Results 51 to 60 of about 1,064 (118)
, 2019 These lectures introduce the method of nonlinear steepest descent for Riemann-Hilbert problems. This method finds use in studying asymptotics associated to a variety of special functions such as the Painlevé equations and orthogonal polynomials, in solving the inverse scattering problem for certain integrable systems, and in proving universality for ...
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, 2013 In this article we investigate the century-old continuous extension problem of the Riemann map. Let $G$ be a simply connected domain. We call $λ$ in $\partial G$ a multiple point if there are simply connected subdomains $ U$ and $V$ such that $λ\in\partial U \cap\partial V$ and $ dist (\partial U\cap G , \partial V\cap G )>0$.
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A Riemann problem with small viscosity and dispersion
Electronic Journal of Differential Equations, 2006 In this paper we prove existence of global solutions to a hyperbolic system in elastodynamics, with small viscosity and dispersion terms and derive estimates uniform in the viscosity-dispersion parameters.
Kayyunnapara Thomas Joseph
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Riemann Problem for a limiting system in elastodynamics
Electronic Journal of Differential Equations, 2014 This article concerns the resolution of the Riemann problem for a 2x2 system in nonconservative form exhibiting parabolic degeneracy. The system can be perceived as the limiting equation (depending on a parameter tending to 0) of a 2x2 strictly ...
Anupam Pal Choudhury
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Contact discontinuities in multi-dimensional isentropic Euler equations
Electronic Journal of Differential Equations, 2018 In this note we partially extend the recent nonuniqueness results on admissible weak solutions to the Riemann problem for the 2D compressible isentropic Euler equations.
Jan Brezina +2 more
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Electronic Journal of Differential Equations, 2016 We study the Riemann problem for a non-strictly hyperbolic system of conservation laws under the linear approximations of flux functions with three parameters.
Meina Sun
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On the isoperimetric problem in a riemann space
Commentarii Mathematici Helvetici, 1966 openaire +1 more source
ON THE DISCONTINUOUS RIEMANN-HILBERT PROBLEM
Demonstratio Mathematica, 1970 Łubowicz, Henryk, Wieprzkowicz, Bohdan
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Riemann boundary value problem for hyperanalytic functions
International Journal of Mathematics and Mathematical Sciences, 2005 Ricardo Abreu Blaya +2 more
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Riemann’s method and the problem of Cauchy [PDF]
Bulletin of the American Mathematical Society, 1951 openaire +3 more sources