What is he best known for?
The fields of study he is best known for:
- Mathematical analysis
- Quantum mechanics
- Partial differential equation
Yihong Du mainly focuses on Mathematical analysis, Free boundary problem, Logistic function, Bounded function and Space.
His study on Mathematical analysis is mostly dedicated to connecting different topics, such as Nonlinear system.
His Free boundary problem study combines topics in areas such as Infinity and Upper and lower bounds.
The concepts of his Logistic function study are interwoven with issues in Mathematical economics, Distribution, Degenerate energy levels and Differential equation.
His Bounded function research includes elements of Omega, Mathematical physics, Partial differential equation, Quarter period and Jacobi elliptic functions.
His Space research includes themes of Limiting case, Stefan problem, Robin boundary condition, Special case and Weak solution.
His most cited work include:
- Spreading-Vanishing Dichotomy in the Diffusive Logistic Model with a Free Boundary (287 citations)
- Blow-Up Solutions for a Class of Semilinear Elliptic and Parabolic Equations (180 citations)
- Spreading and vanishing in nonlinear diffusion problems with free boundaries (175 citations)
What are the main themes of his work throughout his whole career to date?
His primary areas of study are Mathematical analysis, Bounded function, Type, Combinatorics and Free boundary problem.
The various areas that Yihong Du examines in his Mathematical analysis study include Pure mathematics and Nonlinear system.
Yihong Du interconnects Domain and Mathematical physics in the investigation of issues within Bounded function.
Yihong Du works mostly in the field of Combinatorics, limiting it down to topics relating to Omega and, in certain cases, Degenerate energy levels, as a part of the same area of interest.
The study incorporates disciplines such as Space, Space dimension and Boundary model in addition to Free boundary problem.
His work investigates the relationship between Boundary value problem and topics such as Bifurcation theory that intersect with problems in Reaction–diffusion system.
He most often published in these fields:
- Mathematical analysis (75.86%)
- Bounded function (21.84%)
- Type (17.82%)
What were the highlights of his more recent work (between 2017-2021)?
- Mathematical analysis (75.86%)
- Type (17.82%)
- Boundary model (5.75%)
In recent papers he was focusing on the following fields of study:
Yihong Du focuses on Mathematical analysis, Type, Boundary model, Space dimension and Bounded function.
His Mathematical analysis study incorporates themes from Diffusion equation and Nonlinear system.
Within one scientific family, Yihong Du focuses on topics pertaining to Real line under Nonlinear system, and may sometimes address concerns connected to Reaction–diffusion system.
His Boundary model study combines topics from a wide range of disciplines, such as Diffusion operator and Mathematical physics.
He focuses mostly in the field of Bounded function, narrowing it down to matters related to Combinatorics and, in some cases, Omega.
His study focuses on the intersection of Class and fields such as Dynamics with connections in the field of Degenerate energy levels.
Between 2017 and 2021, his most popular works were:
- The dynamics of a Fisher-KPP nonlocal diffusion model with free boundaries (28 citations)
- Revisiting the Fisher-Kolmogorov-Petrovsky-Piskunov equation to interpret the spreading-extinction dichotomy (25 citations)
- Spreading in a Shifting Environment Modeled by the Diffusive Logistic Equation with a Free Boundary (23 citations)
In his most recent research, the most cited papers focused on:
- Mathematical analysis
- Quantum mechanics
- Partial differential equation
Type, Mathematical analysis, Statistical physics, Boundary model and Class are his primary areas of study.
Mathematical analysis and Term are frequently intertwined in his study.
His Statistical physics research focuses on Reaction–diffusion system and how it connects with Linearization, Traveling wave and Stefan problem.
His research on Class frequently links to adjacent areas such as Limit.
His study in Dynamics is interdisciplinary in nature, drawing from both Diffusion operator and Degenerate energy levels.
His research in Work intersects with topics in Uniqueness and Free boundary problem.
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