Theoretical Study of a Multidimensional Pressureless Model with Unilateral Constraint

DOI10.1137/16M1074515zbMath1370.35216OpenAlexW2595635309MaRDI QIDQ5274916

Florent Berthelin

Publication date: 7 July 2017

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

Full work available at URL: https://doi.org/10.1137/16m1074515

zbMATH Keywords

pressureless gasconservation laws with constraintsplitting dynamicssticky blocks

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Hyperbolic conservation laws (35L65) Theoretical approximation in context of PDEs (35A35) Liquid-gas two-phase flows, bubbly flows (76T10) Weak solutions to PDEs (35D30) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Unilateral problems for hyperbolic systems and systems of variational inequalities with hyperbolic operators (35L87)

Related Items

Compression effects in heterogeneous media ⋮ Existence result for a two-dimensional system of conservation laws with unilateral constraints ⋮ Soft congestion approximation to the one-dimensional constrained Euler equations

Cites Work

• Singular limit of a Navier-Stokes system leading to a free/congested zones two-phase model
• On a free boundary barotropic model
• Weak solutions for a hyperbolic system with unilateral constraint and mass loss.
• Unilateral problems for nonlinear convection-reaction equations
• Generalized variational principles, global weak solutions and behavior with random initial data for systems of conservation laws arising in adhesion particle dynamics
• A model for the evolution of traffic jams in multi-lane
• A model for the formation and evolution of traffic jams
• Bounded continuous vector-valued functions on a locally compact space
• Obstacle problems for scalar conservation laws
• Free/Congested Two-Phase Model from Weak Solutions to Multi-Dimensional Compressible Navier-Stokes Equations
• A TRAFFIC-FLOW MODEL WITH CONSTRAINTS FOR THE MODELING OF TRAFFIC JAMS
• Problème d'obstacle pour une équation quasi-linéaire du premier ordre
• Sticky Particles and Scalar Conservation Laws
• Numerical flux-splitting for a class of hyperbolic systems with unilateral constraint
• Duality solutions for pressureless gases, monotone scalar conservation laws, and uniqueness
• EXISTENCE AND WEAK STABILITY FOR A PRESSURELESS MODEL WITH UNILATERAL CONSTRAINT
• A hierarchy of models for two-phase flows
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