Results 21 to 30 of about 16,809 (204)
If $B$ and $f(B)$ are Brownian motions, then $f$ is affine [PDF]
, 2015 It is shown that if the processes $B$ and $f(B)$ are both Brownian motions (without a random time change) then $f$ must be an affine function. As a by-product of the proof, it is shown that the only functions which are solutions to both the Laplace ...
Tehranchi, Michael R.
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Anti-eikonal equation of an eigenmirror
Journal of the Optical Society of America A, 2020 We call a surface that appears undistorted when viewed in a curved mirror an eigensurface and the mirror an eigenmirror. Such pairs are described by a first-order nonlinear partial differential equation of the form a 0 + a 1 u x + a 2
R Andrew, Hicks +2 more
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Connections between the Shadow Radius and the Quasinormal Modes of Kerr-Sen Black Hole
Universe, 2022 The correspondence between the shadow radius and the real part of the quasinormal modes (QNMs) of a Kerr–Sen black hole is studied. By using the equation of the shadow radius of Kerr–Sen black hole and the angular separation constant of the QNMs, the ...
Xianglong Wu, Xiangdong Zhang
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Eikonal equations in metric spaces [PDF]
Transactions of the American Mathematical Society, 2014 A new notion of a viscosity solution for Eikonal equations in a general metric space is introduced. A comparison principle is established. The existence of a unique solution is shown by constructing a value function of the corresponding optimal control theory.
Giga, Yoshikazu +2 more
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European Physical Journal C: Particles and Fields, 2019 The asymptotic behavior of the scattering amplitude for two scalar particles at high energies with fixed momentum transfers is studied. The study is done within the effective theory of quantum gravity based on quasi-potential equation.
Nguyen Suan Han +2 more
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Wave focusing by submerged islands and gravitational analogues
Physical Review Research, 2022 We study water waves propagating over a smooth obstacle in a fluid of varying depth, motivated by the observation that submerged islands in the ocean act as effective lenses that increase the amplitude and destructive power of tsunami waves near focal ...
Theo Torres +3 more
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Eikonal equations with discontinuities
Differential and Integral Equations, 1995 The authors consider the equation \(H(Du)= n(x)\) over an \(n\)-dimensional domain, where \(H\) is a convex functional, \(Du\) represents the \(x\)-gradient of \(u\) and \(n(x)\) is lower semicontinuous. A new notion of generalized solution for the problem under consideration is introduced and investigated from the variational approach.
Newcomb, Richard T., Su, Jianzhong
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An approximation scheme for an Eikonal Equation with discontinuous coefficient [PDF]
, 2013 We consider the stationary Hamilton-Jacobi equation where the dynamics can vanish at some points, the cost function is strictly positive and is allowed to be discontinuous. More precisely, we consider special class of discontinuities for which the notion
Adriano Festa +4 more
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Journal of Advanced Transportation, 2023 The macroscopic models for solving the pedestrian flow problem can be generally classified into two categories as follows: first-order continuum models and high-order continuum models.
L. Yang, H. Liang, J. Du, S. C. Wong
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