Results 61 to 70 of about 2,827 (129)
Alexandria Engineering Journal, 2023 In this article, we discuss various solitary wave solutions that are extremely important in applied mathematics. In order to construct accurate solution to nonlinear fractional PDEs, we have employed the Khater technique to nonlinear equation for 3 ...
Asghar Ali, Jamshad Ahmad, Sara Javed
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On the Leray-Hopf Extension Condition for the Steady-State Navier-Stokes Problem in Multiply-Connected Bounded Domains [PDF]
, 2013 Employing the approach of A. Takeshita [Pacific J. Math., Vol. 157 (1993), 151--158], we give an elementary proof of the invalidity of the Leray-Hopf Extension Condition for certain multiply connected bounded domains of R^n, n=2,3, whenever the flow ...
Galdi, Giovanni P.
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Advances in Nonlinear AnalysisThis article verifies the low Mach number and non-resistive limit of local strong solutions to non-isentropic compressible magnetohydrodynamic (MHD) equations in general three-dimensional bounded domains when the temperature variation is large but finite.
Liang Min, Ou Yaobin
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The Oberbeck--Boussinesq Approximation as a Constitutive Limit
, 2015 We derive the usual Oberbeck--Boussinesq approximation as a constitutive limit of the full system describing the motion of an compressible linearly viscous fluid. To this end the starting system is written, using the Gibbs free energy, in the variables $\
Kagei, Yoshiyuki, Ruzicka, Michael
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Advances in Nonlinear AnalysisThis article shows time-asymptotic nonlinear stability of rarefaction wave to the Cauchy problem for the one-dimensional relaxed compressible Navier-Stokes equations with density-dependent viscosity.
Zhang Nangao
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Hamiltonian Approach to Internal Wave-Current Interactions in a Two-Media Fluid with a Rigid Lid [PDF]
, 2015 We examine a two-media 2-dimensional fluid system consisting of a lower medium bounded underneath by a flatbed and an upper medium with a free surface with wind generated surface waves but considered bounded above by a lid by an assumption that surface ...
Compelli, Alan, Ivanov, Rossen
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Single peaked traveling wave solutions to a generalized μ-Novikov Equation
Advances in Nonlinear Analysis, 2020 In this paper, we study the existence of peaked traveling wave solution of the generalized μ-Novikov equation with nonlocal cubic and quadratic nonlinearities.
Moon Byungsoo
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Remarks on the Minimizing Geodesic Problem in Inviscid Incompressible Fluid Mechanics [PDF]
, 2010 We consider $L^2$ minimizing geodesics along the group of volume preserving maps $SDiff(D)$ of a given 3-dimensional domain $D$. The corresponding curves describe the motion of an ideal incompressible fluid inside $D$ and are (formally) solutions of the ...
Brenier, Yann
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An Energetic Variational Approach for ion transport
, 2014 The transport and distribution of charged particles are crucial in the study of many physical and biological problems. In this paper, we employ an Energy Variational Approach to derive the coupled Poisson-Nernst-Planck-Navier-Stokes system.
Liu, Chun, Sheng, Ping, Xu, Shixin
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Computational and Mathematical BiophysicsThis study presents a comprehensive mathematical framework that applies fluid dynamics to model the spatial spread of infectious diseases with low mortality rates.
Nnaji Daniel Ugochukwu +4 more
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