Yachun Li
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View article: Initial boundary value problem for one-dimensional hyperbolic compressible Navier-Stokes equations
Initial boundary value problem for one-dimensional hyperbolic compressible Navier-Stokes equations Open
An initial boundary value problem for one-dimensional hyperbolic compressible Navier-Stokes equations is investigated. After transforming the system into Lagrangian coordinate, the resulting system possesses a structure with uniform charac…
View article: Advanced Microarrays as Heterogeneous Force‐Remodeling Coordinator to Orchestrate Nuclear Configuration and Force‐Sensing Mechanotransduction in Stem Cells
Advanced Microarrays as Heterogeneous Force‐Remodeling Coordinator to Orchestrate Nuclear Configuration and Force‐Sensing Mechanotransduction in Stem Cells Open
Integrin and focal adhesion can regulate cytoskeleton distribution to govern actin‐related force remodeling and play an important role in nuclear configuration and force‐sensing mechanotransduction of stem cells. However, further explorati…
View article: $L^{p}$ Mild Solution to Stochastic Incompressible inhomogeneous Navier-Stokes Equations
$L^{p}$ Mild Solution to Stochastic Incompressible inhomogeneous Navier-Stokes Equations Open
In this paper, we establish the global $L^{p}$ mild solution of inhomogeneous incompressible Navier-Stokes equations in the torus $\mathbb{T}^{N}$ with $N
View article: Local classical solutions to Navier-Stokes equations with degenerate viscosities and vacuum
Local classical solutions to Navier-Stokes equations with degenerate viscosities and vacuum Open
We consider the 3D isentropic compressible Navier-Stokes equations with degenerate viscousities and vacuum. The degenerate viscosities $μ(ρ)$ and $λ(ρ)$ are proportional to some power of density, while the powers of density in $μ(ρ)$ and $…
View article: Global Existence and Asymptotic Behavior of Large Strong Solutions to the 3D Full Compressible Navier-Stokes Equations with Density-dependent Viscosities
Global Existence and Asymptotic Behavior of Large Strong Solutions to the 3D Full Compressible Navier-Stokes Equations with Density-dependent Viscosities Open
The purpose of this work is to investigate the Cauchy problem of global-in-time existence of large strong solutions to the Navier-Stokes equations for compressible viscous and heat conducting fluids. A class of density-dependent viscosity …
View article: Stationary solution to Stochastically Forced Euler-Poisson Equations in Bounded Domain: Part 1. 3-D Insulating Boundary
Stationary solution to Stochastically Forced Euler-Poisson Equations in Bounded Domain: Part 1. 3-D Insulating Boundary Open
This paper is concerned with $3$-D stochastic Euler-Poisson equations with insulating boundary conditions forced by the Wiener process. We first establish the global existence and uniqueness of the solution to the system, then we prove tha…
View article: Stationary solution to Stochastically Forced Euler-Poisson Equations in Bounded Domain: Part 2. 1-D Ohmic Contact Boundary
Stationary solution to Stochastically Forced Euler-Poisson Equations in Bounded Domain: Part 2. 1-D Ohmic Contact Boundary Open
In this paper, we establish the asymptotic stability of the steady-state for a 1-D stochastic Euler-Poisson equations with Ohmic contact boundary conditions forced by the Wiener process. We utilize Banach's fixed point theorem and the a pr…
View article: Comparative analysis of antibiotics: Inhibition of protein synthesis versus DNA synthesis
Comparative analysis of antibiotics: Inhibition of protein synthesis versus DNA synthesis Open
In this piece of writing, we will be addressing the following factors: properties of antibiotics, mechanism of action, clinical safety profile, as well as toxicity, adverse event profile, and case fatality rate. From our evaluation, in ter…
View article: Approximations of Euler-Maxwell systems by drift-diffusion equations through zero-relaxation limits near non-constant equilibrium
Approximations of Euler-Maxwell systems by drift-diffusion equations through zero-relaxation limits near non-constant equilibrium Open
Due to extreme difficulties in numerical simulations of Euler-Maxwell equations, which are caused by the highly complicated structures of the equations, this paper concerns the simplification of Euler-Maxwell system through the zero-relaxa…
View article: Non-uniqueness in law of Leray solutions to 3D forced stochastic Navier-Stokes equations
Non-uniqueness in law of Leray solutions to 3D forced stochastic Navier-Stokes equations Open
This paper concerns the forced stochastic Navier-Stokes equation driven by additive noise in the three dimensional Euclidean space. By constructing an appropriate forcing term, we prove that there exist distinct Leray solutions in the prob…
View article: Gut microbiota-derived trimethylamine N-oxide is associated with the risk of all-cause and cardiovascular mortality in patients with chronic kidney disease: a systematic review and dose-response meta-analysis
Gut microbiota-derived trimethylamine N-oxide is associated with the risk of all-cause and cardiovascular mortality in patients with chronic kidney disease: a systematic review and dose-response meta-analysis Open
Trimethylamine N-oxide (TMAO) derived from gut microbiota causes kidney-heart damage in chronic kidney disease (CKD) patients. However, it is controversial whether CKD patients with higher TMAO are associated with a higher risk of death. W…
View article: On a partially synchronizable system for a coupled system of wave equations in one dimension
On a partially synchronizable system for a coupled system of wave equations in one dimension Open
In this paper, we study a partially synchronizable system for a coupled system of wave equations with different wave speeds in the framework of classical solutions in one dimensional. A partially synchronizable system is defined as a syste…
View article: Non-uniqueness for the hypo-viscous compressible Navier-Stokes equations
Non-uniqueness for the hypo-viscous compressible Navier-Stokes equations Open
We study the Cauchy problem for the isentropic hypo-viscous compressible Navier-Stokes equations (CNS) under general pressure laws in all dimensions $d\geq 2$. For all hypo-viscosities $(-Δ)^α$ with $α\in (0,1)$, we prove that there exist …
View article: Global Convergence and Error Estimates in Infinity-ion-mass Limits for Bipolar Euler-Poisson System
Global Convergence and Error Estimates in Infinity-ion-mass Limits for Bipolar Euler-Poisson System Open
This paper is concerned with the global-in-time convergence from bipolar Euler-Poisson system (BEP) to unipolar one (UEP) through the infinity-ion-mass limit by letting the ratio of the mass of ion $m_i$ over that of electron $m_e$ goes to…
View article: Sharp non-uniqueness of weak solutions to 3D magnetohydrodynamic equations
Sharp non-uniqueness of weak solutions to 3D magnetohydrodynamic equations Open
We prove the non-uniqueness of weak solutions to 3D hyper viscous and resistive MHD in the class $L^γ_tW^{s,p}_x$, where the exponents $(s,γ,p)$ lie in two supercritical regimes. The result reveals that the scaling-invariant Ladyženskaja-P…
View article: The Global Existence of Martingale Solutions to Stochastic Compressible Navier-Stokes Equations with Density-dependent Viscosity
The Global Existence of Martingale Solutions to Stochastic Compressible Navier-Stokes Equations with Density-dependent Viscosity Open
The global existence of martingale solutions to the compressible Navier-Stokes equations driven by stochastic external forces, with density-dependent viscosity and vacuum, is established in this paper. This work can be regarded as a stocha…
View article: Sharp non-uniqueness for the 3D hyperdissipative Navier-Stokes equations: above the Lions exponent
Sharp non-uniqueness for the 3D hyperdissipative Navier-Stokes equations: above the Lions exponent Open
We study the 3D hyperdissipative Navier-Stokes equations on the torus, where the viscosity exponent $α$ can be larger than the Lions exponent $5/4$. It is well-known that, due to Lions [55], for any $L^2$ divergence-free initial data, ther…
View article: A Boundary Value Problem for a Class of Anisotropic Stochastic Degenerate Parabolic-Hyperbolic Equations
A Boundary Value Problem for a Class of Anisotropic Stochastic Degenerate Parabolic-Hyperbolic Equations Open
We establish the well-posedness of an initial-boundary value problem of mixed type for a stochastic nonlinear parabolic-hyperbolic equation on a space domain $\cO=\cO'\X\cO''$ where a Neumann boundary condition is imposed on $\po\cO'\X\cO"…
View article: The Dirichlet Problem for Stochastic Degenerate Parabolic-Hyperbolic Equations
The Dirichlet Problem for Stochastic Degenerate Parabolic-Hyperbolic Equations Open
We consider the Dirichlet problem for a quasilinear degenerate parabolic stochastic partial differential equation with multiplicative noise and nonhomogeneous Dirichlet boundary condition.We introduce the definition of kinetic solution for…
View article: Non-uniqueness of weak solutions to 3D magnetohydrodynamic equations
Non-uniqueness of weak solutions to 3D magnetohydrodynamic equations Open
We prove the non-uniqueness of weak solutions to 3D magnetohydrodynamic (MHD for short) equations. The constructed weak solutions do not conserve the magnetic helicity and can be close to any given smooth, divergence-free and mean-free vel…
View article: Tetrandrine partially reverses multidrug resistance of human laryngeal cancer cells
Tetrandrine partially reverses multidrug resistance of human laryngeal cancer cells Open
Objective Studies have demonstrated that tetrandrine reverses multidrug resistance (MDR) in animal models or cell lines derived from multiple cancer types. We examined the potential MDR reversal activity of tetrandrine in a multidrug-resis…
View article: Local well-posedness of compressible Radiation Hydrodynamic equations with density-dependent viscosities and vacuum
Local well-posedness of compressible Radiation Hydrodynamic equations with density-dependent viscosities and vacuum Open
In this paper, we consider the Cauchy problem for three-dimensional isentropic compressible radiation hydrodynamic equations with density-dependent viscosity coefficients.When the viscosity coefficients are given as power of density ($\rho…
View article: On the global-in-time inviscid limit of the 3D isentropic compressible Navier-Stokes equations with degenerate viscosities and vacuum
On the global-in-time inviscid limit of the 3D isentropic compressible Navier-Stokes equations with degenerate viscosities and vacuum Open
In the recent paper, the global-in-time inviscid limit of the three-dimensional (3D) isentropic compressible Navier-Stokes equations is considered. First, when viscosity coefficients are given as a constant multiple of density's power ($(ρ…
View article: The Strong Trace Property and the Neumann Problem for Stochastic Conservation Laws
The Strong Trace Property and the Neumann Problem for Stochastic Conservation Laws Open
We establish the well-posedness of the Neumann problem for stochastic conservation laws with multiplicative noise. As a major step for establishing the uniqueness of the kinetic solution to the referred problem we establish the new strong …
View article: Convergence rate from hyperbolic systems of balance laws to parabolic systems
Convergence rate from hyperbolic systems of balance laws to parabolic systems Open
It is proved recently that partially dissipative hyperbolic systems converge globally-in-time to parabolic systems in a slow time scaling, when initial data are smooth and sufficiently close to constant equilibrium states. Based on this re…
View article: Well-posedness of nonisentropic Euler equations with physical vacuum
Well-posedness of nonisentropic Euler equations with physical vacuum Open
We consider the local well-posedness of the one-dimensional nonisentropic Euler equations with moving physical vacuum boundary condition. The physical vacuum singularity requires the sound speed to be scaled as the square root of the dista…