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20142024
most citedBlow-up of a hyperbolic equation of viscoelasticity with supercritical nonlinearities

1 citations · 1 across the 3 of their papers we have counts for

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3 papers

math.AP2024

Inertial manifolds for the two-dimensional hyperviscous Navier-Stokes equations

Yanqiu Guo

This study establishes the existence of inertial manifolds for the hyperviscous Navier-Stokes equations (HNSE) on a 2D periodic domain: \begin{equation*} \partial_t u+ ν(-Δ) ^βu+(u…

math.AP2016★ 1 cited

Blow-up of a hyperbolic equation of viscoelasticity with supercritical nonlinearities

Yanqiu Guo, Mohammad A. Rammaha, Sawanya Sakuntasathien

We investigate a hyperbolic PDE, modeling wave propagation in viscoelastic media, under the influence of a linear memory term of Boltzmann type, and a nonlinear damping modeling fr…

math.DS2014

Inertial Manifolds for Certain Sub-Grid Scale -Models of Turbulence

Mohammad Abu Hamed, Yanqiu Guo, Edriss S. Titi

In this note we prove the existence of an inertial manifold, i.e., a global invariant, exponentially attracting, finite-dimensional smooth manifold, for two different sub-grid scal…