Slow Erosion with Rough Geological Layers

DOI10.1137/15M101124XzbMath1329.35199OpenAlexW1156130769MaRDI QIDQ2943504

Wen Shen

Publication date: 3 September 2015

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/15m101124x

zbMATH Keywords

Riemann problemskinksjump discontinuitiesentropy weak solutionsdiscontinuous flux functionshyper-kinksKruzhkov-type entropy inequality

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Integro-partial differential equations (45K05) Hyperbolic conservation laws (35L65) Integro-partial differential equations (35R09) Initial value problems for first-order hyperbolic equations (35L03)

Related Items (3)

On the Cauchy problems for polymer flooding with gravitation ⋮ Vanishing Viscosity and Backward Euler Approximations for Conservation Laws with Discontinuous Flux ⋮ Attainable profiles for conservation laws with flux function spatially discontinuous at a single point

Cites Work

• Unnamed Item
• Unnamed Item
• Front tracking approximations for slow erosion
• The slow erosion limit in a model of granular flow
• Global solution of the Cauchy problem for a class of 2x2 nonstrictly hyperbolic conservation laws
• A semigroup approach to an integro-differential equation modeling slow erosion
• Erosion profile by a global model for granular flow
• Existence and stability of traveling waves for an integro-differential equation for slow erosion
• AN INTEGRO-DIFFERENTIAL CONSERVATION LAW ARISING IN A MODEL OF GRANULAR FLOW
• Lipschitz semigroup for an integro–differential equation for slow erosion
• Solution of the Cauchy Problem for a Conservation Law with a Discontinuous Flux Function
• Conservation Laws with Time Dependent Discontinuous Coefficients
• FIRST ORDER QUASILINEAR EQUATIONS IN SEVERAL INDEPENDENT VARIABLES

This page was built for publication: Slow Erosion with Rough Geological Layers