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Acta Mathematica Scientia

Description

Identifiers

ISSN 0252-9602

Publisher

Elsevier Science

Additional information

Data set: Elsevier

Articles

article

Hölder continuous solutions Of Boussinesq equations

Tao TAO, Liqun ZHANG

Acta Mathematica Scientia > 2018 > 38 > 5 > 1591-1616

We show the existence of dissipative Hölder continuous solutions of the Boussinesq equations. More precise, for any β ∈(0,⅕), a time interval [0,T] and any given smooth energy profile e:[0,T] → (0,∞), there exist a weak solution (v, θ) of the 3d Boussinesq equations such that (v,θ) ∈ Cβ × [0,T] with e(t) = ∫T3 | v(x,t)|2 dx for all t ∈ [0,T]. This extend the result of [2] about Onsager's conjecture...
article

Stability of steady multi-wave configurations for the full Euler equations of compressible fluid flow

Gui-Qiang G. CHEN, Matthew RIGBY

Acta Mathematica Scientia > 2018 > 38 > 5 > 1485-1514

We are concerned with the stability of steady multi-wave configurations for the full Euler equations of compressible fluid flow. In this paper, we focus on the stability of steady four-wave configurations that are the solutions of the Riemann problem in the flow direction, consisting of two shocks, one vortex sheet, and one entropy wave, which is one of the core multi-wave configurations for the two-dimensional...
article

Review on mathematical analysis of some two-phase flow models

Huanyao WEN, Lei YAO, Changjiang ZHU

Acta Mathematica Scientia > 2018 > 38 > 5 > 1617-1636

The two-phase flow models are commonly used in industrial applications, such as nuclear, power, chemical-process, oil-and-gas, cryogenics, bio-medical, micro-technology and so on. This is a survey paper on the study of compressible nonconservative two-fluid model, drift-flux model and viscous liquid-gas two-phase flow model. We give the research developments of these three two-phase flow models, respectively...
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