Well-posedness for a slow erosion model

DOI10.1016/j.jmaa.2017.07.006zbMath1378.35075OpenAlexW2735096147MaRDI QIDQ2401828

Enrico Jannelli, Giuseppe Maria Coclite

Publication date: 5 September 2017

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2017.07.006

zbMATH Keywords

vanishing viscosityentropy solutionscompensated compactnessasymptotic profilegranular flows

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Granular flows (76T25) Viscosity solutions to PDEs (35D40) Integro-partial differential equations (35R09)

Related Items (7)

Up-wind difference approximation and singularity formation for a slow erosion model ⋮ Nonlocal scalar conservation laws with discontinuous flux ⋮ Unnamed Item ⋮ A non-local elliptic-hyperbolic system related to the short pulse equation ⋮ Boundary controllability and asymptotic stabilization of a nonlocal traffic flow model ⋮ On existence and uniqueness of weak solutions to nonlocal conservation laws with BV kernels ⋮ On the initial-boundary value problem for a non-local elliptic-hyperbolic system related to the short pulse equation

Cites Work

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• The embedding of the positive cone of $H^{-1}$ in $W^{-1,\,q}$ is compact for all $q<2$ (with a remark of Haim Brezis)
• Erosion profile by a global model for granular flow
• Conservation laws with singular nonlocal sources
• Convergence of vanishing capillarity approximations for scalar conservation laws with discontinuous fluxes
• Wellposedness for a parabolic-elliptic system
• AN INTEGRO-DIFFERENTIAL CONSERVATION LAW ARISING IN A MODEL OF GRANULAR FLOW
• Convergence of an Engquist-Osher scheme for a multi-dimensional triangular system of conservation laws

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