Zobrazeno 1 - 10
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pro vyhledávání: '"Giga, Yoshikazu"'
We consider a total variation type energy which measures the jump discontinuities different from usual total variation energy. Such a type of energy is obtained as a singular limit of the Kobayashi-Warren-Carter energy with minimization with respect
Externí odkaz:
http://arxiv.org/abs/2408.04228
Autor:
Giga, Yoshikazu, Gu, Zhongyang
A dryout point is recognized as the position where the phase transition from liquid to vapor occurs. In the one-dimensional case, by solving the stationary incompressible Navier-Stokes-Fourier equations with phase transition, we derive a necessary an
Externí odkaz:
http://arxiv.org/abs/2403.15718
Autor:
Eto, Tokuhiro, Giga, Yoshikazu
We consider a minimizing movement scheme of Chambolle type for the mean curvature flow equation with prescribed contact angle condition in a smooth bounded domain in $\mathbb{R}^d$ ($d\geq2$). We prove that an approximate solution constructed by the
Externí odkaz:
http://arxiv.org/abs/2402.16180
Total variation gradient flows are important in several applied fields, including image analysis and materials science. In this paper, we review a few basic topics including definition of a solution, explicit examples and the notion of calibrability,
Externí odkaz:
http://arxiv.org/abs/2401.17179
Autor:
Furukawa, Ken, Giga, Yoshikazu, Hieber, Matthias, Hussein, Amru, Kashiwabara, Takahito, Wrona, Marc
The primitive equations are derived from the $3D$-Navier-Stokes equations by the hydrostatic approximation. Formally, assuming an $\varepsilon$-thin domain and anisotropic viscosities with vertical viscosity $\nu_z=\mathcal{O}(\varepsilon^\gamma)$ wh
Externí odkaz:
http://arxiv.org/abs/2312.03418
Autor:
Giga, Yoshikazu, Ueda, Yuki
We propose a model to describe an evolution of a bubble cluster with rupture. In a special case, the equation is reduced to a single parabolic equation with evaporation for the thickness of a liquid layer covering bubbles. We postulate that a bubble
Externí odkaz:
http://arxiv.org/abs/2308.04754
Autor:
Giga, Yoshikazu, Gu, Zhongyang
We consider a space of $L^2$ vector fields with bounded mean oscillation whose ``normal'' component to the boundary is well-controlled. In the case when the dimension $n \geq 3$, we establish its Helmholtz decomposition for arbitrary uniformly $C^3$
Externí odkaz:
http://arxiv.org/abs/2307.09842
Autor:
Giga, Yoshikazu, Kubo, Ayato, Kuroda, Hirotoshi, Okamoto, Jun, Sakakibara, Koya, Uesaka, Masaaki
This paper is concerned with a singular limit of the Kobayashi-Warren-Carter system, a phase field system modelling the evolutions of structures of grains. Under a suitable scaling, the limit system is formally derived when the interface thickness pa
Externí odkaz:
http://arxiv.org/abs/2306.15235
We propose a level-set method for a mean curvature flow whose boundary is prescribed by interpreting the boundary as an obstacle. Since the corresponding obstacle problem is globally solvable, our method gives a global-in-time level-set mean curvatur
Externí odkaz:
http://arxiv.org/abs/2306.14218
Autor:
Eto, Tokuhiro, Giga, Yoshikazu
We introduce a capillary Chambolle type scheme for mean curvature flow with prescribed contact angle. Our scheme includes a capillary functional instead of just the total variation. We show that the scheme is well-defined and has consistency with the
Externí odkaz:
http://arxiv.org/abs/2305.13025