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Advances in Mathematical Physics, 2019 We analyze the appearance of delta shock wave and vacuum state in the vanishing pressure limit of Riemann solutions to the non-isentropic generalized Chaplygin gas equations.
Qixia Ding, Lihui Guo
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Vanishing viscosity limit for Riemann solutions to zero-pressure gas dynamics with flux perturbation
Boundary Value Problems, 2018 In this paper, by the viscosity vanishing approach, we consider the Riemann problem for zero-pressure gas dynamics with flux perturbation. The Riemann solutions involve parameterized delta shock wave and constant density state.
Yanyan Zhang, Jingen Yang
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Studies of dissipative standing shock waves around black holes [PDF]
, 2009 We investigate the dynamical structure of advective accretion flow around stationary as well as rotating black holes. For a suitable choice of input parameters, such as, accretion rate ($\dot {\cal M}$) and angular momentum ($\lambda$), global accretion ...
Chakrabarti +18 more
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Aquaculture Reports, 2022 As global climate changes, severely temperature variations have significant impacts on survival and development of fish. While the potential effects of light wavelength on cold shock and associated mechanisms remain largely unknown in fish.
Li-Bin Peng +7 more
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Energy partition at the collapse of spherical cavitation bubbles [PDF]
, 2012 Spherically collapsing cavitation bubbles produce a shock wave followed by a rebound bubble. Here we present a systematic investigation of the energy partition between the rebound and the shock.
de Bosset, Aurele +5 more
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Pressureless Magnetohydrodynamics System: Riemann Problem and Vanishing Magnetic Field Limit
Advances in Mathematical Physics, 2020 This paper proposes the pressureless magnetohydrodynamics (MHD) system by neglecting the effect of pressure difference in the MHD system. Firstly, the Riemann problem for the pressureless MHD system is solved with five kinds of structures of solutions ...
Shiwei Li, Hongjun Cheng, Hanchun Yang
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Advances in Mathematical Physics, 2013 This paper is devoted to the study of delta shock waves for a hyperbolic system of conservation laws of Keyfitz-Kranzer type with two linearly degenerate characteristics. The Riemann problem is solved constructively. The Riemann solutions include exactly
Hongjun Cheng
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Detecting and mitigating simultaneous waves of COVID-19 infections
Scientific Reports, 2022 The sudden spread of COVID-19 infections in a region can catch its healthcare system by surprise. Can one anticipate such a spread and allow healthcare administrators to prepare for a surge a priori?
Sebastian Souyris +6 more
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Phase effects in neutrino conversions during a supernova shock wave
, 2007 Neutrinos escaping from a core collapse supernova a few seconds after bounce pass through the shock wave, where they may encounter one or more resonances corresponding to $\Delta m^2_{\rm atm}$.
Amol Dighe +5 more
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One-dimensional nonlinear chromatography system and delta-shock waves [PDF]
Zeitschrift für angewandte Mathematik und Physik, 2013 The author considers the Riemann problem for the following nonlinear chromatography system \[ \partial_t u+\partial_x\bigl(u/(1-u+v)\bigr)= \partial_t v+\partial_x\bigl(v/(1-u+v)\bigr)=0 \] and proves existence of a weak solution, which may contain delta-shock waves in the both components \(u,v\).
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