Nonlinear enhanced dissipation in viscous Burgers type equations II

DOI10.1080/03605302.2023.2277453arXiv2211.16844MaRDI QIDQ6182221

Nader Masmoudi, Tej-Eddine Ghoul, Eliot Pacherie

Publication date: 23 January 2024

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2211.16844

zbMATH Keywords

nonlinear analysisasymptotic profilesself similar transformations

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Attractors (35B41) KdV equations (Korteweg-de Vries equations) (35Q53) Heat equation (35K05) Self-similar solutions to PDEs (35C06) PDEs in connection with classical thermodynamics and heat transfer (35Q79)

Cites Work

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• Enhanced dissipation, hypoellipticity, and anomalous small noise inviscid limits in shear flows
• Higher order asymptotic for Burgers equation and adhesion model
• Large time behavior for convection-diffusion equations in \(\mathbb{R}{} ^ N\)
• Weakly nonlinear large time behavior in scalar convection-diffusion equations
• Linear inviscid damping and enhanced viscous dissipation of shear flows by using the conjugate operator method
• Enhanced dissipation in the Navier-Stokes equations near the Poiseuille flow
• Asymptotic behavior of solutions to the viscous Burgers equation
• Diffusion and mixing in fluid flow
• Long time behavior of parabolic scalar conservation laws with space periodic flux
• On the Relation between Enhanced Dissipation Timescales and Mixing Rates
• The partial differential equation u_t + uu_x = μ_xx
• On a quasi-linear parabolic equation occurring in aerodynamics
• Enhanced dissipation for the 2D couette flow in critical space
• Enhanced dissipation and inviscid damping in the inviscid limit of the Navier-Stokes equations near the two dimensional Couette flow

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