What is he best known for?
The fields of study he is best known for:
- Mathematical analysis
- Thermodynamics
- Partial differential equation
Mathematical analysis, Conservation law, Nonlinear system, Hyperbolic partial differential equation and Applied mathematics are his primary areas of study.
His Mathematical analysis study integrates concerns from other disciplines, such as Coupling and Boltzmann equation.
As a part of the same scientific study, Tai-Ping Liu usually deals with the Coupling, concentrating on Lattice Boltzmann methods and frequently concerns with Classical mechanics.
The various areas that Tai-Ping Liu examines in his Boltzmann equation study include Convection–diffusion equation and Exponential stability.
His biological study spans a wide range of topics, including Riemann hypothesis, Shock wave, Norm and Dissipative system.
His Nonlinear system study integrates concerns from other disciplines, such as Euler equations, Compressibility, Inviscid flow, Relaxation system and Entropy.
His most cited work include:
- Hyperbolic conservation laws with stiff relaxation terms and entropy (557 citations)
- Hyperbolic conservation laws with relaxation (459 citations)
- Nonlinear Stability of Shock Waves for Viscous Conservation Laws (294 citations)
What are the main themes of his work throughout his whole career to date?
Tai-Ping Liu mostly deals with Mathematical analysis, Conservation law, Nonlinear system, Shock wave and Mechanics.
His studies in Mathematical analysis integrate themes in fields like Boundary, Boltzmann equation and Dissipative system.
His research integrates issues of Convection–diffusion equation, Knudsen number, Kinetic theory of gases, Fourier analysis and Lattice Boltzmann methods in his study of Boltzmann equation.
His Conservation law research focuses on subjects like Classical mechanics, which are linked to Flow.
Tai-Ping Liu interconnects Pointwise and Shock in the investigation of issues within Nonlinear system.
His Shock wave research includes elements of Wave propagation and Nonlinear stability.
He most often published in these fields:
- Mathematical analysis (66.82%)
- Conservation law (35.51%)
- Nonlinear system (27.10%)
What were the highlights of his more recent work (between 2006-2019)?
- Mathematical analysis (66.82%)
- Boltzmann equation (24.77%)
- Boundary value problem (15.89%)
In recent papers he was focusing on the following fields of study:
The scientist’s investigation covers issues in Mathematical analysis, Boltzmann equation, Boundary value problem, Boundary and Mechanics.
His Mathematical analysis research is multidisciplinary, relying on both Function and Dissipative system.
His Boltzmann equation research incorporates elements of Knudsen number and Mach number.
The study incorporates disciplines such as Lattice Boltzmann methods and Kinetic theory of gases in addition to Boundary.
His biological study spans a wide range of topics, including Tangent, Classical mechanics and Isothermal process.
His Classical mechanics research is multidisciplinary, incorporating perspectives in Conservation law and Nonlinear system.
Between 2006 and 2019, his most popular works were:
- Supersonic flow onto a solid wedge (79 citations)
- Supersonic flow onto a solid wedge (79 citations)
- Initial‐boundary value problem for one‐dimensional wave solutions of the Boltzmann equation (49 citations)
In his most recent research, the most cited papers focused on:
- Mathematical analysis
- Partial differential equation
- Thermodynamics
Tai-Ping Liu mainly focuses on Boltzmann equation, Mathematical analysis, Classical mechanics, Mechanics and Boundary value problem.
In his work, Pointwise, Pipe flow, Temperature gradient and Flow velocity is strongly intertwined with Knudsen number, which is a subfield of Boltzmann equation.
His studies deal with areas such as Function, Green's function and Boundary as well as Mathematical analysis.
His studies examine the connections between Green's function and genetics, as well as such issues in Shock, with regards to Shock wave.
His work deals with themes such as Flow, Wave propagation, Supersonic speed and Isothermal process, which intersect with Classical mechanics.
He has included themes like Tangent, Conservation law, Wedge and Nonlinear system in his Mechanics study.
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