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Solution of the Riemann problem of classical gasdynamics

Journal of Computational Physics, 2003
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QUARTAPELLE PROCOPIO, LUIGI   +3 more
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The Riemann problem

2000
Abstract Let γ ⊆ ℝn be an open set and let f : γ  ↦  ℝn be a smooth vector field. The Riemann problem for the system of conservation laws consists in finding a weak solution of (5.1) with piecewise constant initial data of the ...
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The Riemann Problem for Systems

2002
We return to the conservation law (1.2), but now study the case of systems, i.e., $$\displaystyle u_{t}+f(u)_{x}=0,$$ (5.1) where \(u=u(x,t)=(u_{1},\dots,u_{n})\) and \(f=f(u)=(f_{1},\dots,f_{n})\in C^{2}\) are vectors in \(\mathbb{R}^{n}\).
Helge Holden, Nils Henrik Risebro
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Riemann-Hilbert-Probleme

2005
Die Randwertaufgaben fur die Cauchy-Riemannschen Differentialgleichungen sind einerseits grundlegend fur viele Anwendungen, zum anderen enthullen sie tiefe, uberraschende Zusammenhange zwischen topologischen Invarianten und algebraischen Invarianten stetiger linearer Abbildungen.
Wolfgang L. Wendland, Olaf Steinbach
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The Riemann problem for the inhomogeneous pressureless Euler equations

Applied Mathematics Letters, 2023
Hanchun Yang, Hongjun Cheng
exaly  

The Riemann problem for the equations of constant pressure fluid dynamics with nonlinear damping

International Journal of Non-Linear Mechanics, 2021
Yanyan Zhang
exaly  

The Riemann‐Hilbert problem for finite riemann surfaces

Communications on Pure and Applied Mathematics, 1959
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Solution of the generalized Riemann problem for advection–reaction equations

Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2002
Vladimir Titarev, Eleuterio F Toro
exaly  

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