-
Article
On the Banach Manifold of Simple Domains in the Euclidean Space and Applications to Free Boundary Problems
In this paper we study the Banach manifold made up of simple Cm+μ\(C^{m+\mu }\)-domains in the Euclidean space Rn\(\mathbb{R}^{n}\). This manifold is merely a topological or a C0\(C^{0}\) Banach manifold not possessing...
-
Article
Analysis of a Free Boundary Problem Modeling the Growth of Spherically Symmetric Tumors with Angiogenesis
This paper is concerned with a free boundary problem modeling the growth of a spherically symmetric tumor with angiogenesis. The unknown nutrient concentration
-
Article
Successful surgery for a neuromuscular scoliosis patient by pulmonary rehabilitation with forced vital capacity below 30%
A rare case of a 15-year-old male patient with neuromuscular scoliosis with forced vital capacity (FVC) below 30%, who went through a s...
-
Article
Existence and analyticity of mild solutions for the 3D rotating Navier–Stokes equations
We study the three-dimensional Navier–Stokes equations in the rotational framework. By using the Littlewood–Paley analysis technique and the dispersive estimates for the Coriolis linear group
-
Article
Multi-solitons for a generalized Davey-Stewartson system
This paper studies multi-solitons of non-integrable generalized Davey-Stewartson system in the elliptic-elliptic case. By extending the method for constructing multi-solitons of non-integrable nonlinear Schröd...
-
Article
Tumor Necrosis Factor Alpha Induces Neural Stem Cell Apoptosis Through Activating p38 MAPK Pathway
Tumor necrosis factor alpha (TNF-α) is an essential cytokine that mediates cell death and has been shown to play a potential role in inducing neural stem cell (NSC) apoptosis. We have previously shown that TNF...
-
Article
The effects of intervertebral disc degeneration combined with osteoporosis on vascularization and microarchitecture of the endplate in rhesus monkeys
To evaluate the influence of osteoporosis on the microarchitecture and vascularization of the endplate in rhesus monkeys with or without intervertebral disc (IVD) degeneration using micro-computerized tomograp...
-
Article
Open AccessBiomechanical evaluation of monosegmental pedicle instrumentation in a calf spine model and the role of fractured vertebrae in screw stability
Monsegmental pedicle instrumentation (MSPI) has been used to treat thoracolumbar fractures. However, there are few reports about the biomechanical characteristics of MSPI compared with traditional short-segmen...
-
Article
Open AccessCervical cage without plating in management of type II / II A Hangman’s fracture combined with intervertebral disc injury
Surgical intervention is increasingly performed as the primary treatment of unstable Hangman’s fracture. Some authors have advocated using anterior C2/3 discectomy with interbody fusion and plating to treat un...
-
Article
Open AccessAnterior-only stabilization using cage versus plating with bone autograft for the treatment of type II/IIA Hangman’s fracture combined with intervertebral disc injury
Anterior C2/3 discectomy and interbody fusion (ACDF) with plating is increasingly performed as the primary treatment of unstable Hangman’s fracture; however, plate-related complications, such as screw back-out...
-
Article
Open AccessIn vivo experimental intervertebral disc degeneration induced by bleomycin in the rhesus monkey
Recently, biological therapies for early intervention of degenerative disc disease have been introduced and developed; however, a functional animal model that mimics slowly progressive disc degeneration of hum...
-
Article
Uniqueness of weak solution to the generalized magneto-hydrodynamic system
We study uniqueness of weak solution for the generalized incompressible magneto-hydrodynamic (GMHD) system with suitable \(\beta \) ...
-
Article
Existence of Solutions for the Debye-Hückel System with Low Regularity Initial Data
In this paper we study existence of solutions for the Cauchy problem of the Debye-Hückel system with low regularity initial data. By using the Chemin-Lerner time-space estimate for the heat equation, we prove ...
-
Article
A logarithmically improved regularity criterion for the Navier–Stokes equations
In this note we prove a logarithmically improved regularity criterion in terms of the Besov space norm for the Navier–Stokes equations. The result shows that if a mild solution u satisfies
-
Article
Existence and regularizing rate estimates of solutions to a generalized magneto-hydrodynamic system in pseudomeasure spaces
We study existence and asymptotic stability of solutions to a n-dimensional generalized incompressible magneto-hydrodynamic system with initial value ...
-
Article
Logarithmically Improved Criteria for the 3D Nematic Liquid Crystal Flows in the Multiplier Spaces
This paper proves some logarithmically improved regularity criteria in terms of the multiplier space for the 3D nematic liquid crystal flows.
-
Article
Regularizing and decay rate estimates for solutions to the Cauchy problem of the Debye–Hückel system
In this paper we establish some regularizing and decay rate estimates for mild solutions of the Debye–Hückel system. We prove that if the initial data belong to the critical Lebesgue space
-
Article
Weak Continuity of the Flow Map for the Benjamin-Ono Equation on the Line
In this paper we show that the flow map of the Benjamin-Ono equation on the line is weakly continuous in L 2(ℝ), using “local smoothing” estimates. L 2(ℝ) is believ...
-
Article
Well-posedness and Stability of a Multi-dimensional Tumor Growth Model
We study a moving boundary problem modeling the growth of in vitro tumors. This problem consists of two elliptic equations describing the distribution of the nutrient and the internal pressure, respectively, a...
-
Article
Pointwise Estimates for Oscillatory Integrals and Related Lp–Lq Estimates II: Multidimensional Case
In this article we first establish some pointwise estimates for a class of multidimensional oscillatory integrals, and then use such estimates to establish Lp – Lq estimates for a class of dispersive equations of...
