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The Riemann-Hilbert Problem on the Riemann Surface
2019Here we reduce Eq. ( 15.11) to the Riemann-Hilbert problem. Let us recall that the function \(\hat v_{21}\) is meromorphic in \( \varPi _{-2\varPhi }^\pi \) by ( 15.9) and Lemma 15.2. Consider the strip $$\displaystyle W:=\varPi _{\pi -2\varPhi }^\pi .$$
Alexander Komech, Anatoli Merzon
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2013
This chapter is devoted to study the Riemann problems for scalar conservation laws in one space dimension. In particular, we introduce the definitions of entropy and non-entropy shock waves, rarefaction waves and contact discontinuities by first considering genuinely nonlinear characteristic fields, linearly degenerate characteristic fields and then ...
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This chapter is devoted to study the Riemann problems for scalar conservation laws in one space dimension. In particular, we introduce the definitions of entropy and non-entropy shock waves, rarefaction waves and contact discontinuities by first considering genuinely nonlinear characteristic fields, linearly degenerate characteristic fields and then ...
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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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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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RIEMANN BOUNDARY VALUE PROBLEM
1966This chapter discusses the principal problem of the theory of boundary value problems of analytic functions namely the Riemann boundary value problem. It reviews the concept of the index of a function, which is of great value as an auxiliary tool. Various assertions are made in the chapter—(1) the index of a function that is continuous on a closed ...
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Navigating financial toxicity in patients with cancer: A multidisciplinary management approach
Ca-A Cancer Journal for Clinicians, 2022Grace Li Smith +2 more
exaly
The Riemann‐Hilbert problem for finite riemann surfaces
Communications on Pure and Applied Mathematics, 1959openaire +2 more sources