Members

Partial Differential Equations
Construction of solutions to Schrödinger equations by representation of the solutions via wave packet transform, which is developped by our laboratory.
mail: kato ATrsDOTtusDOTac.jp

Nonlinear Partial Differential Equations
Stability of solitary waves for nonlinear dispersive wave equations such as nonlinear Schrödinger equations and nonlinear Klein-Gordon equations.
mail: mohta ATrsDOTtusDOTac.jp

Partial Differential Equations, Nonlinear Analysis
Mathematical analysis of existence and asymptotic behavior of solutions to nonlinear partial differential equations appearing in mathematical biology.
mail: yokota ATrsDOTtusDOTac.jp
Elliptic differential equations via variational methods
Solutions of nonlinear differential equations with the p-Laplace operator
mail: miekotanaka ATrsDOTtusDOTac.jp

Quantum Many-Body Theory
Superfluidity and quantum phase transitions in ultracold quantum gases
mail: nikuni ATrsDOTtusDOTac.jp
mail: ishiwata ATrsDOTtusDOTac.jp

Applications of Dynamical Systems Theory, Mathematical Fluid Mechanics
Dynamical systems analysis of nonlinear phenomena in fluid mechanics (such as stability and turbulence) and information science (such as machine learning and data assimilation)
mail: inubushi ATrsDOTtusDOTac.jp

Nonlinear analysis
Asymptotic behavior of solutions to nonlinear differential equations appearing in mathematical biology
mail: yenatsuATrsDOTtusDOTac.jp

Partial Differential Equations
Scattering theory, inverse scattering, spectral and embedded eigenvalues for Schrödinger equations
mail: aishida ATrsDOTtusDOTac.jp

Applied Analysis
- Mathematical and Numerical Analysis on blow-up solutions for Partial Differential Equations
- Study on mathematical models of infectious diseases
- Study on mathematical models of crowd evacuation
mail: ATrsDOTtusDOTac.jp

mail: ATrsDOTtusDOTac.jp
mail: ATrsDOTtusDOTac.jp
Nonlinear Partial Differential Equations
Existence of solutions to nonlinear partial differential equations such as phase field systems
mail: skurimaATrsDOTtusDOTac.jp

Partial Differential Equations
Analysis of solutions for magnetic Schrödinger equations by wave packet transform such as existence in specific function spaces.
mail: rmuramatsuATrsDOTtusDOTac.jp

Partial differential equations
Mathematical analysis of existence and properties of solutions to partial differential equations appearing in mathematical biology
mail: ChiyoATrsDOTtusDOTac.jp

Harmonic Analysis
Analysis of function spaces around Morrey spaces
mail:tnogayamaATrsDOTtusDOTac.jp