Dissipation in Onsager's critical classes and energy conservation in \(BV \cap L^\infty\) with and without boundary
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Publication:6143300
DOI10.1007/s00220-023-04922-3arXiv2307.09189OpenAlexW4391028833MaRDI QIDQ6143300
Publication date: 23 January 2024
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2307.09189
Smoothness and regularity of solutions to PDEs (35B65) Vortex flows for incompressible inviscid fluids (76B47) Weak solutions to PDEs (35D30) Flow control and optimization for incompressible inviscid fluids (76B75) Euler equations (35Q31) PDEs with measure (35R06)
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Cites Work
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- Dissipative continuous Euler flows
- On the kinetic energy profile of Hölder continuous Euler flows
- On the structure of solutions of nonlinear hyperbolic systems of conservation laws
- An inviscid flow with compact support in space-time
- Transport equation and Cauchy problem for BV vector fields
- On the energy of inviscid singular flows
- Divergence-measure fields and hyperbolic conservation laws
- Onsager's conjecture on the energy conservation for solutions of Euler's equation
- Energy dissipation without viscosity in ideal hydrodynamics. I: Fourier analysis and local energy transfer
- A proof of Onsager's conjecture
- Divergence-measure fields, sets of finite perimeter, and conservation laws
- Weak solutions with decreasing energy of incompressible Euler equations
- Sharp energy regularity and typicality results for Hölder solutions of incompressible Euler equations
- Onsager's conjecture with physical boundaries and an application to the vanishing viscosity limit
- Measure-theoretic analysis and nonlinear conservation laws
- Holder Continuous Euler Flows in Three Dimensions with Compact Support in Time
- Onsager's Conjecture for Admissible Weak Solutions
- Energy conservation and Onsager's conjecture for the Euler equations
- Characterizations of the existence and removable singularities of divergence-measure vector fields
- Rank one property for derivatives of functions with bounded variation
- Onsager's Conjecture and Anomalous Dissipation on Domains with Boundary
- Inertial energy dissipation for weak solutions of incompressible Euler and Navier-Stokes equations
- Gauss‐Green theorem for weakly differentiable vector fields, sets of finite perimeter, and balance laws
- An intermittent Onsager theorem
- Energy conservation for weak solutions of incompressible fluid equations: the Hölder case and connections with Onsager's conjecture
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