sergey V. 4 Ndanou, Serge 4 Noble, Pascal 4 Pavlov, Maxim V. 4 Quibel, Lucie 4 Schmidmayer, Kevin 4 Shyue, Keh-Ming 4 Teshukov, Vladimir M. 3 Adams, Nikolaus A. 3 Barton, Philip T. 3 Chalons, Christophe 3 Chen, Qian 3 Cipriano, Fernanda 3 Després, Bruno 3 Duchêne, Vincent 3 Dutykh, Denys 3 Fraysse, François 3 Grimshaw, Roger Hamilton James 3 Hank, Sarah 3 Israwi, Samer 3 Ivanova, Kseniya 3 LeFloch, Philippe Gerard 3 Li, Xiao 3 Lima, Pedro Miguel 3 Liu, Tiegang 3 Lochon, Hippolyte 3 Maire, Pierre-Henri 3 Martin, Robert J. 3 Milcent, Thomas 3 Monasse, Laurent 3 Neff, Patrizio 3 Nikiforakis, Nikolaos 3 Parisot, Martin 3 Phan, Duy Nhat 3 Saleh, Khaled 3 Seppecher, Pierre 3 Shen, Zhijun 3 Siriwat, Piyanuch 3 Stainier, Laurent 3 Tokareva, Svetlana A. 3 Yao, Lei 3 Yu, Ming 3 Zeidan, Dia 3 Zhai, Jiayin 3 Zumbrun, Kevin R. 2 Abid, Malek 2 Aïssiouene, Nora 2 Ambroso, Annalisa 2 Bacigaluppi, Paola 2 Barros, Ricardo 2 Bassi, Caterina ...and 496 more Authors
all top 5

### Cited in 101 Serials

 92 Journal of Computational Physics 42 Computers and Fluids 28 Journal of Fluid Mechanics 18 European Journal of Mechanics. B. Fluids 13 Continuum Mechanics and Thermodynamics 11 Journal of Scientific Computing 10 Wave Motion 10 Journal of Applied Mechanics and Technical Physics 10 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 9 Communications in Computational Physics 8 Applied Mathematics and Computation 7 Physica D 6 Nonlinearity 5 Fluid Dynamics 4 International Journal of Engineering Science 4 Shock Waves 4 Journal of Differential Equations 4 Journal of Nonlinear Science 4 Physics of Fluids 4 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 4 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 4 Water Waves 4 International Journal on Finite Volumes 3 Computers & Mathematics with Applications 3 Computer Methods in Applied Mechanics and Engineering 3 Studies in Applied Mathematics 3 Applied Numerical Mathematics 3 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 3 Applied Mathematical Modelling 3 Journal of Elasticity 3 Advances in Applied Mathematics and Mechanics 3 SMAI Journal of Computational Mathematics 2 Archive for Rational Mechanics and Analysis 2 International Journal for Numerical Methods in Fluids 2 Journal of Functional Analysis 2 Quarterly of Applied Mathematics 2 Ricerche di Matematica 2 Mathematical and Computer Modelling 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 SIAM Journal on Applied Mathematics 2 SIAM Journal on Scientific Computing 2 Russian Journal of Numerical Analysis and Mathematical Modelling 2 Mathematics and Mechanics of Solids 2 International Journal of Computational Fluid Dynamics 2 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 2 Journal of Mathematical Fluid Mechanics 2 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 2 Communications in Nonlinear Science and Numerical Simulation 2 Differential Equations 2 Nonlinear Analysis. Real World Applications 2 Discrete and Continuous Dynamical Systems. Series S 2 Vestnik Yuzhno-Ural’skogo Gosudarstvennogo Universiteta. Seriya Matematicheskoe Modelirovanie i Programmirovanie 2 AMM. Applied Mathematics and Mechanics. (English Edition) 1 Astrophysics and Space Science 1 Communications in Mathematical Physics 1 Communications on Pure and Applied Mathematics 1 International Journal of Solids and Structures 1 Journal of Mathematical Physics 1 Mathematical Methods in the Applied Sciences 1 Physics Letters. A 1 Russian Mathematical Surveys 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 1 Mathematics of Computation 1 Theoretical and Computational Fluid Dynamics 1 Calcolo 1 Journal of Computational and Applied Mathematics 1 Mathematische Annalen 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 SIAM Journal on Control and Optimization 1 SIAM Journal on Numerical Analysis 1 Acta Applicandae Mathematicae 1 Applied Mathematics Letters 1 Asymptotic Analysis 1 SIAM Journal on Mathematical Analysis 1 Russian Journal of Mathematical Physics 1 Annales Mathématiques Blaise Pascal 1 European Journal of Mechanics. A. Solids 1 Journal of Dynamical and Control Systems 1 Combustion Theory and Modelling 1 Lobachevskii Journal of Mathematics 1 Matematicheskoe Modelirovanie 1 Archives of Computational Methods in Engineering 1 Discrete and Continuous Dynamical Systems. Series B 1 Vestnik Novosibirskogo Gosudarstvennogo Universiteta. Seriya: Matematika, Mekhanika, Informatika 1 Multiscale Modeling & Simulation 1 International Journal of Computational Methods 1 Journal of Hyperbolic Differential Equations 1 Journal of Computational Acoustics 1 Proceedings of the Steklov Institute of Mathematics 1 Networks and Heterogeneous Media 1 Mathematical Modelling of Natural Phenomena 1 Numerical Mathematics: Theory, Methods and Applications 1 Analysis and Mathematical Physics 1 Journal of Theoretical Biology 1 Evolution Equations and Control Theory 1 Mathematics and Mechanics of Complex Systems 1 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Communications on Applied Mathematics and Computation ...and 1 more Serials
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### Cited in 23 Fields

 355 Fluid mechanics (76-XX) 124 Partial differential equations (35-XX) 114 Numerical analysis (65-XX) 81 Mechanics of deformable solids (74-XX) 25 Geophysics (86-XX) 21 Classical thermodynamics, heat transfer (80-XX) 13 Statistical mechanics, structure of matter (82-XX) 7 Dynamical systems and ergodic theory (37-XX) 5 Ordinary differential equations (34-XX) 5 Mechanics of particles and systems (70-XX) 4 Global analysis, analysis on manifolds (58-XX) 4 Relativity and gravitational theory (83-XX) 3 Astronomy and astrophysics (85-XX) 3 Biology and other natural sciences (92-XX) 3 Systems theory; control (93-XX) 2 General and overarching topics; collections (00-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Integral equations (45-XX) 2 Computer science (68-XX) 1 History and biography (01-XX) 1 Real functions (26-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Convex and discrete geometry (52-XX)