Euler-α equations in a three-dimensional bounded domain with Dirichlet boundary conditions
Open MathematicsIn this article, we investigate the Euler-α\alpha equations in a three-dimensional bounded domain. On the one hand, we prove in the Euler setting that the equations are locally well-posed with initial data in Hs(s≥3){H}^{s}\left(s\ge 3).
Yuan Shaoliang +3 more
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A Finite Element Approximation for Nematic Liquid Crystal Flow with Stretching Effect Based on Nonincremental Pressure-Correction Method. [PDF]
Entropy (Basel), 2022 Meng Z, Liu M, Jia H.
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Global smooth solution to the n-dimensional liquid crystal equations with fractional dissipation
Demonstratio MathematicaIn this article, we focus on the global regularity of n-dimensional liquid crystal equations with fractional dissipation terms (−Δ)αu{\left(-\Delta )}^{\alpha }u and (−Δ)βd{\left(-\Delta )}^{\beta }d.
Li Wei, Wu Qiongru
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© Hindawi Publishing Corp. ASYMPTOTICS FOR CRITICAL NONCONVECTIVE TYPE EQUATIONS
, 2003 We study large-time asymptotic behavior of solutions to the Cauchy problem for a model of nonlinear dissipative evolution equation. The linear part is a pseudodifferential operator and the nonlinearity is a cubic pseudodifferential operator defined by ...
Elena I. Kaikina +2 more
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Free surface equatorial flows in spherical coordinates with discontinuous stratification depending on depth and latitude. [PDF]
Ann Mat Pura Appl, 2022 Martin C, Petruşel A.
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Nonstationary Flows with Viscous Heating Effects
, 1997 . The system of equations describing a nonstationary flow of a quasi-newtonian fluid, with temperature dependent viscosity and with the viscous heating, is considered. Existence of at least one weak solution is proved, i.e.
Andro Mikelic, Thierry Clopeau
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Some Explicit Solutions to the Three-Dimensional Nonlinear Water Wave Problem. [PDF]
J Math Fluid Mech, 2021 Martin CI.
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, 1997 . Various sophisticated finite element models for surface water flow exist in the literature. Gray, Kolar, Luettich, Lynch and Westerink have developed a hydrodynamic model based on the generalized wave continuity equation (GWCE) formulation, and have ...
M. Martinez +6 more
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Blow-up criteria for compressible viscoelastic flows with general pressure laws
Advances in Nonlinear AnalysisWe investigate the blow-up criteria of strong solutions to the Dirichlet and Cauchy problems for the compressible viscoelastic equations with vacuum in two and three dimensions, where a general class of pressure laws without monotonicity constraints is ...
Wang Yong, Yang Jianquan
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On the convergence rate of the Kačanov scheme for shear-thinning fluids. [PDF]
Calcolo, 2022 Heid P, Süli E.
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