On a local energy decay estimate of solutions to the hyperbolic type Stokes equations

DOI10.1016/j.jde.2018.01.029zbMath1388.35146OpenAlexW2792349355MaRDI QIDQ1704537

Kenji Nakamura, Takayuki Kobayashi, Takayuki Kubo

Publication date: 12 March 2018

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2018.01.029

zbMATH Keywords

exterior domainhyperbolic Navier Stokes equationslocal energy decay estimateperturbed half-space

Mathematics Subject Classification ID

Stokes and related (Oseen, etc.) flows (76D07) Second-order nonlinear hyperbolic equations (35L70) Navier-Stokes equations (35Q30)

Related Items (2)

Remarks on blowup of solutions for one‐dimensional compressible Navier–Stokes equations with Maxwell's law ⋮ Nonlocal hyperbolic Stokes system with variable exponent of nonlinearity

Cites Work

• A quasilinear delayed hyperbolic Navier-Stokes system: global solution, asymptotics and relaxation limit
• On the global existence of classical solutions of second order fully nonlinear hyperbolic equations with first order dissipation in the exterior domain
• Global \(L^ n\)-solution and its decay property for the Navier-Stokes equations in half-space \(R^ n_ +\)
• Strong \(L^ p\)-solutions of the Navier-Stokes equation in \(R^ m\), with applications to weak solutions
• Semigroups of linear operators and applications to partial differential equations
• \(L_ q-L_ r\) estimates for solutions of the nonstationary Stokes equation in an exterior domain and the Navier-Stokes initial value problems in \(L_ q\) spaces
• On the \(L_q-L_r\) estimates of the Stokes semigroup in a two-dimensional exterior domain
• Generalized resolvent estimates for the Stokes system in bounded and unbounded domains
• Hyperbolic Navier-Stokes equations. I: Local well-posedness
• Hyperbolic Navier-Stokes equations. II: Global existence of small solutions
• \(L^1\) estimates for dissipative wave equations in exterior domains
• On the Stokes and Navier-Stokes equations in a perturbed half-space
• An Introduction to the Mathematical Theory of the Navier-Stokes Equations
• A solution formula for the Stokes equation in Rn+
• Uniform Exponential Stability and Approximation in Control of a Thermoelastic System
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