Optimal stability estimates and a new uniqueness result for advection-diffusion equations
From MaRDI portal
Publication:2103531
DOI10.2140/paa.2022.4.571zbMath1504.35096arXiv2102.07759OpenAlexW3132286738MaRDI QIDQ2103531
André Schlichting, Víctor Navarro-Fernández, Christian Seis
Publication date: 14 December 2022
Published in: Pure and Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2102.07759
Stability in context of PDEs (35B35) A priori estimates in context of PDEs (35B45) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Initial value problems for second-order parabolic equations (35K15)
Related Items
Error estimates for a finite volume scheme for advection–diffusion equations with rough coefficients ⋮ Weak and parabolic solutions of advection-diffusion equations with rough velocity field ⋮ On the advection-diffusion equation with rough coefficients: weak solutions and vanishing viscosity
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Differential equations with singular fields
- Stochastic homeomorphism flows of SDEs with singular drifts and Sobolev diffusion coefficients
- Transport equation and Cauchy problem for BV vector fields
- Ordinary differential equations, transport theory and Sobolev spaces
- Stochastic flows of SDEs with irregular coefficients and stochastic transport equations
- Stochastic differential equations with coefficients in Sobolev spaces
- The geometry of optimal transportation
- Well-posedness for the continuity equation for vector fields with suitable modulus of continuity
- A quantitative theory for the continuity equation
- Parabolic equations with irregular data and related issues. Applications to stochastic differential equations
- Analysis of the implicit upwind finite volume scheme with rough coefficients
- Quantitative stability estimates for Fokker-Planck equations
- Well-posedness and large deviation for degenerate SDEs with Sobolev coefficients
- Nonuniqueness of weak solutions for the transport equation at critical space regularity
- On the advection-diffusion equation with rough coefficients: weak solutions and vanishing viscosity
- Convex integration solutions to the transport equation with full dimensional concentration
- Optimality of integrability estimates for advection-diffusion equations
- Crossover of the coarsening rates in demixing of binary viscous liquids
- Existence and uniqueness of martingale solutions for SDEs with rough or degenerate coefficients
- Transport distances for PDEs: the coupling method
- Strong convergence of the vorticity for the 2D Euler equations in the inviscid limit
- Advection diffusion equations with Sobolev velocity field
- LAGRANGIAN FLOWS FOR VECTOR FIELDS WITH GRADIENT GIVEN BY A SINGULAR INTEGRAL
- Upper Bounds on Coarsening Rates in Demixing Binary Viscous Liquids
- Estimates and regularity results for the DiPerna-Lions flow
- Existence and Uniqueness of Solutions to Fokker–Planck Type Equations with Irregular Coefficients
- A remark on the inviscid limit for two-dimensional incompressible fluids
- Eulerian and Lagrangian Solutions to the Continuity and Euler Equations with $L^1$ Vorticity
- Optimal stability estimates for continuity equations
- Stability estimates for invariant measures of diffusion processes, with applications to stability of moment measures and Stein kernels
- Inviscid Limit of Vorticity Distributions in the Yudovich Class
- Convergence Rates for Upwind Schemes with Rough Coefficients
- Maximal mixing by incompressible fluid flows
- A Note on the Vanishing Viscosity Limit in the Yudovich Class
