Gevrey regularity for a class of dissipative equations with applications to decay
From MaRDI portal
Publication:454888
DOI10.1016/j.jde.2012.08.003zbMath1247.35009OpenAlexW2055955731MaRDI QIDQ454888
Publication date: 10 October 2012
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2012.08.003
Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) PDEs in connection with geophysics (35Q86)
Related Items (22)
Gevrey regularity and existence of Navier-Stokes-Nernst-Planck-Poisson system in critical Besov spaces ⋮ Analytical smoothing effect of solution for the Boussinesq equations ⋮ Analyticity and existence of the Keller-Segel-Navier-Stokes equations in critical Besov spaces ⋮ Distribution of large value points via frequency and wellposedness of Navier-Stokes equations ⋮ Lower bounds on the radius of spatial analyticity for the higher order nonlinear dispersive equation on the real line ⋮ Global zero-relaxation limit problem of the electro-diffusion model arising in electro-hydrodynamics ⋮ Existence and analyticity of the Lei-Lin solution of the Navier-Stokes equations on the torus ⋮ Gevrey class regularity and stability for the Debye-H¨uckel system in critical Fourier-Besov-Morrey spaces ⋮ Upper and lower \(\dot{H}^m\) estimates for solutions to parabolic equations ⋮ Existence and Gevrey regularity for a two-species chemotaxis system in homogeneous Besov spaces ⋮ Existence and analytic regularity of certain solutions for the generalized BBM-Burgers equation in $\mathbb R^n$ ⋮ Persistence time of solutions of the three-dimensional Navier-Stokes equations in Sobolev-Gevrey classes ⋮ Algebra properties in Fourier-Besov spaces and their applications ⋮ On the existence, uniqueness, and smoothing of solutions to the generalized SQG equations in critical Sobolev spaces ⋮ On Gevrey regularity of the supercritical SQG equation in critical Besov spaces ⋮ Spatial analyticity of solutions to Keller-Segel equation of parabolic-elliptic type ⋮ Existence time for the 3D Navier-Stokes equations in a generalized Gevrey class ⋮ Gevrey regularity for the supercritical quasi-geostrophic equation ⋮ On the regularity and convergence of solutions to the 3D Navier-Stokes-Voigt equations ⋮ Gevrey regularity of mild solutions to the parabolic-elliptic system of drift-diffusion type in critical Besov spaces ⋮ On unique continuation for Navier-Stokes equations ⋮ Dissipation length scale estimates for turbulent flows: a Wiener algebra approach
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Strong \(L^ p\)-solutions of the Navier-Stokes equation in \(R^ m\), with applications to weak solutions
- Optimal bounds on the Kuramoto-Sivashinsky equation
- Existence and uniqueness of the solution to the dissipative 2D quasi-geostrophic equations in the Sobolev space
- Trivial stationary solutions to the Kuramoto-Sivashinsky and certain nonlinear elliptic equations
- Global well-posedness for the critical 2D dissipative quasi-geostrophic equation
- Gevrey class regularity for the solutions of the Navier-Stokes equations
- Smallest scale estimates for the Navier-Stokes equations for incompressible fluids
- Spatial analyticity of the solutions to the subcritical dissipative quasi-geostrophic equations
- On local uniqueness of weak solutions to the Navier-Stokes system with \(\mathrm{BMO}^{-1}\) initial datum
- Smoothness of Koch-Tataru solutions to the Navier-Stokes equations revisited
- Drift diffusion equations with fractional diffusion and the quasi-geostrophic equation
- Existence and generalized Gevrey regularity of solutions to the Kuramoto-Sivashinsky equation in \(\mathbb R^n\)
- Solutions in \(L_ r\) of the Navier-Stokes initial value problem
- \(L^ 2\) decay for weak solutions of the Navier-Stokes equations
- The Navier-Stokes initial value problem in \(L^ p\).
- Some analytic and geometric properties of the solutions of the evolution Navier-Stokes equations
- The Navier-Stokes equations on the rotating 2-D sphere: Gevrey regularity and asymptotic degrees of freedom
- Infinite-dimensional dynamical systems in mechanics and physics.
- Space analyticity for the Navier-Stokes and related equations with initial data in \(L^p\)
- On the regularity of the bilinear term for solutions to the incompressible Navier-Stokes equations
- Level sets of the vorticity and the stream function for the 2D periodic Navier-Stokes equations with potential forces
- Remark on the rate of decay of higher order derivatives for solutions to the Navier-Stokes equations in \(\mathbb{R}^n\)
- Dissipative quasi-geostrophic equations in critical Sobolev spaces: smoothing effect and global well-posedness
- Effective estimates of the higher Sobolev norms for the Kuramoto-Sivashinsky equation
- On the Navier-Stokes initial value problem. I
- The maximum principle and the global attractor for the dissipative 2D quasi-geostrophic equations
- Convolution Theorems with Weights
- Nonlinear analytic semiflows
- The asymptotic behaviour of subcritical dissipative quasi-geostrophic equations
- Navier–Stokes Equations and Weighted Convolution Inequalities in Groups
- On the Global Well-Posedness of the Critical Quasi-Geostrophic Equation
- Lower Bounds of Rates of Decay for Solutions to the Navier-Stokes Equations
- Large Time Behaviour of Solutions to the Navier-Stokes Equations in H Spaces
- Cascades aléatoires et équations de Navier-Stokes
- Exponential decay rate of the power spectrum for solutions of the Navier–Stokes equations
- The geometric structure of the super-level sets and regularity for 3D Navier-Stokes equations
- Global Solutions of the 2D Dissipative Quasi-Geostrophic Equation in Besov Spaces
- Behavior of Solutions of 2D Quasi-Geostrophic Equations
- On the dissipative scale for the Navier-Stokes equation
- Navier-stokes flow in r3with measures as initial vorticity and morrey spaces
- On the decay of higher-order norms of the solutions of Navier–Stokes equations
- Global mild solutions of Navier‐Stokes equations
- Gevrey regularity of solutions to the 3-D Navier-Stokes equations with weighted $l_p$ initial data
- Global well-posedness of dissipative quasi-geostrophic equations in critical spaces
- Regularity of Solutions to the Navier-Stokes Equations Evolving from Small Data in BMO−1
- On the analyticity and the unique continuation theorem for solutions of the Navier-Stokes equation
- Dissipativity and Gevrey regularity of a Smoluchowski equation
- Well-posedness for the Navier-Stokes equations
This page was built for publication: Gevrey regularity for a class of dissipative equations with applications to decay
