What is he best known for?
The fields of study he is best known for:
- Mathematical analysis
- Quantum mechanics
- Computer network
His scientific interests lie mostly in Mathematical analysis, Breaking wave, Initial value problem, Degasperis–Procesi equation and Waves and shallow water.
As part of his studies on Mathematical analysis, Yue Liu often connects relevant areas like Nonlinear system.
The various areas that Yue Liu examines in his Breaking wave study include Method of characteristics and Domain.
His Degasperis–Procesi equation study combines topics in areas such as Development, Line and Strong solutions.
His studies in Strong solutions integrate themes in fields like Structure and Singularity.
The Camassa–Holm equation study which covers Peakon that intersects with Character and Soliton.
His most cited work include:
- Global Existence and Blow-Up Phenomena for the Degasperis-Procesi Equation (237 citations)
- Global weak solutions and blow-up structure for the Degasperis–Procesi equation (229 citations)
- On the global existence and wave-breaking criteria for the two-component Camassa-Holm system (203 citations)
What are the main themes of his work throughout his whole career to date?
Yue Liu spends much of his time researching Mathematical analysis, Transport engineering, Camassa–Holm equation, Integrable system and Initial value problem.
His Mathematical analysis research includes elements of Breaking wave and Nonlinear system.
The study incorporates disciplines such as Compressibility, Gravitational singularity, Method of characteristics and Component in addition to Breaking wave.
In the subject of general Transport engineering, his work in Transit, Public transport and Traffic congestion is often linked to Empirical research, thereby combining diverse domains of study.
His work carried out in the field of Camassa–Holm equation brings together such families of science as Shallow water equations, Monotonic function, Dispersionless equation and Characteristic equation.
His Integrable system research focuses on Cubic nonlinearity and how it connects with Novikov self-consistency principle.
He most often published in these fields:
- Mathematical analysis (65.82%)
- Transport engineering (22.45%)
- Camassa–Holm equation (25.00%)
What were the highlights of his more recent work (between 2017-2021)?
- Waves and shallow water (16.33%)
- Mathematical analysis (65.82%)
- Rotation (11.22%)
In recent papers he was focusing on the following fields of study:
His primary areas of investigation include Waves and shallow water, Mathematical analysis, Rotation, Space and Initial value problem.
His Mathematical analysis study combines topics from a wide range of disciplines, such as Amplitude and Korteweg–de Vries equation.
His Rotation research incorporates themes from Breaking wave and Compressibility.
He interconnects Camassa–Holm equation and Sobolev space in the investigation of issues within Space.
The concepts of his Initial value problem study are interwoven with issues in Novikov self-consistency principle, Applied mathematics, Cubic nonlinearity and Hölder condition.
His study looks at the intersection of Integrable system and topics like Hamiltonian with Degasperis–Procesi equation and Real line.
Between 2017 and 2021, his most popular works were:
- Model Equations and Traveling Wave Solutions for Shallow-Water Waves with the Coriolis Effect (22 citations)
- Model Equations and Traveling Wave Solutions for Shallow-Water Waves with the Coriolis Effect (22 citations)
- On a shallow-water approximation to the Green–Naghdi equations with the Coriolis effect (19 citations)
In his most recent research, the most cited papers focused on:
- Mathematical analysis
- Quantum mechanics
- Computer network
His main research concerns Waves and shallow water, Rotation, Mathematical analysis, Space and Sobolev space.
His Waves and shallow water studies intersect with other subjects such as Mathematical model, Nonlinear system, Limit, Type and Forcing.
His Korteweg–de Vries equation research extends to Rotation, which is thematically connected.
His Space research integrates issues from Uniqueness and Camassa–Holm equation.
Yue Liu combines subjects such as Amplitude, Wavelength and Energy with his study of Sobolev space.
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