Finite energy weak solutions of 2d Boussinesq equations with diffusive temperature
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Publication:2309166
DOI10.3934/dcds.2019230zbMath1435.35281arXiv1901.09179OpenAlexW2949382843MaRDI QIDQ2309166
Tianwen Luo, Tao Tao, Li-Qun Zhang
Publication date: 30 March 2020
Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1901.09179
Navier-Stokes equations (35Q30) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Weak solutions to PDEs (35D30)
Related Items (4)
Non-uniqueness in law for the Boussinesq system forced by random noise ⋮ Non-uniqueness of weak solutions to 2D hypoviscous Navier-Stokes equations ⋮ The nontrivial weak solution of Boussinesq system in high dimensions ⋮ Global well-posedness for the Cauchy problem of generalized Boussinesq equations in the control problem regarding initial data
Cites Work
- Unnamed Item
- Unnamed Item
- On nonperiodic Euler flows with Hölder regularity
- Dissipative continuous Euler flows
- \(h\)-principles for the incompressible Euler equations
- Dissipative Euler flows and Onsager's conjecture
- Non-uniqueness and \(h\)-principle for Hölder-continuous weak solutions of the Euler equations
- Non-uniqueness for the transport equation with Sobolev vector fields
- An inviscid flow with compact support in space-time
- On admissibility criteria for weak solutions of the Euler equations
- The Euler equations as a differential inclusion
- Onsager's conjecture on the energy conservation for solutions of Euler's equation
- A proof of Onsager's conjecture
- Hölder continuous solutions of active scalar equations
- Nonuniqueness of weak solutions to the Navier-Stokes equation
- Hölder continuous periodic solution of Boussinesq equation with partial viscosity
- Global well-posedness of the viscous Boussinesq equations
- Weak solutions with decreasing energy of incompressible Euler equations
- Wild solutions of the Navier-Stokes equations whose singular sets in time have Hausdorff dimension strictly less than 1
- Non-uniqueness of weak solutions to hyperviscous Navier-Stokes equations: on sharpness of J.-L. Lions exponent
- Cauchy problem for dissipative Hölder solutions to the incompressible Euler equations
- Non-renormalized solutions to the continuity equation
- Anomalous dissipation for \(1/5\)-Hölder Euler flows
- Hölder continuous solutions of Boussinesq equation with compact support
- Lectures on the Onsager conjecture
- Global regularity for the 2D Boussinesq equations with partial viscosity terms
- Onsager's conjecture almost everywhere in time
- A heat flow approach to Onsager’s conjecture for the Euler equations on manifolds
- Dissipative Euler Flows with Onsager-Critical Spatial Regularity
- Holder Continuous Euler Flows in Three Dimensions with Compact Support in Time
- Onsager's Conjecture for Admissible Weak Solutions
- Convex integration for a class of active scalar equations
- Energy conservation and Onsager's conjecture for the Euler equations
- On the Continuous Periodic Weak Solutions of Boussinesq Equations
- Inertial energy dissipation for weak solutions of incompressible Euler and Navier-Stokes equations
- Nonuniqueness of Weak Solutions to the SQG Equation
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