Explicit solutions to a free interface model for the static/flowing transition in thin granular flows
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Publication:4958840
DOI10.1051/m2an/2020042zbMath1481.35340OpenAlexW2507966025MaRDI QIDQ4958840
Alexandre Ern, Christelle Lusso, Anne Mangeney-Castelnau, François Bouchut
Publication date: 15 September 2021
Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://hal-upec-upem.archives-ouvertes.fr/hal-01180686v4/file/analytic-simplified.pdf
PDEs in connection with fluid mechanics (35Q35) Dynamics of phase boundaries in solids (74N20) Viscoelastic fluids (76A10) Free boundary problems for PDEs (35R35) Granular flows (76T25)
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Cites Work
- An analytic approach for the evolution of the static/flowing interface in viscoplastic granular flows
- A three-dimensional numerical model for dense granular flows based on the \(\mu (I)\) rheology
- On new erosion models of Savage-Hutter type for avalanches
- Instability in the evolution equations describing incompressible granular flow
- A consistent thin-layer theory for Bingham plastics
- A new model of Saint Venant and Savage--Hutter type for gravity driven shallow water flows.
- A model of granular flows over an erodible surface
- Remarks on some nonlinear evolution problems arising in Bingham flows
- Gravity driven shallow water models for arbitrary topography
- Granular flow in partially filled slowly rotating drums
- Surface flow of granular materials: model and experiments in heap formation
- Well-posed and ill-posed behaviour of the -rheology for granular flow
- The granular column collapse as a continuum: validity of a two-dimensional Navier–Stokes model with a μ(I)-rheology
- A multilayer shallow model for dry granular flows with the -rheology: application to granular collapse on erodible beds
- A depth-averaged -rheology for shallow granular free-surface flows
- The motion of a finite mass of granular material down a rough incline
- Well-posed continuum equations for granular flow with compressibility and μ ( I )-rheology
- Partial regularisation of the incompressible 𝜇(I)-rheology for granular flow
- Constitutive relations for compressible granular flow in the inertial regime
- Crucial role of sidewalls in granular surface flows: consequences for the rheology
- Soil mechanics and plastic analysis or limit design