Results 71 to 80 of about 2,806 (244)
Mathematical Methods in the Applied Sciences, Volume 49, Issue 4, Page 3353-3384, 15 March 2026.ABSTRACT The article examines a boundary‐value problem in a bounded domain Ωε$$ {\Omega}_{\varepsilon } $$ consisting of perforated and imperforate regions, with Neumann conditions prescribed at the boundaries of the perforations. Assuming the porous medium has symmetric, periodic structure with a small period ε$$ \varepsilon $$, we analyze the limit ...
Taras Melnyk
wiley +1 more source
Electronic Journal of Differential Equations, 2005 The free undamped infinitesimal transverse vibrations of a thin straight beam are modelled by a forth-order differential equation. This paper investigates the families of fourth-order systems which have one spectrum in common, and correspond to four ...
Kazem Ghanbari
doaj
Cumhuriyet Science Journal, 2019 It is purpose of this paper to investigateSturm-Liouville equation on many-interval with the eigenvalue parameter appearing linearly in theboundary conditions and with two supplementary transmission conditions.
Hayati Olğar
doaj +1 more source
Journal of Function Spaces, 2020 This paper deals with a singular (Weyl’s limit circle case) non-self-adjoint (dissipative) Dirac operator with eigenparameter dependent boundary condition and finite general transfer conditions.
Kun Li +3 more
doaj +1 more source
The Canadian Journal of Chemical Engineering, Volume 104, Issue 3, Page 1372-1386, March 2026.This work demonstrates the application of neural ordinary differential equations (neural ODEs) for learning hydrocracking reaction kinetics directly from data, achieving robust predictions under noise and sparsity while preserving mechanistic interpretability through gradient‐based analysis of temperature‐ and concentration‐dependent reaction rates ...
Souvik Ta +2 more
wiley +1 more source
Ghost effect from Boltzmann theory
Communications on Pure and Applied Mathematics, Volume 79, Issue 3, Page 558-675, March 2026.Abstract Taking place naturally in a gas subject to a given wall temperature distribution, the “ghost effect” exhibits a rare kinetic effect beyond the prediction of classical fluid theory and Fourier law in such a classical problem in physics. As the Knudsen number ε$\varepsilon$ goes to zero, the finite variation of temperature in the bulk is ...
Raffaele Esposito +3 more
wiley +1 more source
Reinforcement Learning Enabled Nanophotonic Devices
Laser &Photonics Reviews, Volume 20, Issue 6, 18 March 2026.A reinforcement learning algorithm is used to design photonic devices. The method creates metagratings and grating couplers that efficiently control both the direction and polarization of light. Further, a reinforcement learning approach is used to design in‐plane integrated photonic devices. This approach paves the way for advanced photonic components
Zi Wang +4 more
wiley +1 more source
Self-adjointness of deformed unbounded operators [PDF]
Journal of Mathematical Physics, 2015 We consider deformations of unbounded operators by using the novel construction tool of warped convolutions. By using the Kato-Rellich theorem, we show that unbounded self-adjoint deformed operators are self-adjoint if they satisfy a certain condition.
openaire +2 more sources
Magnetic Resonance in Medicine, Volume 95, Issue 3, Page 1513-1527, March 2026.ABSTRACT Purpose Pediatric craniofacial imaging may involve examination of both the skull and brain tissues via CT and MRI, respectively. DREAMER (Dual Repetition and Echo Acquisition with Multi‐contrast Encoding and Reconstruction) simultaneously acquires solid‐ and soft‐tissue images, potentially providing a rapid, high‐resolution, and radiation‐free
Brian‐Tinh Duc Vu +8 more
wiley +1 more source
Functions of Several Self-Adjoint Operators [PDF]
Proceedings of the American Mathematical Society, 1968 Hermann Weyl, in [6], defined a functional calculus to deal with the unbounded selfadjoint operators of differentiation and multiplication by a position coordinate. In this paper we examine this calculus in the case of bounded operators.' We let x be a vector (xi, * , x ,) in Rn, dx=dxi ... dXn, (X, x)=XIxI+ * +Xnxn.
openaire +2 more sources