Lower bounds on mixing norms for the advection diffusion equation in \(\mathbb{R}^d\)
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Publication:2075810
DOI10.1007/s00030-021-00744-1OpenAlexW3033561137MaRDI QIDQ2075810
Steffen Pottel, Camilla Nobili
Publication date: 16 February 2022
Published in: NoDEA. Nonlinear Differential Equations and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2006.04614
Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Diffusion (76R50) Heat equation (35K05) Initial value problems for second-order parabolic equations (35K15) Heat kernel (35K08)
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Cites Work
- Stability analysis of nonlinear systems
- A lower bound for fundamental solutions of the heat convection equations
- Poincaré's inequality and diffusive evolution equations
- \(L^ 2\) decay for weak solutions of the Navier-Stokes equations
- Large time behavior for convection-diffusion equations in \(\mathbb{R}{} ^ N\)
- Convection-enhanced diffusion for random flows
- Large time behavior for convection-diffusion equations in \(\mathbb{R}^N\) with periodic coefficients
- A shell model for optimal mixing
- Optimal smoothing and decay estimates for viscously damped conservation laws, with applications to the 2-D Navier-Stokes equation
- Well-posedness and large time behavior of solutions for the electron inertial Hall-MHD system
- Separation of time-scales in drift-diffusion equations on \(\mathbb{R}^2\)
- Decay characterization of solutions to Navier-Stokes-Voigt equations in terms of the initial datum
- Almost-sure enhanced dissipation and uniform-in-diffusivity exponential mixing for advection-diffusion by stochastic Navier-Stokes
- Asymptotic Profiles of Nonstationary Incompressible Navier--Stokes Flows in the Whole Space
- Characterization of Solutions to Dissipative Systems with Sharp Algebraic Decay
- Decay of solutions to dissipative modified quasi-geostrophic equations
- Large time decay and growth for solutions of a viscous Boussinesq system
- Optimal stirring strategies for passive scalar mixing
- Using multiscale norms to quantify mixing and transport
- Large time behaviour of solutions to the navier-stokes equations
- Lower Bounds of Rates of Decay for Solutions to the Navier-Stokes Equations
- Convection Enhanced Diffusion for Periodic Flows
- Asymptotic Behavior to Dissipative Quasi-Geostrophic Flows
- Diffusion-limited mixing by incompressible flows
- Decay characterization of solutions to the viscous Camassa–Holm equations
- Decay characterization of solutions to dissipative equations
- Limitations of the background field method applied to Rayleigh-Bénard convection
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