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The piston Riemann problem in a photon superfluid [PDF]
Nature Communications, 2022 The flow of light in nonlinear media can be considered as superfluid flow and described with quantum hydrodynamics. Here the authors demonstrate superfluid flow, optical rarefaction (retracting piston) and shock (pushing piston) wave pairs and ...
Abdelkrim Bendahmane +5 more
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The Riemann problem on a ray for generalized analytic functions with a singular line [PDF]
Известия Саратовского университета. Новая серия: Математика. Механика. Информатика, 2023 In this paper, we study an inhomogeneous Riemann boundary value problem with a finite index and a boundary condition on a ray for a generalized Cauchy – Riemann equation with a singular coefficient.
Shabalin, Pavel Leonidovich +1 more
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The Perturbed Riemann Problem with Delta Shock for a Hyperbolic System [PDF]
Advances in Mathematical Physics, 2018 In this paper, we study the perturbed Riemann problem with delta shock for a hyperbolic system. The problem is different from the previous perturbed Riemann problems which have no delta shock.
Xinli Han, Lijun Pan
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The Riemann problem in gasdynamics
Electronic Journal of Differential Equations, 2009 In this note we give a proof of the existence of a solution to the Riemann problem in one-dimensional gasdynamics. Lax's 1957 paper on conservation laws leaves no doubt that such a solution exists, but it seems to us that there may be interest in a ...
Edward Daire Conway +1 more
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Riemann–Hilbert boundary value problem for multidimensional elliptic systems of equations
Lietuvos Matematikos Rinkinys, 2023 Multidimensional analogues of Cauchy–Riemann quations and of Riemann–Hilbert boundary value problem are studied. Their relation to the scalar boundary value problem is demonstrated.
Eugenijus Paliokas
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RIEMANN BOUNDARY-VALUE PROBLEM ON CASSINI SPIRALS
Проблемы анализа, 2021 Recently, a number of papers has been published concerning the Riemann boundary-value problems on spiral-like arcs. In all these works, the spiral has the shape close to concentric circles, i. e., with equal rates of torsion in all directions.
L. Zhixin, B. A. Kats
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Results in Physics, 2019 We concern with the Riemann problem for one-dimensional inviscid and isentropic flow of a mixture of a non-ideal gas with small solid particles. The expressions of elementary wave curves are established.
Yicheng Pang +3 more
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Современная математика: Фундаментальные направления, 2023 An explicit form of weak solutions to the Riemann problem for a degenerate nonlinear parabolic equation with a piecewise constant diffusion coe cient is found.
E. Yu. Panov
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The Riemann problem for a one-dimensional nonlinear wave system with different gamma laws
Boundary Value Problems, 2017 The Riemann problem for a one-dimensional nonlinear wave system with different gamma laws is considered. By the properties of wave curves, we observe that this system does not contain the composite wave compared to the barotropic models of gas dynamics ...
Guodong Wang, Jia-Bao Liu, Lin Zhao
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Advances in Mathematical Physics, 2017 The Riemann problem for a special Keyfitz-Kranzer system is investigated and then seven different Riemann solutions are constructed. When the initial data are chosen as three piecewise constant states under suitable assumptions, the global solutions to ...
Yuhao Jiang, Chun Shen
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