Masato Kimura

Professor

Kanazawa University

Japan

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About

Masato Kimura is a Professor at Kanazawa University, Japan. His research focuses on mathematical models in fluid dynamics and fracture mechanics, evident from his recent articles that explore well-posedness in Hele–Shaw-like systems, variational fracture models, and multiphase flow modeling. He is also actively studying numerical methods for moving boundary problems and their applications in various physical contexts.

Articles (14)

On the well-posedness of a Hele–Shaw-like system resulting from an inverse geometry problem formulated through a shape optimization setting

Year:

2025

What is the physical origin of the gradient flow structure of variational fracture models?

Year:

2024

An energy estimate and a stabilized Lagrange–Galerkin scheme for a multiphase flow model

Year:

2024

Comoving mesh method for multi-dimensional moving boundary problems: Mean-curvature flow and Stefan problems

Year:

2024

Correction: Islam et al. Generalized Moment Method for Smoluchowski Coagulation Equation and Mass Conservation Property. Mathematics 2023, 11, 2770

Year:

2023

Generalized Moment Method for Smoluchowski Coagulation Equation and Mass Conservation Property

Year:

2023

A Two-Step Lagrange–Galerkin Scheme for the Shallow Water Equations with a Transmission Boundary Condition and Its Application to the Bay of Bengal Region—Part I: Flat Bottom Topography

Year:

2023

Universal approximation properties for an ODENet and a ResNet: Mathematical analysis and numerical experiments

Year:

2023

Phase Field Models for Thermal Fracturing and Their Variational Structures

Year:

2022

Correction: Alfat et al. Phase Field Models for Thermal Fracturing and Their Variational Structures. Materials 2022, 15, 2571

Year:

2022

Comoving mesh method for certain classes of moving boundary problems

Year:

2022

Numerical crack path selection problem based on energy profiles

Year:

2022

Preface to the special issue for the selected papers of the Czech-Japanese Seminar in Applied Mathematics 2021

Year:

2022

THE LEWY-STAMPACCHIA INEQUALITY FOR THE FRACTIONAL LAPLACIAN AND ITS APPLICATION TO ANOMALOUS UNIDIRECTIONAL DIFFUSION EQUATIONS

Year:

2022

Collaborators (2)

Hirofumi Notsu

Professor

Kanazawa University

JAPAN

Kazunori Matsui

Assistant Professor

Seikei University

JAPAN

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