Blow-up criteria of the simplified Ericksen-Leslie system
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Publication:6161742
DOI10.1186/s13661-023-01729-yzbMath1515.35206OpenAlexW4364379240MaRDI QIDQ6161742
Publication date: 27 June 2023
Published in: Boundary Value Problems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/s13661-023-01729-y
PDEs in connection with fluid mechanics (35Q35) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Blow-up in context of PDEs (35B44)
Cites Work
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- Scaling invariant blow-up criteria for simplified versions of Ericksen-Leslie system
- On the critical one component regularity for 3-D Navier-Stokes system: general case
- Global existence of solutions of the simplified Ericksen-Leslie system in dimension two
- Global solution to the incompressible flow of liquid crystals
- Global regularity criterion for the 3D Navier-Stokes equations involving one entry of the velocity gradient tensor
- On the interior regularity of weak solutions of the Navier-Stokes equations
- Some new regularity criteria for the Navier-Stokes equations containing gradient of the velocity.
- On the spectral dynamics of the deformation tensor and new a priori estimates for the 3D Euler equations
- On regularity of a weak solution to the Navier-Stokes equation with generalized impermeability boundary conditions
- Heat flow of harmonic maps whose gradients belong to \(L^{n}_{x}L^{\infty}_{t}\)
- A regularity criterion for the solutions of 3D Navier-Stokes equations
- Liquid crystal flows in two dimensions
- Finite-time blow-up of the heat flow of harmonic maps from surfaces
- Existence of solutions for the Ericksen-Leslie system
- On regularity of a weak solution to the Navier-Stokes equations with the generalized Navier slip boundary conditions
- Regularity criterion for solutions to the Navier-Stokes equations in the whole 3D space based on two vorticity components
- A new regularity class for the Navier-Stokes equations in \(\mathbb{R}^ n\)
- Two new regularity criteria for the 3D Navier-Stokes equations via two entries of the velocity gradient tensor
- A Serrin-type regularity criterion for the Navier-Stokes equations via one velocity component
- Conditional regularity for the 3D Navier-Stokes equations in terms of the middle eigenvalue of the strain tensor
- A regularity criterion for the Navier-Stokes equation involving only the middle eigenvalue of the strain tensor
- A regularity criterion for the tridimensional Navier-Stokes equations in term of one velocity component
- LPS's criterion for incompressible nematic liquid crystal flows
- Logarithmically improved blow-up criteria for the nematic liquid crystal flows
- Regularity criteria for the strong solutions to the Ericksen-Leslie system in \(\mathbb R^3\)
- Un teorema di unicita per le equazioni di Navier-Stokes
- Regularity criterion via two components of vorticity on weak solutions to the Navier-Stokes equations in \(\mathbb R^3\).
- Navier-Stokes regularity criteria in sum spaces
- On the critical one component regularity for 3-D Navier-Stokes system
- Some Analytical Issues for Elastic Complex Fluids
- Blow up Criterion for Nematic Liquid Crystal Flows
- BKM's criterion for the 3D nematic liquid crystal flows via two velocity components and molecular orientations
- A new regularity criterion for strong solutions to the Ericksen–Leslie system
- Nonlinear theory of defects in nematic liquid crystals; Phase transition and flow phenomena
- Regularity criteria for the three-dimensional Navier-Stokes equations
- Vorticity alignment results for the three-dimensional Euler and Navier - Stokes equations
- L3,∞-solutions of the Navier-Stokes equations and backward uniqueness
- Regularity Criterion for Solutions of Three-Dimensional Turbulent Channel Flows
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