Results 31 to 40 of about 21,203 (171)
A simple PDE and Wiener‐Hopf Riccati equations
Communications on Pure and Applied Mathematics, 2005 AbstractWe investigate the PDE (1.1), concentrating on the case when σ < in which the boundary condition (1.1b) is not of Feller's type and we lose the minimum principle. Investigation of nonnegative solutions leads us to Wiener‐Hopf theory and to a Riccati equation.
Stroock, Daniel W., Williams, David
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IET Microwaves, Antennas &Propagation, Volume 18, Issue 12, Page 1055-1068, December 2024.The analysis of diffraction by a semi‐infinite parallel‐plate waveguide with partial material loading is rigorously carried out using the Wiener–Hopf technique for the H‐polarised plane wave incidence. The authors present representative numerical examples of the radar cross section for various physical parameters and discuss the far‐field scattering ...
Tong Zhang, Kazuya Kobayashi
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The Journal of Physiology, Volume 602, Issue 24, Page 6705-6727, 15 December 2024.Abstract figure legend Understanding cardiomyocyte stiffness components is an important priority for identifying new therapeutics for diastolic dysfunction, a key feature of cardiometabolic disease. In this study cardiac function was measured in vivo (echocardiography) for mice fed a high‐fat/sugar diet (HFSD, ≥25 weeks). Performance of intact isolated
Johannes V. Janssens +8 more
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The uniqueness of the Wiener–Hopf factorisation of Lévy processes and random walks
Bulletin of the London Mathematical Society, Volume 56, Issue 9, Page 2951-2968, September 2024.Abstract We prove that the spatial Wiener–Hopf factorisation of a Lévy process or random walk without killing is unique.
Leif Döring +3 more
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Long‐time existence of Brownian motion on configurations of two landmarks
Bulletin of the London Mathematical Society, Volume 56, Issue 5, Page 1658-1679, May 2024.Abstract We study Brownian motion on the space of distinct landmarks in Rd$\mathbb {R}^d$, considered as a homogeneous space with a Riemannian metric inherited from a right‐invariant metric on the diffeomorphism group. As of yet, there is no proof of long‐time existence of this process, despite its fundamental importance in statistical shape analysis ...
Karen Habermann +2 more
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, 1992 The properties of a discrete Wiener-Hopf equation are closely related to the factorization of the symbol of the equation. We give a necessary and sufficient condition for existence of a canonical Wiener-Hopf factorization of a possibly nonregular ...
M. Rakowski
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Bott‐integrable Reeb flows on 3‐manifolds
Journal of the London Mathematical Society, Volume 109, Issue 1, January 2024.Abstract This paper is devoted to studying a notion of Bott integrability for Reeb flows on contact 3‐manifolds. We show, in analogy with work of Fomenko–Zieschang on Hamiltonian flows in dimension 4, that Bott‐integrable Reeb flows exist precisely on graph manifolds.
Hansjörg Geiges +2 more
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The Solvability and Explicit Solutions of Singular Integral–Differential Equations with Reflection
Abstract and Applied Analysis, Volume 2024, Issue 1, 2024.This article deals with a classes of singular integral–differential equations with convolution kernel and reflection. By means of the theory of boundary value problems of analytic functions and the theory of Fourier analysis, such equations can be transformed into Riemann boundary value problems (i.e., Riemann–Hilbert problems) with nodes and ...
A. S. Nagdy +3 more
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Truncated Wiener–Hopf equation and matrix function factorization
Sibirskie Elektronnye Matematicheskie Izvestiya, 2020 The author considers the following convolution equation of second kind \[u(t)-\int_0^\tau k(t-s)u(s)\,ds=f(t)\] on the interval \((0,\tau)\), \(\tau>0\), where \(k\in L_1(-\tau,\tau)\) and \(f\in L_1(0,\tau)\). A~connection of this equation and the Riemann-Hilbert boundary value problem in the Wiener algebra whose matrix coefficient, denoted by \(G_ ...
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Hopf Bifurcations of Moore-Greitzer PDE Model with Additive Noise. [PDF]
J Nonlinear Sci, 2023 Meng Y, Namachchivaya NS, Perkowski N.
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