The Riemann Problem
Analytical and numerical methods for the Riemann problem
... the Riemann problem for the unit ...the Riemann problem without the need to use any conformal ...the Riemann problem on reducing the Riemann problem to the Hilbert ...
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The Riemann Problem for the Simplified Combustion Model in Magnetogasdynamics
... The Riemann Problem for the Simplified Combustion Model in Magnetogasdynamics Yujin Liu and Wenhua Sun Abstract—The Riemann problem for conservation laws in magnetogasdynamics with combustion ...
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The Riemann problem of the Burgers equation with a discontinuous source term
... 1. Introduction In this paper, we are concerned with the Riemann problem of the Burgers equation with a discontinuous source term. There are quite a number of physical phenomena that can be described by ...
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Multiple Solutions for the Riemann Problem in the Porous Shallow Water Equations
... the Riemann fluxes at the interface between ...one-dimensional Riemann problem over the dry bed, and it is shown that the solution always exists, but there are initial conditions for which it is not ...
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Modification of the Riemann problem and the application for the boundary conditions in computational fluid dynamics
... fundamental problem in this area is the solution of the so-called Riemann problem for the split Euler ...elementary problem of the one-dimensional conservation laws with the given initial ...
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The Riemann problem for a one-dimensional nonlinear wave system with different gamma laws
... The Riemann problem for a one-dimensional nonlinear wave system with different gamma laws is ...the Riemann solution is ...generalized Riemann problem and discover that the ...
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On an effective solution of the Riemann problem for the second order improperly elliptic equation in the rectangle
... the Riemann problem for the second-order improperly elliptic ...this problem to boundary value problems for properly elliptic equations, and after that we solve these problems by the grid ...
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The Riemann problem for the Leray–Burgers equation
... For Riemann data consisting of a single decreasing jump, we find that the Leray regularization captures the correct shock solution of the inviscid Burgers ...for Riemann data consisting of a single ...
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The Generalized Riemann Problem for Chaplygin Gas with Combustion
... When q + = q − = 0 , the gas on both sides are burnt and there is no combus- tion wave. The Riemann problem is resolved in [13]. When q + and q − are not both zero, combustion wave will occur. For sim- ...
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Riemann boundary value problem for hyperanalytic functions
... the Riemann boundary problem for an- alytic functions is technically involved with the Cauchy-type integral which, by taking boundary values, led to the Sokhotski-Plemelj ...the Riemann ...
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Lax Entropy Conditions for the One-Dimensional Riemann Problem
... One-Dimensional Riemann Problem Numerically In this chapter different methods of solving the Riemann problem will be ...the Riemann problem to improve the method ...
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GENERALIZED RIEMANN PROBLEM FOR A TOTALLY DEGENERATE HYPERBOLIC SYSTEM
... the Riemann problem ...first problem, we choose V − = (ω l , ν l , κ l ), V + = (ω m , ν m , κ m ) and using ...first Riemann problem are separated by the lines ← y − 1 = −st+a, y = a ...
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Riemann problem for a compressible perfect fluid with a constant external force for the Chaplygin gas
... the Riemann problem for a compressible perfect fluid with a con- stant external force for the Chaplygin ...the Riemann problem for system ...
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The Tacnode Riemann–Hilbert Problem
... 2 y 2 is considered. For these potentials the correlation kernel of the eigenvalues of M 1 , when averaged over M 2 , is expressible in terms of a Riemann-Hilbert problem of size 4 × 4 that depends on the ...
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The Riemann Hypothesis Millennium Prize Problem
... Karaganda State University, Karagandy, Kazakhstan Abstract This work is dedicated to the promotion of the results C. Muntz obtained modifying zeta functions. The properties of zeta functions are studied; these properties ...
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A Riemann–Hilbert problem for biorthogonal polynomials
... a Riemann–Hilbert problem.Our Riemann–Hilbert problem is different from the ones that were proposed recently by Ercolani and McLaughlin, Kapaev, and Bertola et ...
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A Riemann–Hilbert problem for uncoupled BPS structures
... this problem. This is the content of a work in progress [2]. Riemann–Hilbert problems are inverse problems in the theory of differential ...a Riemann–Hilbert problem with values ...
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The Inconsistency Problem of Riemann Zeta Function Equation
... The Riemann hypothesis is proved to be meaningless, which is unexpected by most people. The problem lied in Riemann's original paper of 1859. In the Riemann’s deduction, two formulas were improperly used ...
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Riemann-Hilbert problem associated with Angelesco systems
... Angelesco systems of measures with Jacobi type weights are considered. For such systems, strong asymptotics for the related multiple orthogonal polynomials are found as well as the Szeg˝o-type functions. In the ...
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Riemann-Hilbert problem associated with Angelesco systems
... A. BRANQUINHO, U. FIDALGO PRIETO AND A. FOULQUI´ E MORENO Abstract: Angelesco systems of measures with Jacobi type weights are consid- ered. For such systems, strong asymptotic development expressions for sequences of ...
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