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Article
Explicit construction of measure solutions of Cauchy problem for transportation equations
The transportation equations are a mathematical model of zero-pressure flow in gas dynamics and the adhesion particle dynamics system to explain the formation of large scale structures in the universe. With th...
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Chapter and Conference Paper
On the Initial-value Problem for Zero-pressure Gas Dynamics
This paper is a survey of some recent development on the zero-pressure gas dynamics. We will state the mechanism of delta-shock and its propagation, construct the solutions of one-dimensional and two-dimension...
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Article
Simple Waves and a Characteristic Decomposition of the Two Dimensional Compressible Euler Equations
We present a characteristic decomposition of the potential flow equation in the self-similar plane. The decomposition allows for a proof that any wave adjacent to a constant state is a simple wave for the adia...
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Article
Hyperbolic balance laws: Riemann invariants and the generalized Riemann problem
The Generalized Riemann Problem (GRP) for a nonlinear hyperbolic system of m balance laws (or alternatively “quasi-conservative” laws) in one space dimension is now well-known and can be formulated as follows: Gi...
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Article
Open AccessPhysical activity inversely associated with the presence of depression among urban adolescents in regional China
An inverse relationship between physical activity (PA) and depression among adolescents has been reported in developed communities without consideration of sedentary behaviors (SB, including sitting for course...
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Article
Interaction of Rarefaction Waves of the Two-Dimensional Self-Similar Euler Equations
We construct classical self-similar solutions to the interaction of two arbitrary planar rarefaction waves for the polytropic Euler equations in two space dimensions. The binary interaction represents a major ...
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Article
Associations of Residential Density with Adolescents’ Physical Activity in a Rapidly Urbanizing Area of Mainland China
In the context of recent social and economic transitions in China, lack of physical activity among adolescents is an emerging health risk, particularly so in rapidly expanding urban areas. Evidence from Wester...
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Article
Interaction of Four Rarefaction Waves in the Bi-Symmetric Class of the Two-Dimensional Euler Equations
The global existence and structures of solutions to multi-dimensional unsteady compressible Euler equations are interesting and important open problems. In this paper, we construct global classical solutions t...
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Article
Open AccessA school-based comprehensive lifestyle intervention among chinese kids against obesity (CLICK-Obesity): rationale, design and methodology of a randomized controlled trial in Nan**g city, China
The prevalence of childhood obesity among adolescents has been rapidly rising in Mainland China in recent decades, especially in urban and rich areas. There is an urgent need to develop effective interventions...
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Article
Degenerate Goursat-type boundary value problems arising from the study of two-dimensional isothermal Euler equations
As a ladder step to study transonic problems, we investigate two families of degenerate Goursat-type boundary value problems arising from the two-dimensional pseudo-steady isothermal Euler equations. The first...
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Article
Entropy convergence of new two-value scheme with slope relaxation for conservation laws
This paper establishes the entropy convergence of a new two-value high resolution finite volume scheme with slope relaxation for conservation laws. This scheme, motivated by the general method of high resoluti...
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Article
Model Test on Self-Weight Consolidation of the Red Mud Tailings Placed in the Karsts
The management of tailings depends on its consolidation behavior to great extent. The red mud tailings in **guo, Guangxi is of high water content and void ratio. The present paper takes the red mud aluminife...
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Article
Open AccessTwo-stage fourth order: temporal-spatial coupling in computational fluid dynamics (CFD)
With increasing engineering demands, there need high order accurate schemes embedded with precise physical information in order to capture delicate small scale structures and strong waves with correct “physics...
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Article
Transversal effects of high order numerical schemes for compressible fluid flows
Finite volume schemes for the two-dimensional (2D) wave system are taken to demonstrate the role of the genuine dimensionality of Lax-Wendroff flow solvers for compressible fluid flows. When the finite volume ...
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Article
Sonic-Supersonic Solutions for the Two-Dimensional Steady Full Euler Equations
This paper focuses on the structure of classical sonic-supersonic solutions near sonic curves for the two-dimensional full Euler equations in gas dynamics. In order to deal with the parabolic degeneracy near t...
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Article
Open AccessThoracoscopic versus open resection for symptomatic congenital pulmonary airway malformations in neonates: a decade-long retrospective study
The purpose of this study is to evaluate the potential advantages of thoracoscopic versus open resection for symptomatic congenital pulmonary airway malformation (CPAM) in neonates.
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Chapter
An Energy-Splitting High-Order Numerical Method for Multi-material Flows
This chapter deals with multi-material flow problems by a kind of effective numerical methods, based on a series of reduced forms of the Baer-Nunziato (BN)-type model. Numerical simulations often face a host o...
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Article
Stiffened Gas Approximation and GRP Resolution for Compressible Fluid Flows of Real Materials
The equation of state (EOS) embodies thermodynamic properties of compressible fluid materials and usually has very complicated forms in real engineering applications. The complexity of EOS in form gives rise t...
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Article
Preface to the Focused Issue in Honor of Professor Tong Zhang on the Occasion of His 90th Birthday
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Article
Regularity of Fluxes in Nonlinear Hyperbolic Balance Laws
This paper addresses the issue of the formulation of weak solutions to systems of nonlinear hyperbolic conservation laws as integral balance laws. The basic idea is that the “meaningful objects” are the fluxes, e...