25 citations · 79 across the 19 of their papers we have counts for
9 papers · 1 filter
Resolvent Estimates for Viscoelastic Systems of Extended Maxwell Type and their Applications
Maarten V. de Hoop, Masato Kimura, Ching-Lung Lin +1
In the theory of viscoelasticity, an important class of models admits a representation in terms of springs and dashpots. Widely used members of this class are the Maxwell model and…
Quantitative estimate of the continuum approximations of interacting particle systems in one dimension
Masato Kimura, Patrick van Meurs
We consider a large class of interacting particle systems in 1D described by an energy whose interaction potential is singular and non-local. This class covers Riesz gases (in part…
The Lewy-Stampacchia Inequality for the Fractional Laplacian and Its Application to Anomalous Unidirectional Diffusion Equations
Pu-Zhao Kow, Masato Kimura
In this paper, we consider a Lewy-Stampacchia-type inequality for the fractional Laplacian on a bounded domain in Euclidean space. Using this inequality, we can show the well-posed…
Weak solutions for gradient flows under monotonicity constraints
Matteo Negri, Masato Kimura
We consider the gradient flow of a quadratic non-autonomous energy under monotonicity constraint in time and natural regularity assumptions. We provide first a notion of weak solut…
Analysis of a projection method for the Stokes problem using an -Stokes approach
Masato Kimura, Kazunori Matsui, Adrian Muntean +1
We generalize pressure boundary conditions of an -Stokes problem. Our -Stokes problem connects the classical Stokes problem and the corresponding pressure…
Regularity of the minimiser of one-dimensional interaction energies
M. Kimura, P. van Meurs
We consider both the minimisation of a class of nonlocal interaction energies over non-negative measures with unit mass and a class of singular integral equations of the first kind…