Results 21 to 30 of about 1,732 (53)
A survey on some vanishing viscosity limit results
Advances in Nonlinear Analysis, 2023 We present a survey concerning the convergence, as the viscosity goes to zero, of the solutions to the three-dimensional evolutionary Navier-Stokes equations to solutions of the Euler equations.
Beirão da Veiga Hugo, Crispo Francesca
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On a viscous two-fluid channel flow including evaporation
Open Mathematics, 2018 In this contribution a particular plane steady-state channel flow including evaporation effects is investigated from analytical point of view. The channel is assumed to be horizontal.
Socolowsky Jürgen
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Optimality of Serrin type extension criteria to the Navier-Stokes equations
Advances in Nonlinear Analysis, 2021 We prove that a strong solution u to the Navier-Stokes equations on (0, T) can be extended if either u ∈ Lθ(0, T; U˙∞,1/θ,∞−α$\begin{array}{} \displaystyle \dot{U}^{-\alpha}_{\infty,1/\theta,\infty} \end{array}$) for 2/θ + α = 1, 0 < α < 1 or u ∈ L2(0, T;
Farwig Reinhard, Kanamaru Ryo
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Short-time existence of a quasi-stationary fluid–structure interaction problem for plaque growth
Advances in Nonlinear Analysis, 2023 We address a quasi-stationary fluid–structure interaction problem coupled with cell reactions and growth, which comes from the plaque formation during the stage of the atherosclerotic lesion in human arteries.
Abels Helmut, Liu Yadong
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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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Development of local, global, and trace estimates for the solutions of elliptic equations
, 2001 Abstract and Applied Analysis, Volume 6, Issue 3, Page 131-150, 2001.
Moulay D. Tidriri
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, 2014 In this paper, we investigate the analytical solutions of the compressible Navier-Stokes equations with dependent-density viscosity. By using the characteristic method, we successfully obtain a class of drifting solutions with elliptic symmetry for the ...
An, Hongli, Yuen, Manwai
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Analyticity and Existence of the Keller–Segel–Navier–Stokes Equations in Critical Besov Spaces
Advanced Nonlinear Studies, 2018 This paper deals with the Cauchy problem to the Keller–Segel model coupled with the incompressible 3-D Navier–Stokes equations. Based on so-called Gevrey regularity estimates, which are motivated by the works of Foias and Temam [20], we prove that the ...
Yang Minghua, Fu Zunwei, Liu Suying
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A Liouville theorem for the Degasperis-Procesi equation [PDF]
, 2015 We prove that the only global, strong, spatially periodic solution to the Degasperis-Procesi equation, vanishing at some point (t0, x0), is the identically zero solution.
Brandolese, Lorenzo
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On the analysis of a geometrically selective turbulence model
Advances in Nonlinear Analysis, 2020 In this paper we propose some new non-uniformly-elliptic/damping regularizations of the Navier-Stokes equations, with particular emphasis on the behavior of the vorticity. We consider regularized systems which are inspired by the Baldwin-Lomax and by the
Chorfi Nejmeddine +2 more
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