A5007387229- Advanced Mathematical Modeling in Engineering
- Nonlinear Partial Differential Equations
- Hydrology and Watershed Management Studies
- Differential Equations and Numerical Methods
- Numerical methods in inverse problems
- Groundwater flow and contamination studies
- Stability and Controllability of Differential Equations
- Nonlinear Differential Equations Analysis
- Differential Equations and Boundary Problems
- Cryospheric studies and observations
- Mathematical Biology Tumor Growth
- Soil and Unsaturated Flow
- Landslides and related hazards
- Air Quality Monitoring and Forecasting
- Atmospheric chemistry and aerosols
- Soil Moisture and Remote Sensing
- Hydrology and Sediment Transport Processes
- Seismic Imaging and Inversion Techniques
- Geoscience and Mining Technology
- Civil and Geotechnical Engineering Research
- Air Quality and Health Impacts
- Underwater Acoustics Research
- Water Systems and Optimization
- Hydrological Forecasting Using AI
- Advanced Mathematical Physics Problems
Shanxi University of Finance and Economics
2022-2025
Hohai University
2021-2024
State Key Laboratory of Hydrology-Water Resources and Hydraulic Engineering
2021-2022
Shanxi University
2016-2022
Chinese Academy of Sciences
2021
Xiangtan University
2013
Abstract The redistribution of hillslope soil water during and after rainstorms is affected by properties topography. Therefore, understanding how soil‐terrain attributes affect the volumetric content (VWC) distribution under various catchment storages a prerequisite for accurate hydrological modeling. Herein, relationships between VWC were examined in steep (average slope = 60%), forested, zero‐order catchment. Detailed topography, properties, runoff, high frequency (6‐min) moisture data...
This paper is concerned with a reaction–diffusion system gradient terms under Robin boundary conditions {(h(u))t=∇⋅(|∇u|p−2∇u)+f(u,v,|∇u|2,t)inΩ×(0,t∗),(r(v))t=∇⋅(|∇v|q−2∇v)+g(u,v,|∇v|2,t)inΩ×(0,t∗),∂u∂ν+γu=0,∂v∂ν+σv=0on∂Ω×(0,t∗),u(x,0)=u0(x)≥0,v(x,0)=v0(x)≥0inΩ¯,where p, q>2 and Ω⊂RN(N≥2) bounded domain smooth boundary. Under some suitable assumptions, sufficient condition that ensures the positive solution blows up in finite time obtained. Meanwhile, upper bound for blow-up estimate rate...
The source-responsive method (SRM), which accounts for film flow in macropores and matrix absorption phenomena, is an advanced dual-domain modeling framework has been successfully applied catchment scale. It also provides a parameter-predictive approach by introducing parameter, M, to represent macropore area density. However, the capability of this parameter accurately reflect structure remains unclear. In study, 1-D infiltration model based on SRM was developed simulate soil water dynamics...
Topography strongly controls soil moisture redistribution in forested mountain catchments. However, how terrain-related regulates the distribution of Moso bamboo (Phyllostachys edulis) remains unclear. In this study, we addressed occurrence and by examining water dynamics at Hemuqiao Experimental Station southeastern China. The study was initially conducted on a steep 0.31-ha hillslope. Detailed topography, runoff, high frequency (6-min) data were collected. Both linear (all-possible-subset...
This paper is devoted to the study of blow‐up phenomena following nonlinear reaction diffusion equations with Robin boundary conditions: urn:x-wiley:mma:media:mma4697:mma4697-math-0001 Here, a bounded convex domain smooth boundary. With aid differential inequality technique and maximum principles, we establish or non–blow‐up criterion under some appropriate assumptions on functions f , g ρ k u 0 . Moreover, dedicate an upper bound lower for time when blowup occurs.
Abstract In humid hilly regions, macropore preferential flow in soils dominates the distribution of event water, thereby influencing generation and development runoff. However, mechanism how soil functions on drainage matrix absorption remains poorly understood due to complex water dynamics a multi‐porosity subsurface network. this study, based source‐responsive method that divides into diffusive domains, allocation ratio infiltrated macropores recharging were derived it was coupled with...
Abstract The naturally existing diffusive flow provides revisited values for the multiple direction (MFD) algorithm digital elevation models. However, since is uniformly distributed over a grid cell, MFD algorithms can hardly force to propagate within finite region without arbitrary dispersion. In this study, an i mproved T riangular F orm‐based M ultiple Flow Algorithm called iTFM proposed limit dispersion by considering nonuniform domain in cell. new algorithm, routed between facets rather...
Endorheic basins are important geomorphological and ecological units on the Qinghai-Tibet Plateau (QTP), which is undergoing a rapid evolution of its lake system structure drainage reorganization that threatening local ecology, infrastructures residuals owing to climate change. This dataset provides detailed delineation classification endorheic QTP for understanding complex dynamics under changes. A newly-developed algorithm, namely Joint Elevation-Area Threshold (JEAT) algorithm (Liu et al,...
In this paper, we consider a quasilinear reaction diffusion equation with Neumann boundary conditions in bounded domain. Basing on Sobolev inequality and differential technique, obtain upper lower bounds for the blow-up time of solution. An example is also given to illustrate abstract results obtained paper.
In this paper, we investigate the blow-up phenomena for following reaction-diffusion model with nonlocal and gradient terms: <math xmlns="http://www.w3.org/1998/Math/MathML" id="M1"> <mfenced open="{" close="" separators="|"> <mrow> <mtable class="smallmatrix"> <mtr> <mtd> <msub> <mi>u</mi> </mrow> <mi>t</mi> </msub> <mo>=</mo> <mi mathvariant="normal">Δ</mi> <mo>+</mo> <mi>a</mi> <msup> <mi>p</mi> </msup> open="(" close=")" <mstyle displaystyle="true"> <mo stretchy="false">∫</mo>...
This paper considers the blow‐up phenomena for following reaction‐diffusion problem with nonlocal and gradient terms: Here m > 1, Ω ⊂ ℝ N ( ≥ 2) is a bounded convex domain smooth boundary. Applying Sobolev inequality differential technique, lower bounds time when occurs are given. Moreover, two examples given as applications to illustrate abstract results obtained in this paper.
A physical model demonstrating critical zone structure and flow processes in headwatersXuhui Shen1,2, Jintao Liu1,2*, Wanjie Wang2, Xiaole Han1,3, Jie Zhang2, Guofang Li2, Xiaopeng Li4, Yue Shi2___________________1 State Key Laboratory of Hydrology-Water Resources Hydraulic Engineering, Hohai University, Nanjing 210098, China2 College Hydrology Water Resources, China3 School Earth Sciences 211100, China4 Institute Soil Science, Chinese Academy Sciences, Nanjing, Jiangsu 210008,...
Video S1. A novel physical model demonstrating critical zone structure and flow processes in headwaters for teaching research purposes Please note: The publisher is not responsible the content or functionality of any supporting information supplied by authors. Any queries (other than missing content) should be directed to corresponding author article.
Abstract This paper deals with the blow-up phenomena connected to following porous-medium problem gradient terms under Robin boundary conditions: $$ \textstyle\begin{cases} u_{t}=\Delta u^{m}+k_{1}u^{p}-k_{2} \vert \nabla u ^{q} & \text{in } \Omega\times(0,t^{*}), \\ \frac{\partial u}{\partial\nu}+\gamma u=0 &\text{on \partial\Omega\times(0,t^{*}), u(x,0)=u_{0}(x)\geq0 &\text{in \overline{\Omega}, \end{cases} <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow>...