Asymptotically almost periodic solutions to parabolic equations on the real hyperbolic manifold
DOI10.1016/j.jmaa.2022.126578zbMath1504.35242arXiv2109.08352OpenAlexW3199660589WikidataQ115570162 ScholiaQ115570162MaRDI QIDQ2674315
Publication date: 23 September 2022
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2109.08352
Navier-Stokes equationsexponential stabilityreal hyperbolic manifoldasymptotically almost periodic mild solutionvectorial heat equation
Asymptotic behavior of solutions to PDEs (35B40) Navier-Stokes equations for incompressible viscous fluids (76D05) Periodic solutions to PDEs (35B10) Heat equation (35K05) Navier-Stokes equations (35Q30) Existence problems for PDEs: global existence, local existence, non-existence (35A01) PDEs in connection with classical thermodynamics and heat transfer (35Q79) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) PDEs on manifolds (35R01)
Related Items (2)
Cites Work
- Unnamed Item
- Unnamed Item
- A general approach to time periodic incompressible viscous fluid flow problems
- Remarks on the weak formulation of the Navier-Stokes equations on the 2D hyperbolic space
- Boundedness and stability of solutions to semi-linear equations and applications to fluid dynamics
- The incompressible Navier-Stokes equations on non-compact manifolds
- The Fujita exponent for the Cauchy problem in the hyperbolic space
- Constantin and Iyer's representation formula for the Navier-Stokes equations on manifolds
- Nonuniqueness of solutions of the Navier-Stokes equations on Riemannian manifolds
- Partial differential equations. III: Nonlinear equations.
- On periodic and almost periodic solutions to incompressible viscous fluid flow problems on the whole line
- On stability of exterior stationary Navier-Stokes flows
- Periodic solutions of the Navier-Stokes equations in unbounded domains
- Nash embedding, shape operator and Navier-Stokes equation on a Riemannian manifold
- On periodic solutions of the incompressible Navier-Stokes equations on non-compact Riemannian manifolds
- Navier-Stokes equations on Riemannian manifolds
- Front propagation for nonlinear diffusion equations on the hyperbolic space
- Non-uniqueness of the Leray-Hopf solutions in the hyperbolic setting
- The formulation of the Navier-Stokes equations on Riemannian manifolds
- Boundedness, almost periodicity and stability of certain Navier-Stokes flows in unbounded domains
- Groups of diffeomorphisms and the motion of an incompressible fluid
- Periodic solutions to Navier-Stokes equations on non-compact Einstein manifolds with negative curvature
- A FUJITA-TYPE RESULT FOR A SEMILINEAR EQUATION IN HYPERBOLIC SPACE
- Estimation des projecteurs de De Rham Hodge de certaines variétés riemaniennes non compactes
- Navier-Stokes equations on Lipschitz domains in Riemannian manifolds.
This page was built for publication: Asymptotically almost periodic solutions to parabolic equations on the real hyperbolic manifold