What is he best known for?
The fields of study he is best known for:
- Mathematical analysis
- Quantum mechanics
- Partial differential equation
His primary areas of study are Mathematical analysis, Boltzmann equation, Compressibility, Initial value problem and Sobolev space.
His work in the fields of Mathematical analysis, such as Uniqueness, intersects with other areas such as Rate of convergence.
The Boltzmann equation study combines topics in areas such as Boltzmann constant, Exponential stability, Classical mechanics, Singularity and Convection–diffusion equation.
His studies deal with areas such as Flow and Isentropic process as well as Compressibility.
Tong Yang has researched Initial value problem in several fields, including Mathematical theory and Boundary value problem.
Tong Yang focuses mostly in the field of Sobolev space, narrowing it down to topics relating to Cutoff and, in certain cases, Work and H-theorem.
His most cited work include:
- Vacuum states for compressible flow (190 citations)
- Compressible Navier-Stokes equations with degenerate viscosity coefficient and vacuum (172 citations)
- Energy method for Boltzmann equation (165 citations)
What are the main themes of his work throughout his whole career to date?
His primary areas of investigation include Mathematical analysis, Boltzmann equation, Initial value problem, Nonlinear system and Prandtl number.
The various areas that Tong Yang examines in his Mathematical analysis study include Perturbation and Boundary layer.
The concepts of his Boltzmann equation study are interwoven with issues in Boltzmann constant, Classical mechanics, Cutoff, Singularity and Lattice Boltzmann methods.
The Initial value problem study which covers Poisson–Boltzmann equation that intersects with Poisson's equation and Electric field.
His Nonlinear system research integrates issues from Conservation law and Partial differential equation.
He combines subjects such as Well posedness, Shear flow and Monotonic function with his study of Prandtl number.
He most often published in these fields:
- Mathematical analysis (96.50%)
- Boltzmann equation (42.02%)
- Initial value problem (21.40%)
What were the highlights of his more recent work (between 2015-2021)?
- Mathematical analysis (96.50%)
- Prandtl number (22.57%)
- Boundary layer (19.84%)
In recent papers he was focusing on the following fields of study:
His main research concerns Mathematical analysis, Prandtl number, Boundary layer, Boltzmann equation and Magnetohydrodynamics.
His research in Mathematical analysis intersects with topics in Compressibility, Exponential decay and Inviscid flow.
His Prandtl number study integrates concerns from other disciplines, such as Function space, Shear flow, Well posedness, Monotonic function and Degenerate energy levels.
His work deals with themes such as Boundary value problem, Limit and Perturbation, which intersect with Boundary layer.
His biological study spans a wide range of topics, including Boltzmann constant, Poisson–Boltzmann equation, Cutoff and Nonlinear system.
His work carried out in the field of Magnetohydrodynamics brings together such families of science as Vector field and Mechanics.
Between 2015 and 2021, his most popular works were:
- On the Ill-Posedness of the Prandtl Equations in Three-Dimensional Space (29 citations)
- On the Ill-Posedness of the Prandtl Equations in Three-Dimensional Space (29 citations)
- A well-posedness theory for the Prandtl equations in three space variables (29 citations)
In his most recent research, the most cited papers focused on:
- Mathematical analysis
- Quantum mechanics
- Partial differential equation
His scientific interests lie mostly in Mathematical analysis, Prandtl number, Boundary layer, Shear flow and Boltzmann equation.
His work on Variable as part of his general Mathematical analysis study is frequently connected to Rate of convergence, thereby bridging the divide between different branches of science.
His Prandtl number study combines topics in areas such as Gevrey class, Sobolev space, Well posedness, Monotonic function and Degenerate energy levels.
The study incorporates disciplines such as Magnetohydrodynamics, Perturbation and Boundary value problem in addition to Boundary layer.
His study in Boltzmann equation is interdisciplinary in nature, drawing from both Superposition principle, Euler equations, Rarefaction, Spectrum and Schwartz space.
Tong Yang has included themes like Initial value problem, Distribution function, Exponential growth and Electric field in his Poisson–Boltzmann equation study.
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