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Navier-Stokes Equations
The choice of independent variables called spatial/Eulerian and material/Lagrangean description is explained and the incompressible and compressible...
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Classical and non-classical symmetries of time-fractional Navier–Stokes equation
In this paper, the time-fractional Navier–Stokes equation arising in unsteady flow of viscous fluid in the sense of Riemann–Liouville fractional...
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Navier–Stokes Equations in the Half Space with Non Compatible Data
This paper considers the Navier–Stokes equations in the half plane with Euler-type initial conditions, i.e., initial conditions with a non-zero...
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Effect of Random Environment on Kinetic Roughening: Kardar–Parisi–Zhang Model with a Static Noise Coupled to the Navier–Stokes Equation
AbstractKinetic roughening of a randomly growing surface can be modelled by the Kardar–Parisi–Zhang equation with a time-independent (“spatially...
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Gluing Non-unique Navier–Stokes Solutions
We construct non-unique Leray solutions of the forced Navier-Stokes equations in bounded domains via gluing methods. This demonstrates a certain...
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A Consistent Stochastic Large-Scale Representation of the Navier–Stokes Equations
In this paper we analyze the theoretical properties of a stochastic representation of the incompressible Navier–Stokes equations defined in the...
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On Symmetry Breaking for the Navier–Stokes Equations
Inspired by an open question by Chemin, Zhang and Zhang about the regularity of the 3D Navier–Stokes equations with one initially small component, we...
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Analysis of Navier–Stokes Models for Flows in Bidisperse Porous Media
Having in view a model proposed by Nield and Kuznetsov (Transp Porous Media 59:325–339, 2005; Transp Porous Media 96:495–499, 2013), we consider a...
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Smooth Controllability of the Navier–Stokes Equation with Navier Conditions: Application to Lagrangian Controllability
We deal with the 3D Navier–Stokes equation in a smooth simply connected bounded domain, with controls on a non-empty open part of the boundary and a...
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Epsilon Regularity for the Navier–Stokes Equations via Weak-Strong Uniqueness
We give a new concise proof of a certain one-scale epsilon regularity criterion using weak-strong uniqueness for solutions of the Navier–Stokes...
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An advanced algorithm for solving incompressible fluid dynamics: from Navier–Stokes to Poisson equations
In this study, an extensive exploration of numerical methods for tackling the complexities of unsteady incompressible flow dynamics is undertaken....
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Linear Instability Analysis on Compressible Navier–Stokes Equations with Strong Boundary Layer
A classical problem in fluid mechanics concerns the stability and instability of different hydrodynamic patterns in various physical settings,...
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Rotating convection in a higher gradient Navier–Stokes fluid
We present a model for thermal convection in a horizontal layer rotating about a vertical axis, when the fluid is an incompressible Navier–Stokes...
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Chaos in Stochastic 2d Galerkin-Navier–Stokes
We prove that all Galerkin truncations of the 2d stochastic Navier–Stokes equations in vorticity form on any rectangular torus subjected to...
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Global Existence and Weak-Strong Uniqueness for Chemotaxis Compressible Navier–Stokes Equations Modeling Vascular Network Formation
A model of vascular network formation is analyzed in a bounded domain, consisting of the compressible Navier–Stokes equations for the density of the...
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Allen–Cahn–Navier–Stokes–Voigt Systems with Moving Contact Lines
We consider a diffuse interface model for an incompressible binary fluid flow. The model consists of the Navier–Stokes–Voigt equations coupled with...
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Nonlinear stability for convection with temperature dependent viscosity in a Navier–Stokes–Voigt fluid
We present a model for thermal convection in a Navier–Stokes–Voigt fluid when the viscosity is a quadratic function of the temperature. Three...
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Tensor Application, Navier–Stokes Equation
TensorNavier–Stokes equation analysis plays a substantive role in finding exact solutions for laminar flows through channels with curved walls. In...