Statistical solutions of the incompressible Euler equations
DOI10.1142/S0218202521500068zbMath1473.35422arXiv1909.06615MaRDI QIDQ5164208
Carlos Parés-Pulido, Siddhartha Mishra, Samuel Lanthaler
Publication date: 10 November 2021
Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1909.06615
Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Statistical solutions of Navier-Stokes and related equations (76D06) Numerical methods for ill-posed problems for initial value and initial-boundary value problems involving PDEs (65M30) Euler equations (35Q31) Probabilistic methods, particle methods, etc. for initial value and initial-boundary value problems involving PDEs (65M75)
Related Items
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Multi-level Monte Carlo finite volume methods for nonlinear systems of conservation laws in multi-dimensions
- Oscillations and concentrations in weak solutions of the incompressible fluid equations
- Weak-strong uniqueness for measure-valued solutions
- Weak solutions to the incompressible Euler equations with vortex sheet initial data
- An inviscid flow with compact support in space-time
- Deep learning observables in computational fluid dynamics
- Burgers' equation with vanishing hyper-viscosity
- The Euler equations as a differential inclusion
- Compact sets in the space \(L^ p(0,T;B)\)
- Statistics of shocks in solutions of inviscid Burgers equation
- The inviscid Burgers equation with initial data of Brownian type
- On \(L^ 1\)-vorticity for 2-D incompressible flow
- Non-oscillatory central schemes for the incompressible 2-D Euler equations
- Approximate solutions of the incompressible Euler equations with no concentrations
- Statistical solutions of hyperbolic conservation laws: foundations
- A second-order projection method for the incompressible Navier-Stokes equations
- Weak solutions with decreasing energy of incompressible Euler equations
- Stability and spectral convergence of Fourier method for nonlinear problems: on the shortcomings of the \(2/3\) de-aliasing method
- On the convergence of the spectral viscosity method for the two-dimensional incompressible Euler equations with rough initial data
- A note on statistical solutions of the three-dimensional Navier-Stokes equations: the time-dependent case
- Construction of approximate entropy measure-valued solutions for hyperbolic systems of conservation laws
- Convergence of the point vortex method for 2-D vortex sheet
- Vorticity and Incompressible Flow
- Uncertainty Quantification for Hyperbolic Systems of Conservation Laws
- Numerical approximation of statistical solutions of planar, incompressible flows
- Computation of measure-valued solutions for the incompressible Euler equations
- A study of singularity formation in a vortex sheet by the point-vortex approximation
- Convergence of Spectral Methods for Nonlinear Conservation Laws
- Existence de Nappes de Tourbillon en Dimension Deux
- H(div) conforming and DG methods for incompressible Euler’s equations
- Numerical Approximation of Statistical Solutions of Scalar Conservation Laws
- Convergence of vortex methods for weak solutions to the 2‐D euler equations with vortex sheet data
- Statistical solutions of hyperbolic systems of conservation laws: Numerical approximation
- Spectral Methods
- Numerical Solution of the Navier-Stokes Equations
- Numerical Methods for the Simulation of Turbulence
- On the computation of measure-valued solutions
- The Rate of Convergence of Spectral-Viscosity Methods for Periodic Scalar Conservation Laws
- 𝒦-convergence as a new tool in numerical analysis
- Optimal Transport
