Weak-strong uniqueness for three dimensional incompressible active liquid crystals

DOI10.1007/S10473-024-0413-7MaRDI QIDQ6499120

Publication date: 8 May 2024

Published in: Acta Mathematica Scientia. Series B. (English Edition) (Search for Journal in Brave)

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) PDEs in connection with fluid mechanics (35Q35) Liquid crystals (76A15) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Cites Work

Unnamed Item
Uniqueness of weak solutions of the full coupled Navier-Stokes and \(Q\)-tensor system in 2D
Weak solutions for an initial-boundary \(\mathcal{Q}\)-tensor problem related to liquid crystals
Strictly physical global weak solutions of a Navier-Stokes \(Q\)-tensor system with singular potential
Global existence and regularity of solutions for active liquid crystals
The Navier-Stokes equations in the critical Lebesgue space
Energy dissipation and regularity for a coupled Navier-Stokes and Q-tensor system
Global strong solution to the three-dimensional liquid crystal flows of Q-tensor model
On the interior regularity of weak solutions of the Navier-Stokes equations
Strong \(L^ p\)-solutions of the Navier-Stokes equation in \(R^ m\), with applications to weak solutions
Global well-posedness for the dynamical \(Q\)-tensor model of liquid crystals
Solutions for semilinear parabolic equations in \(L^ p\) and regularity of weak solutions of the Navier-Stokes system
Nonuniqueness of weak solutions to the Navier-Stokes equation
On a regularity criterion for the solutions to the 3D Navier-Stokes equations.
On mathematical analysis of complex fluids in active hydrodynamics
Sharp nonuniqueness for the Navier-Stokes equations
Non-uniqueness of Leray solutions of the forced Navier-Stokes equations
Convex integration and phenomenologies in turbulence
Suitable weak solutions for the co-rotational Beris-Edwards system in dimension three
Global weak solution for a coupled compressible Navier-Stokes and \(Q\)-tensor system
Global weak solutions to the active hydrodynamics of liquid crystals
Are the incompressible 3d Navier-Stokes equations locally ill-posed in the natural energy space?
Stationary solutions and nonuniqueness of weak solutions for the Navier-Stokes equations in high dimensions
Un teorema di unicita per le equazioni di Navier-Stokes
The initial value problem for the Navier-Stokes equations with data in L\(^p\)
UNIQUENESS OF MILD SOLUTIONS OF THE NAVIER-STOKES SYSTEM IN LN
Regularity and uniqueness for a class of solutions to the hydrodynamic flow of nematic liquid crystals
Recent developments of analysis for hydrodynamic flow of nematic liquid crystals
Global Existence and Regularity for the Full Coupled Navier–Stokes andQ-Tensor System
The Navier-Stokes Problem in the 21st Century
On partial regularity results for the navier-stokes equations
The Energy Equation for the Navier–Stokes System
Global Weak Solutions for the Compressible Active Liquid Crystal System
L_3,∞-solutions of the Navier-Stokes equations and backward uniqueness
REMARK ON UNIQUENESS OF WEAK SOLUTIONS TO THE NAVIER-STOKES EQUATIONS
Convex integration constructions in hydrodynamics
Über die Anfangswertaufgabe für die hydrodynamischen Grundgleichungen. Erhard Schmidt zu seinem 75. Geburtstag gewidmet
\(L^2\)-critical nonuniqueness for the 2D Navier-Stokes equations

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