Results 1 to 10 of about 651 (29)
Advanced Nonlinear Studies, 2022 The Chaplygin gas model is both interesting and important in the theory of gas dynamics and conservation laws, all the characteristic families of which are linearly degenerate. Majda conjectured that the shock formation never happens for smooth data.
Wei Dongyi, Zhang Zhifei, Zhao Wenbin
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Asymptotic study of Leray solution of 3D-Navier-Stokes equations with exponential damping
Demonstratio Mathematica, 2023 We study the uniqueness, the continuity in L2{L}^{2}, and the large time decay for the Leray solutions of the 3D incompressible Navier-Stokes equations with the nonlinear exponential damping term a(eb∣u∣2−1)ua\left({e}^{b| u{| }^{{\bf{2}}}}-1)u, (a,b>0a ...
Blel Mongi, Benameur Jamel
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On non-resistive limit of 1D MHD equations with no vacuum at infinity
Advances in Nonlinear Analysis, 2021 In this paper, the Cauchy problem for the one-dimensional compressible isentropic magnetohydrodynamic (MHD) equations with no vacuum at infinity is considered, but the initial vacuum can be permitted inside the region. By deriving a priori ν (resistivity
Li Zilai, Wang Huaqiao, Ye Yulin
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Global weak solution of 3D-NSE with exponential damping
Open Mathematics, 2022 In this paper, we prove the global existence of incompressible Navier-Stokes equations with damping α(eβ∣u∣2−1)u\alpha \left({e}^{\beta | u{| }^{2}}-1)u, where we use the Friedrich method and some new tools.
Benameur Jamel
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Perturbational Blowup Solutions to the 2-Component Camassa-Holm Equations [PDF]
, 2010 In this article, we study the perturbational method to construct the non-radially symmetric solutions of the compressible 2-component Camassa-Holm equations.
Camassa +25 more
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Pointwise wave behavior of the Navier-Stokes equations in half space [PDF]
, 1952 In this paper, we investigate the pointwise behavior of the solution for the compressible Navier-Stokes equations with mixed boundary condition in half space. Our results show that the leading order of Green's function for the linear system in half space
Du, Linglong, Wang, Haitao
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Global Strong solution with vacuum to the 2D nonhomogeneous incompressible MHD system [PDF]
, 2012 In this paper, we first prove the unique global strong solution with vacuum to the two dimensional nonhomogeneous incompressible MHD system, as long as the initial data satisfies some compatibility condition.
Abidi +32 more
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Open Mathematics, 2018 We study the initial boundary value problem of a compressible non-Newtonian fluid. The system describes the motion of the compressible viscous isentropic gas flow driven by the non-Newtonian self-gravitational force. The existence of strong solutions are
Song Yukun, Chen Shuai, Liu Fengming
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On the complete phase synchronization for the Kuramoto model in the mean-field limit [PDF]
, 2014 We study the Kuramoto model for coupled oscillators. For the case of identical natural frequencies, we give a new proof of the complete frequency synchronization for all initial data; extending this result to the continuous version of the model, we ...
Benedetto, Dario +2 more
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, 2011 Based on Makino's solutions with radially symmetry, we extend the corresponding ones with elliptic symmetry for the compressible Euler and Navier-Stokes equations in R^{N} (N\geq2).
Yuen, Manwai
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