Shallow Water Model for Lakes with Navier slip boundary condition

Authors: Chemetov, N. V., Cipriano, F., Gavrilyuk, S.

Subject Terms: Mathematics - Analysis of PDEs, 35D05, 76B03, 76B47, 76D09

Access URL: http://arxiv.org/abs/2409.19181

Helicity in dispersive fluid mechanics

Authors: Gavrilyuk, S. L., Gouin, H.

Source: International Journal of Non-Linear Mechanics, 2024, 162, pp.104705

Subject Terms: Mathematics - Analysis of PDEs

Access URL: http://arxiv.org/abs/2403.20072

Numerical study of the Serre-Green-Naghdi equations in 2D

Authors: Gavrilyuk, S., Klein, C.

Subject Terms: Mathematics - Analysis of PDEs, Mathematics - Numerical Analysis

Access URL: http://arxiv.org/abs/2306.09731

Rankine--Hugoniot conditions for fluids whose energy depends on space and time derivatives of density

Authors: Gavrilyuk, S. L., Gouin, Henri

Source: Wave Motion, Elsevier, 2020, 98, pp.102620

Subject Terms: Physics - Fluid Dynamics, Physics - Classical Physics

Access URL: http://arxiv.org/abs/2010.02842

Multi-dimensional shear shallow water flows: Problems and solutions

Authors: Gavrilyuk, S., Ivanova, K., Favrie, N.

Source: In Journal of Computational Physics 1 August 2018 366:252-280

Mixing and nonlinear internal waves in a shallow flow of a three-layer stratified fluid

Authors: Chesnokov, A. A., Gavrilyuk, S. L., Liapidevskii, V. Yu.

Source: Physics of fluids. 34(7)

Availability: http://explore.bl.uk/primo_library/libweb/action/display.do?tabs=detailsTab&gathStatTab=true&ct=display&fn=search&doc=ETOCvdc_100157210151.0x000001&indx=1&recIds=ETOCvdc_100157210151.0x000001

STABILITY OF SHEAR SHALLOW WATER FLOWS WITH FREE SURFACE

Authors: CHESNOKOV, A. A., EL, G. A., GAVRILYUK, S. L., PAVLOV, M. V.

Source: SIAM Journal on Applied Mathematics, 2017 Jan 01. 77(3), 1068-1087.

Access URL: https://www.jstor.org/stable/45093278

Multi-solid and multi-fluid diffuse interface model: Applications to dynamic fracture and fragmentation

Authors: Ndanou, S., Favrie, N., Gavrilyuk, S.

Source: In Journal of Computational Physics 15 August 2015 295:523-555

A thermodynamically compatible splitting procedure in hyperelasticity

Authors: Favrie, N., Gavrilyuk, S., Ndanou, S.

Source: In Journal of Computational Physics 1 August 2014 270:300-324

An Example of a One-Parameter Family of Rank-One Convex Stored Energies for Isotropic Compressible Solids

Authors: Gavrilyuk, S., Ndanou, S., Hank, S.

Source: JOURNAL OF ELASTICITY. 124(1):133-141

Availability: http://explore.bl.uk/primo_library/libweb/action/display.do?tabs=detailsTab&gathStatTab=true&ct=display&fn=search&doc=ETOCRN377233577&indx=1&recIds=ETOCRN377233577

Symmetric form of governing equations for capillary fluids
Trends in applications of mathematics to mechanics

Authors: Gavrilyuk, S., Gouin, H.

Source: PITMAN MONOGRAPHS AND SURVEYS IN PURE AND APPLIED MATHEMATICS. :306-311

Availability: http://explore.bl.uk/primo_library/libweb/action/display.do?tabs=detailsTab&gathStatTab=true&ct=display&fn=search&doc=ETOCCN036058330&indx=1&recIds=ETOCCN036058330

Dynamic compaction of granular materials

Authors: Favrie, N., Gavrilyuk, S.

Source: Proceedings: Mathematical, Physical and Engineering Sciences, 2013 Dec 01. 469(2160), 1-20.

Access URL: https://www.jstor.org/stable/24507963

Rankine-Hugoniot Conditions for One-Entropy Two-Fluid Models
Waves and stability in continuous media; 'WASCOM 99'

Authors: Gouin, H., Gavrilyuk, S.

Source: WAVES AND STABILITY IN CONTINUOUS MEDIA. :209-218

Availability: http://explore.bl.uk/primo_library/libweb/action/display.do?tabs=detailsTab&gathStatTab=true&ct=display&fn=search&doc=ETOCCN043567147&indx=1&recIds=ETOCCN043567147

Geometric evolution of the Reynolds stress tensor

Authors: Gavrilyuk, S., Gouin, H.

Source: In International Journal of Engineering Science October 2012 59:65-73

Mathematical and numerical model for nonlinear viscoplasticity

Authors: Favrie, N., Gavrilyuk, S.

Source: Philosophical Transactions: Mathematical, Physical and Engineering Sciences, 2011 Jul . 369(1947), 2864-2880.

Access URL: https://www.jstor.org/stable/23035836

Hydraulic jumps in two-layer flow with a free surface

Authors: Gavrilyuk, S. L., Kazakova, M. Y.

Source: JOURNAL OF APPLIED MECHANICS AND TECHNICAL PHYSICS C/C OF ZHURNAL PRIKLADNOI MEKHANIKI I TEKHNICHESKOI FIZIKI. 55(2):209-219

Availability: http://explore.bl.uk/primo_library/libweb/action/display.do?tabs=detailsTab&gathStatTab=true&ct=display&fn=search&doc=ETOCRN352670325&indx=1&recIds=ETOCRN352670325

Criterion of Hyperbolicity in Hyperelasticity in the Case of the Stored Energy in Separable Form

Authors: Ndanou, S., Favrie, N., Gavrilyuk, S.

Source: JOURNAL OF ELASTICITY. 115(1):1-25

Availability: http://explore.bl.uk/primo_library/libweb/action/display.do?tabs=detailsTab&gathStatTab=true&ct=display&fn=search&doc=ETOCRN347804367&indx=1&recIds=ETOCRN347804367

Propagation of acoustic waves in porous media and their reflection and transmission at a pure-fluid/porous-medium permeable interface

Authors: Madeo, A., Gavrilyuk, S.

Source: In European Journal of Mechanics / A Solids 2010 29(5):897-910

A numerical scheme for the Green–Naghdi model

Authors: Le Métayer, O., Gavrilyuk, S., Hank, S.

Source: In Journal of Computational Physics 2010 229(6):2034-2045

Multiphase Flow Modeling via Hamilton's Principle
VARIATIONAL MODELS AND METHODS IN SOLID AND FLUID MECHANICS

Authors: Gavrilyuk, S.

Source: COURSES AND LECTURES- INTERNATIONAL CENTRE FOR MECHANICAL SCIENCES. (535):163-210

Availability: http://explore.bl.uk/primo_library/libweb/action/display.do?tabs=detailsTab&gathStatTab=true&ct=display&fn=search&doc=ETOCRN304165820&indx=1&recIds=ETOCRN304165820