Results 21 to 30 of about 676 (52)
, 2019 The aim of this work is to prove an existence and uniqueness result of Kato-Fujita type for the Navier-Stokes equations, in vorticity form, in $2-D$ and $3-D$, perturbed by a gradient type multiplicative Gaussian noise (for sufficiently small initial ...
Munteanu, Ionut, Roeckner, Michael
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On the global large regular solutions of the 1D degenerate compressible Navier-Stokes equations
Advances in Nonlinear AnalysisWhen the viscosity coefficients depend on the mass density ρ\rho in the power ρδ(δ>0){\rho }^{\delta }\left(\delta \gt 0), the existence of smooth solutions with vacuum of the compressible Navier-Stokes equations have received extensive attentions in ...
Cao Yue, Jiang Xun, Xi Shuai
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A regularity result for incompressible elastodynamics equations in the ALE coordinates
Advanced Nonlinear StudiesWe consider incompressible inviscid elastodynamics equations with a free surface and establish regularity of solutions for these equations. Compared with previous result on this free boundary problem [X. Gu and F.
Xie Binqiang
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Relativistic Burgers equations on curved spacetimes. Derivation and finite volume approximation
, 2012 Within the class of nonlinear hyperbolic balance laws posed on a curved spacetime (endowed with a volume form), we identify a hyperbolic balance law that enjoys the same Lorentz invariance property as the one satisfied by the Euler equations of ...
LeFloch, Philippe G. +2 more
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Existence and stability of contact discontinuities to piston problems
Advances in Nonlinear AnalysisThis study investigates the existence and stability of the contact discontinuity to a piston problem, which is governed by one-dimensional compressible Euler equations under the condition of zero relative velocity between the piston and tube gas.
Zhang Xiaomin, Yu Huimin
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Smooth imploding solutions for 3D compressible fluids
Forum of Mathematics, PiBuilding upon the pioneering work of Merle, Raphaël, Rodnianski and Szeftel [67, 68, 69], we construct exact, smooth self-similar imploding solutions to the 3D isentropic compressible Euler equations for ideal gases for all adiabatic exponents ...
Tristan Buckmaster +2 more
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Loss of Regularity of Solutions of the Lighthill Problem for Shock Diffraction for Potential Flow
, 2020 We are concerned with the suitability of the main models of compressible fluid dynamics for the Lighthill problem for shock diffraction by a convex corned wedge, by studying the regularity of solutions of the problem, which can be formulated as a free ...
Chen, Gui-Qiang +3 more
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Advances in Nonlinear AnalysisThe compressible Navier-Stokes-Smoluchowski equations under investigation concern the behavior of the mixture of fluid and particles at a macroscopic scale. We devote to the existence of the global classical solution near the stationary solution based on
Tong Leilei
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Asymptotic analysis of Leray solution for the incompressible NSE with damping
Demonstratio MathematicaIn 2008, Cai and Jiu showed that the Cauchy problem of the Navier-Stokes equations, with damping α∣u∣β−1u\alpha {| u| }^{\beta -1}u for α>0\alpha \gt 0 and β≥1\beta \ge 1 has global weak solutions in L2(R3){L}^{2}\left({{\mathbb{R}}}^{3}).
Blel Mongi, Benameur Jamel
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Demonstratio MathematicaIn this paper, we consider the non-isentropic compressible Euler equations with time-dependent damping −α(t)u in one space ...
Sui Ying, Li Zhiyu, Zhang Jianzhong
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