Results 31 to 40 of about 8,054 (259)
Multiple-Pole Solutions to a Semidiscrete Modified Korteweg-de Vries Equation
Advances in Mathematical Physics, 2019 Multiple-pole soliton solutions to a semidiscrete modified Korteweg-de Vries equation are derived by virtue of the Riemann-Hilbert problem with higher-order zeros.
Zhixing Xiao, Kang Li, Junyi Zhu
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Riemann boundary-value problem for doubly-periodic bianalytic functions
Boundary Value Problems, 2018 In this paper, we study Riemann boundary-value problem for doubly-periodic bianalytic functions. By the decomposition of doubly-periodic polyanalytic functions, the problem is transformed into two equivalent and independent Riemann boundary-value ...
Huili Han, Hua Liu, Yufeng Wang
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International Journal for Numerical Methods in Fluids, EarlyView.We introduce new efficient and accurate first order finite volume‐type numerical schemes, for the non‐conservative one‐dimensional blood flow equations with transport, taking into account different velocity profiles. The framework is the flux‐vector splitting approach of Toro and Vázquez‐Cendón (2012), that splits the system in two subsystems of PDEs ...
Alessandra Spilimbergo +3 more
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International Journal for Numerical Methods in Fluids, EarlyView.The proposed work implements a direct flux reconstruction method for spatial discretization and a stiffness‐resilient exponential time integration method for temporal discretization on the cube‐sphere grid. A space‐time tensor formalism is employed to provide a general representation in any curvilinear coordinate system. This combination enables highly
Stéphane Gaudreault +6 more
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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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A scalar Riemann-Hilbert problem on the torus: Applications to the KdV equation [PDF]
, 2021 Mateusz Piorkowski, Gerald Teschl
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Mathematische Nachrichten, EarlyView.Abstract This paper is devoted to the approximation of two‐ and three‐dimensional Dirac operators HV∼δΣ$H_{\widetilde{V} \delta _\Sigma }$ with combinations of electrostatic and Lorentz scalar δ$\delta$‐shell interactions in the norm resolvent sense. Relying on results from Behrndt, Holzmann, and Stelzer‐Landauer [Math. Nachr.
Jussi Behrndt +2 more
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Analysis of the Stability of the Riemann Problem for a Simplified Model in Magnetogasdynamics
Advances in Mathematical Physics, 2016 The generalized Riemann problem for a simplified model of one-dimensional ideal gas in magnetogasdynamics in a neighborhood of the origin (t>0) in the (x,t) plane is considered.
Yujin Liu, Wenhua Sun
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A sharp companion of Ostrowski's inequality for the Riemann-Stieltjes integral and applications
Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, 2016 A sharp companion of Ostrowski's inequality for the Riemann-Stieltjes integral ∫ab f(t)du(t), where f is assumed to be of r-H-Hölder type on [a,b] and u is of bounded variation on [a,b], is proved.
Mohammad W. Alomari
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The Tacnode Riemann–Hilbert Problem [PDF]
Constructive Approximation, 2013 29 pages, 5 ...
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