Dynamics of the Ericksen-Leslie equations with general Leslie stress. I: The incompressible isotropic case
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Publication:1674577
DOI10.1007/s00208-016-1453-7zbMath1383.35162arXiv1607.06599OpenAlexW2960065124MaRDI QIDQ1674577
Publication date: 25 October 2017
Published in: Mathematische Annalen (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1607.06599
stabilityEricksen-Leslie equationsParodi's relationLeslie coefficientsLeslie stresswell-posed in the \(L_p\)-setting
PDEs in connection with fluid mechanics (35Q35) Liquid crystals (76A15) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Quasilinear parabolic equations (35K59)
Related Items (18)
Global solution to the compressible non-isothermal nematic liquid crystal equations with constant heat conductivity and vacuum ⋮ Nonuniqueness of nematic liquid crystal flows in dimension three ⋮ Dynamics of the Ericksen-Leslie equations with general Leslie stress. II: The compressible isotropic case ⋮ The existence and uniqueness of time-periodic solutions to the non-isothermal model for compressible nematic liquid crystals in a periodic domain ⋮ On a thermodynamically consistent model for magnetoviscoelastic fluids in 3D ⋮ Uniqueness of global weak solutions for the general Ericksen-Leslie system with Ginzburg-Landau penalization in \(\mathbb{T}^2\) ⋮ Long‐time dynamics of Ericksen–Leslie system on 𝕊2 ⋮ Non-isothermal general Ericksen-Leslie system: derivation, analysis and thermodynamic consistency ⋮ Existence and uniqueness theorems for the full three-dimensional Ericksen–Leslie system ⋮ Analysis of Viscous Fluid Flows: An Approach by Evolution Equations ⋮ Global solution to the nematic liquid crystal flows with heat effect ⋮ Global well-posedness of non-isothermal inhomogeneous nematic liquid crystal flows ⋮ Preface ⋮ The bidomain problem as a gradient system ⋮ On the 2D Ericksen-Leslie equations with anisotropic energy and external forces ⋮ Local well-posedness to the 2D Cauchy problem of non-isothermal nonhomogeneous nematic liquid crystal flows with vacuum at infinity ⋮ Strong solution to stochastic penalised nematic liquid crystals model driven by multiplicative Gaussian noise ⋮ On singularities of Ericksen-Leslie system in dimension three
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