A Geometric Theory of Conservation Laws which Change Type: Plenary Lecture held at the Annual GAMM Conference at Braunschweig, Germany, April 4‐9, 1994

DOI10.1002/zamm.19950750802zbMath0833.90047OpenAlexW2053202700MaRDI QIDQ4847684

Rainer Schmidt

Publication date: 18 March 1996

Published in: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/zamm.19950750802

zbMATH Keywords

closed queueing networkseveral classes of customersoptimization of the number of customers

Mathematics Subject Classification ID

Stochastic network models in operations research (90B15) Queues and service in operations research (90B22) Applications of Markov renewal processes (reliability, queueing networks, etc.) (60K20)

Cites Work

• Nonstrictly hyperbolic conservation laws with a parabolic line
• Compressible fluid flow and systems of conservation laws in several space variables
• Change of type in three-phase flow: A simple analogue
• Global existence for thermomechanical processes with nonconvex free energies of Ginzburg-Landau form
• The Riemann problem for a class of hyperbolic conservation laws exhibiting a parabolic degeneracy
• Two-phase flow: Models and methods
• On the dissipative response due to discontinuous strains in bars of unstable elastic material
• A system of non-strictly hyperbolic conservation laws arising in elasticity theory
• The propagation of phase boundaries in elastic bars
• Asymptotic equations for conservation laws of mixed type
• The entropy condition and the admissibility of shocks
• Development of singularities in the nonlinear waves for quasi-linear hyperbolic partial differential equations
• A geometric study of shocks in equations that change type
• Admissibility criteria for propagating phase boundaries in a van der Waals fluid
• Shock wave admissibility for quadratic conservation laws
• Transitional Waves for Conservation Laws
• Riemann Solvers, the Entropy Condition, and Difference
• The classification of 2 × 2 systems of non-strictly hyperbolic conservation laws, with application to oil recovery
• Travelling waves in nonlinearly viscoelastic media and shock structure in elastic media
• Admissibility Conditions for Shocks in Conservation Laws that Change Type
• Conservation Laws of Mixed Type Describing Three-Phase Flow in Porous Media
• The Riemann Problem for General 2 × 2 Conservation Laws
• Solutions in the large for nonlinear hyperbolic systems of equations
• The Formation and Decay of Shock Waves
• Weak solutions of nonlinear hyperbolic equations and their numerical computation
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