Existence of weak solutions to the two-dimensional incompressible Euler equations in the presence of sources and sinks
From MaRDI portal
Publication:2169402
zbMath1496.35288arXiv2103.13912MaRDI QIDQ2169402
Publication date: 2 September 2022
Published in: Advances in Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2103.13912
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) A priori estimates in context of PDEs (35B45) Turbulent transport, mixing (76F25) Weak solutions to PDEs (35D30) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03) Euler equations (35Q31)
Related Items
Uniqueness of Yudovich's solutions to the 2D incompressible Euler equation despite the presence of sources and sinks ⋮ On the existence of weak solutions for the 2D incompressible Euler equations with in-out flow and source and sink points
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The inviscid limit for the Navier-Stokes equations with slip condition on permeable walls
- Transport equation and Cauchy problem for BV vector fields
- Caratterizzazioni delle tracce sulla frontiera relative ad alcune classi di funzioni in \(n\) variabili
- Lagrangian solutions to the 2D Euler system with \(L^1\) vorticity and infinite energy
- Ordinary differential equations, transport theory and Sobolev spaces
- Trace theorems and spatial continuity properties for the solutions of the transport equation.
- On the evolution of a concentrated vortex in an ideal fluid
- Mathematical theory of incompressible nonviscous fluids
- On \(L^ 1\)-vorticity for 2-D incompressible flow
- The zero diffusion limit of 2-D Navier-Stokes equations with \(L^1\) initial vorticity
- On a motion of a perfect fluid in a domain with sources and sinks
- External boundary control of the motion of a rigid body immersed in a perfect two-dimensional fluid
- Renormalized solutions of the 2D Euler equations
- On the motion of a rigid body in a two-dimensional ideal flow with vortex sheet initial data
- Outflow boundary conditions for the incompressible non-homogeneous Navier-Stokes equations
- Euler equations with non-homogeneous Navier slip boundary conditions
- On classical solutions of the two-dimensional non-stationary Euler equation
- LAGRANGIAN FLOWS FOR VECTOR FIELDS WITH GRADIENT GIVEN BY A SINGULAR INTEGRAL
- Weak Compactness Techniques and Coagulation Equations
- Existence de Nappes de Tourbillon en Dimension Deux
- Hardy Spaces and the Two-Dimensional Euler Equations with Nonnegative Vorticity
- Eulerian and Lagrangian Solutions to the Continuity and Euler Equations with $L^1$ Vorticity
- Initial-Boundary Value Problems and the Navier-Stokes Equations
- The weak vorticity formulation of the 2-d euler equations and concentration-cancellation
- ON THE CONTROL OF THE MOTION OF A BOAT
- On the vanishing viscosity limit for 2D incompressible flows with unbounded vorticity
- On the Motion of Vortices in Two Dimensions
- Extension and representation of divergence-free vector fields on bounded domains
