Results 31 to 40 of about 11,401 (255)
Modified algorithm of the Riemann problem solution [PDF]
The algorithm for solving the Riemann problem is considered in detail in the article. The statement of the Riemann problem is presented. The limitations of the algorithm described above and possible ways to overcome them are revealed.
S. V. Denisov +4 more
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Riemann problem for gasdynamic combustion [PDF]
The Riemann problem for gasdynamic combustion is considered. Existence and uniqueness are obtained constructively for arbitrary Riemann data under the following restrictions: the solutions are selfsimilar and piecewise smooth; the Lax entropy condition ...
Zheng, Yuxi, Zhang, Tong
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This paper aims to present an application of the Riemann–Hilbert approach to treat higher-order nonlinear differential equation that is an eighth-order nonlinear Schrödinger equation arising in an optical fiber. Starting from the spectral analysis of the
Zhou-Zheng Kang +2 more
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We construct the solutions to the Riemann problem for the isentropic extended Chaplygin gas dynamic system for all kinds of situations by the phase plane analysis.
Meizi Tong, Chun Shen, Xiuli Lin
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The Riemann problem for a generalized Burgers equation with spatially decaying sound speed. I Large‐time asymptotics [PDF]
In this paper, we consider the classical Riemann problem for a generalized Burgers equation, u t + h α ( x ) u u x = u x x , with a spatially dependent, nonlinear sound speed, h α ( x ) ≡ ( 1 + x 2 ) − α with α > 0 , which decays algebraically with ...
Catherine Drysdale +9 more
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Resorting to the spectral analysis of the 4 × 4 matrix spectral problem, we construct a 4 × 4 matrix Riemann–Hilbert problem to solve the initial value problem for the Hermitian symmetric space derivative nonlinear Schrödinger equation.
Chen Mingming, Geng Xianguo, Liu Huan
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Riemann Problem for Shallow Water Equation with Vegetation
We investigate the existence of the solution of the Riemann Problem for a simplified water ow model on a vegetated surface - system of shallow water type equations. It is known that the system with discontinuous topography is non-conservative even if the
Ion Stelian +2 more
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On spectral question of the Cauchy-Riemann operator with homogeneous boundary value conditions
In this paper we consider the eigenvalue problem for the Cauchy - Riemann operator with homogeneous Dirichlet type boundary conditions. The statement of the problem is justified to the theorem of M. Otelbaev and A.N.
N.S. Imanbaev, B.E. Kanguzhin
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ABSTRACT Internalizing and externalizing problems are highly prevalent among children and adolescents, with higher rates observed particularly among those with neurodevelopmental disorders. Previous studies have identified deficits in social competence and executive functioning (EF) as predictive factors of internalizing and externalizing problems, and
Samina I. Ansari +3 more
wiley +1 more source
ABC Conjecture and Riemann Hypothesis [PDF]
In this paper, we consider two great unproven problems in mathematics in the language of inequalities; ABC conjecture and Riemann hypothesis. It is shown that the Riemann hypothesis is true in some initial cases.
Hassani, Mehdi
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