Shingo Takeuchi
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View article: Hydrothermal sealing process in a volcanic conduit interpreted from the characteristics of subvolcanic hydrothermal alterations at Tokachidake volcano, Japan
Hydrothermal sealing process in a volcanic conduit interpreted from the characteristics of subvolcanic hydrothermal alterations at Tokachidake volcano, Japan Open
At Tokachidake volcano, Japan, inflation of the crater area was observed alongside a decrease in fumarolic plume height during 2006–2017, which was attributed to conduit sealing. The accumulation of excess pressure owing to continuous seal…
View article: Properties of generalized Jacobi elliptic functions with three parameters
Properties of generalized Jacobi elliptic functions with three parameters Open
Jacobi elliptic functions and complete elliptic integrals are generalized using three parameters. These generalized functions and integrals are closely related to ordinary differential equations involving $p$-Laplacian. In this paper, Wall…
View article: Hydrothermal sealing process in a volcanic conduit interpreted from the characteristics of subvolcanic hydrothermal alterations at Tokachidake volcano, Japan
Hydrothermal sealing process in a volcanic conduit interpreted from the characteristics of subvolcanic hydrothermal alterations at Tokachidake volcano, Japan Open
At Tokachidake volcano, Japan, inflation of the crater area was observed alongside a decrease in fumarolic plume height during 2006–2017, which was considered to be due to conduit sealing. The accumulation of excess pressure owing to conti…
View article: Estimates for the first eigenvalue of the one-dimensional $p$-Laplacian
Estimates for the first eigenvalue of the one-dimensional $p$-Laplacian Open
In the present paper, we study the first eigenvalue $λ(p)$ of the one-dimensional $p$-Laplacian in the interval $(-1,1)$. We give an upper and lower estimate of $λ(p)$ and study its asymptotic behavior as $p \to 1+0$ or $p \to \infty$.
View article: Creating a digital database of tephra fallout distribution and frequency in Japan
Creating a digital database of tephra fallout distribution and frequency in Japan Open
Tephra fallout is a potential hazard to livelihoods, critical infrastructure, and health, even in areas that are far from volcanoes. Therefore, it is important to quantitatively evaluate tephra fall hazards for both residents and infrastru…
View article: Applications of a duality between generalized trigonometric and hyperbolic functions II
Applications of a duality between generalized trigonometric and hyperbolic functions II Open
Generalized trigonometric functions and generalized hyperbolic functions can be converted to each other by the duality formulas previously discovered by the authors. In this paper, we apply the duality formulas to prove dual pairs of Wilke…
View article: Applications of a duality between generalized trigonometric and hyperbolic functions II
Applications of a duality between generalized trigonometric and hyperbolic functions II Open
Generalized trigonometric functions and generalized hyperbolic functions can be converted to each other by the duality formulas previously discovered by the authors.In this paper, we apply the duality formulas to prove dual pairs of Wilker…
View article: Applications of a duality between generalized trigonometric and hyperbolic functions
Applications of a duality between generalized trigonometric and hyperbolic functions Open
It is shown that generalized trigonometric functions and generalized hyperbolic functions can be transformed from each other. As an application of this transformation, a number of properties for one immediately lead to the corresponding pr…
View article: Applications of a duality between generalized trigonometric and hyperbolic functions
Applications of a duality between generalized trigonometric and hyperbolic functions Open
It is shown that generalized trigonometric functions and generalized hyperbolic functions can be transformed from each other. As an application of this transformation, a number of properties for one immediately lead to the corresponding pr…
View article: Lyapunov-type inequalities for a Sturm-Liouville problem of the one-dimensional $p$-Laplacian
Lyapunov-type inequalities for a Sturm-Liouville problem of the one-dimensional $p$-Laplacian Open
This article considers the eigenvalue problem for the Sturm-Liouville problem including $p$-Laplacian \begin{align*} \begin{cases} \left(\vert u'\vert^{p-2}u'\right)'+\left(λ+r(x)\right)\vert u\vert ^{p-2}u=0,\,\, x\in (0,π_{p}),\\ u(0)=u(…
View article: Redheffer-type inequalities for generalized trigonometric functions
Redheffer-type inequalities for generalized trigonometric functions Open
Famous Redheffer's inequality is generalized to a class of anti-periodic functions. We apply the novel inequality to the generalized trigonometric functions and establish several Redheffer-type inequalities for these functions.
View article: Fragility and an extremely low shear modulus of high porosity silicic magma
Fragility and an extremely low shear modulus of high porosity silicic magma Open
<p>The rheology and strength of bubbly magma govern eruption dynamics by determining the possibility of fragmentation of ascending magmas. The rheology of magma also regulates the propagation velocity and attenuation of seismic waves…
View article: Probabilistic assessment of tephra fall hazards in Japan using a tephra fall distribution database
Probabilistic assessment of tephra fall hazards in Japan using a tephra fall distribution database Open
Tephra falls can disrupt critical infrastructure, including transportation and electricity networks. Probabilistic assessments of tephra fall hazards have been performed using computational techniques, but it is also important to integrate…
View article: Evaluation of Applicability of Monte–Carlo Simulation to Equipment Design of Radioactive Noble Gas Monitor
Evaluation of Applicability of Monte–Carlo Simulation to Equipment Design of Radioactive Noble Gas Monitor Open
A beta-sensitive plastic scintillation detector is used for radioactive noble gas monitors, and the response to determine specifications of the gas monitors varies depending on design parameters such as the sampler size, the detector sensi…
View article: Applications of generalized trigonometric functions with two parameters II
Applications of generalized trigonometric functions with two parameters II Open
Generalized trigonometric functions (GTFs) are simple generalization of the\nclassical trigonometric functions. GTFs are deeply related to the\n$p$-Laplacian, which is known as a typical nonlinear differential operator.\nCompared to GTFs w…
View article: Applications of generalized trigonometric functions with two parameters
Applications of generalized trigonometric functions with two parameters Open
Generalized trigonometric functions (GTFs) are simple generalization of the\nclassical trigonometric functions. GTFs are deeply related to the\n$p$-Laplacian, which is known as a typical nonlinear differential operator, and\nthere are a lo…
View article: Coarse-graining of the Einstein-Hilbert Action rewritten with the two-dimensional Fisher information metric
Coarse-graining of the Einstein-Hilbert Action rewritten with the two-dimensional Fisher information metric Open
In this study, considering the Fisher information metric given by the statistical average, we rewrite the Einstein-Hilbert (EH) action. Then, determining the transformation rules of the Fisher metric, etc under the coarse-graining, we perf…
View article: Complete (p,q)-elliptic integrals with application to a family of means
Complete (p,q)-elliptic integrals with application to a family of means Open
The complete elliptic integrals are generalized by using the generalized trigonometric functions with two parameters. It is shown that a particular relation holds for the generalized integrals. Moreover, as an application of the integrals,…
View article: Legendre-type relations for generalized complete elliptic integrals
Legendre-type relations for generalized complete elliptic integrals Open
Legendre's relation for the complete elliptic integrals of the first and\nsecond kinds is generalized. The proof depends on an application of the\ngeneralized trigonometric functions and is alternative to the proof for\nElliott's identity.…