Explicit construction of measure solutions of Cauchy problem for transportation equations

DOI10.1007/BF02876374zbMath0909.76088MaRDI QIDQ1392644

Jiequan Li, Shaozhong Cheng, Tong Zhang

Publication date: 7 April 1999

Published in: Science in China. Series A (Search for Journal in Brave)

zbMATH Keywords

Burgers equationzero-pressure flowadhesion particle dynamicsconvex hull of potential functionDirac delta-shockslarge scale structures in universe

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Compressible fluids and gas dynamics (76N99)

Related Items (9)

A class of nonlinear, nonhyperbolic systems of conservation laws with well-posed initial value problems ⋮ Delta shock as free piston in pressureless Euler flows ⋮ Eulerian droplet model: delta-shock waves and solution of the Riemann problem ⋮ Radon measure solutions to Riemann problems for isentropic compressible Euler equations of polytropic gases ⋮ The Riemann problem for a weakly hyperbolic two-phase flow model of a dispersed phase in a carrier fluid ⋮ Delta-shocks and vacuums in zero-pressure gas dynamics by the flux approximation ⋮ Probability measures on path space for rectilinear damped pressureless Euler-Poisson equations ⋮ A global unique solvability of entropic weak solution to the one-dimensional pressureless Euler system with a flocking dissipation ⋮ Interaction of four rarefaction waves in the bi-symmetric class of the pressure-gradient system

Cites Work

• Delta-shock waves as limits of vanishing viscosity for hyperbolic systems of conservation laws
• Two-dimensional Riemann problem for a hyperbolic system of nonlinear conservation laws. I: Four-\(J\) cases
• Existence and uniqueness of discontinuous solutions defined by Lebesgue-Stieltjes integral
• Generalized variational principles, global weak solutions and behavior with random initial data for systems of conservation laws arising in adhesion particle dynamics
• Hyperbolic systems of conservation laws II
• The partial differential equation u_t + uu_x = μ_xx

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