A5100335240- Nonlinear Differential Equations Analysis
- Navier-Stokes equation solutions
- Fractional Differential Equations Solutions
- Gas Dynamics and Kinetic Theory
- Advanced Mathematical Physics Problems
- Stability and Controllability of Differential Equations
- Advanced Differential Equations and Dynamical Systems
- Computational Fluid Dynamics and Aerodynamics
- Nonlinear Partial Differential Equations
- Differential Equations and Boundary Problems
- Algebraic and Geometric Analysis
- Advanced Mathematical Modeling in Engineering
- Holomorphic and Operator Theory
- Heat and Mass Transfer in Porous Media
- Mathematical Inequalities and Applications
- Advanced Topics in Algebra
- Mathematical and Theoretical Epidemiology and Ecology Models
- Functional Equations Stability Results
- Differential Equations and Numerical Methods
- Aerodynamics and Fluid Dynamics Research
- Analytic Number Theory Research
- Fixed Point Theorems Analysis
- RNA modifications and cancer
- advanced mathematical theories
- Cancer, Lipids, and Metabolism
Sichuan University of Arts and Science
2024
University of Science and Technology of China
2015-2022
Yunnan Normal University
2022
Yantai University
2021
Beijing Jiaotong University
2019-2020
Huaibei Normal University
2015-2017
High Magnetic Field Laboratory
2017
Fayetteville State University
1999-2012
National Synchrotron Radiation Laboratory
2012
Dalian Ocean University
2012
Abstract This paper is concerned with well‐posedness of the incompressible magneto‐hydrodynamics (MHD) system. In particular, we prove existence a global mild solution in BMO −1 for small data which also unique space C ([0, ∞); ). We establish local bmo and its uniqueness T ); establishing our results an important role played by continuity bilinear form was proved previously Kock Tataru. this paper, give new proof result using weighted L p ‐boundedness maximal function. Copyright © 2006 John...
In this paper, we prove Wilker and Huygens type inequalities for inverse trigonometric functions.This solves two conjectures proposed by Chao-Ping Chen.Also, present new sharp functions.
After in situ baking, Non-evaporable getter (NEG) alloys are able to pump most of the gases present ultra-high vacuum systems. Titanium-Zirconium-Vanadium (TiZrV) NEG films, which exhibits lowest activation temperature, have been deposited on inner wall a stainless steel pipe via DC magnetron sputtering. Characterization TiZrV, including pumping performance, photon stimulated desorption (PSD) and secondary electron yield (SEY) carried out. A brief summary results is given as follows.
In this paper, we study the existence of periodic solutions neutral functional differential equations (NFDEs). A topological transversality theorem is used to obtain fixed points certain nonlinear compact operators, which correspond original equations. The method relies on a priori bounds family appropriately constructed NFDEs. general proved and several illustrative examples are given where use Liapunov-like functions in deriving such solutions. Due nature approach, applies as well NFDEs...
The authors consider the system of forced differential equations with variable delays x ′ ( t ) + ∑ j = 1 N B − τ F \eqno ∗ where Bj(t) is a continuous n × matrix on R+, ∈ C(R+, Rn) and R+). Using Razumikhin-type techniques Liapunov's direct method, they establish conditions to ensure ultimate boundedness global attractivity solutions (*), when F(t) 0, asymptotic stability zero solution. Under those same conditions, also show that ∫ 0 ∞ | d necessary sufficient condition for all above...
A simplified hydrodynamic model for semiconductor devices, where the energy equation is replaced by a pressure-density relationship, studied. The system of Euler–Poisson equations changed to quasilinear wave in Lagrangian mass coordinates. local existence smooth solution then obtained using known result equation.
In the paper, definition of h -geometrically convex functions is introduced, some properties are studied, and several integral inequality for newly defined established.
This paper studies the existence of solutions for two boundary value problems fractional p-Laplacian equation. Under certain nonlinear growth conditions nonlinearity, new results are obtained by using Schaefer’s fixed point theorem.
In this article, we study the existence of localized nodal solutions for semiclassical quasilinear Choquard equations with subcritical growth $$-\varepsilon^p \Delta_{p} v +V(x)|v|^{p-2}v = \varepsilon^{\alpha-N} |v|^{q-2}v \int_{\mathbb{R}^N} \frac{|v(y)|^q}{|x-y|^{\alpha}}\,dy ,\quad x \in \mathbb{R}^N\,, $$ where \(N\geq 3\), \(1<p<N\), \(0<\alpha <\min\{2p,N-1\}\), \(p<q<p_\alpha^*\), \(p_\alpha^*= \frac{p(2N-\alpha)}{2(N-p)}\), \(V\) is a bounded function. By...
In this article, we study the existence of localized nodal solutions for semiclassical Choquard equation with critical growth $$ -\epsilon^2 \Delta v +V(x)v = \epsilon^{\alpha-N}\Big(\int_{R^N} \frac{|v(y)|^{2_\alpha^*}}{|x-y|^{\alpha}}\,dy\Big) |v|^{2_\alpha^*-2}v +\theta|v|^{q-2}v,\; x \in R^N, where \(\theta>0\), \(N\geq 3\), \(0< \alpha<\min \{4,N-1\},\max\{2,2^*-1\}< q< 2 ^*\), \(2_\alpha^*= \frac{2N-\alpha}{N-2}\), \(V\) is a bounded function. By perturbation method and...
We consider the semiclassical states of Schrödinger-Poisson system: $-\varepsilon^{2}\Delta u+V(x)u+\phi(x)u=f(u)$ , $-\Delta\phi=u^{2}$ in $\mathbb{R}^{3}$ . By variational method, we construct a multi-peak solution $(u_{\varepsilon},\phi_{\varepsilon})$ around several given isolated positive local minimum components V as $\varepsilon\rightarrow0$ The nonlinearity f is critical growth. Moreover, monotonicity $f(s)/s^{3}$ and so-called Ambrosetti-Rabinowitz condition are not required.
This paper deals with the invertibility of convolution type operators that come from a wave diffraction problem reactance conditions on strip.The is reformulated as single operator finite interval.To develop an constructive approach, several matrix identities are established between this and certain new Wiener-Hopf operators, equivalent properties obtained all related operators.Factorizations presented for particular semi-almost periodic functions corresponding operators.As result, to ensure...
In this paper, we characterize the commuting (semi-commuting) and essentially of block dual Toeplitz operators.
We consider when the product of two Toeplitz operators with some quasihomogeneous symbols on Bergman space unit ball equals a operator symbols. also characterize finite-rank semicommutators or commutators
The full one-dimensional hydrodynamic model with small viscosity for semiconductor devices is studied.The selfconsistent in the sense that electric field, which forms a forcing term momentum and energy equations, determined by coupled Poisson equation.Global existence demonstrated model, shown to be equivalent non-standard integrodifferential equations.Finally, asymptotic behavior of smooth solution investigated.