Source-type solutions of a singular conservation law with absorption

DOI10.1016/S0362-546X(97)00497-5zbMath0933.35127WikidataQ115023173 ScholiaQ115023173MaRDI QIDQ4266439

Yuan Hongjun

Publication date: 19 March 2000

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

zbMATH Keywords

generalized solutionspositivitylocalizationexistence and nonexistenceDirac initial measure

Mathematics Subject Classification ID

Hyperbolic conservation laws (35L65)

Related Items

BV solutions for the Cauchy problem of a quasilinear hyperbolic equation with \(\sigma\)-finite Borel measure and nonlinear source, On a nonclassical problem for some quasilinear hyperbolic equation, Existence and uniqueness for a quasilinear hyperbolic equation with \(\sigma\)-finite Borel measures as initial conditions

Cites Work

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• Nonlinear parabolic equations involving measures as initial conditions
• Source-solutions and asymptotic behavior in conservation laws
• Source-type solutions of degenerate diffusion equations with absorption
• A very singular solution of the heat equation with absorption
• On a class of perturbed conservation laws
• The Cauchy problem for some classes of quasi-linear parabolic equations
• Uniqueness of solutions of degenerate diffusion equations with measures as initial conditions
• Source-type solutions of the porous media equation with absorption: The fast diffusion case
• Uniqueness of the solutions of ut−Δϕ(u) = 0 with initial datum a measure
• Continuity of solutions of a singular parabolic equation
• Singular solutions and asymptotic behaviour for a class of conservation laws with absorption
• Shock Waves on the Highway
• Perturbation Effects on the Decay of Discontinuous Solutions of Nonlinear First Order Wave Equations
• The partial differential equation u_t + uu_x = μ_xx
• On kinematic waves II. A theory of traffic flow on long crowded roads