Results 91 to 100 of about 988,939 (305)
Nonlinear self adjointness, conservation laws and exact solutions of ill-posed Boussinesq equation
Open Physics, 2016 In this work, we consider the ill-posed Boussinesq equation which arises in shallow water waves and non-linear lattices. We prove that the ill-posed Boussinesq equation is nonlinearly self-adjoint.
Yaşar Emrullah +2 more
doaj +1 more source
On convergence rates of adaptive ensemble Kalman inversion for linear ill-posed problems. [PDF]
Numer Math (Heidelb), 2022 Parzer F, Scherzer O.
europepmc +1 more source
Interaction‐Driven Assembly Pathways in Heterogeneous Active Microrobotic Systems
Advanced Functional Materials, EarlyView.Peanut‐ and cube‐shaped light‐powered microrobots exhibit distinct magnetic and photocatalytic responses that determine their heterogeneous self‐assembly. In the dark, magnetic dipole interactions drive colloidal copolymerization with cubes acting as nucleation centers, whereas under light irradiation, phoretic interactions compete with magnetic ...
Domenico Calabrò +5 more
wiley +1 more source
Frontiers in Physiology, 2019 The electrocardiographic imaging (ECGI) inverse problem highly relies on adding constraints, a process called regularization, as the problem is ill-posed.
Judit Chamorro-Servent +9 more
doaj +1 more source
Magnetic Induction Tomography: Separation of the Ill-Posed and Non-Linear Inverse Problem into a Series of Isolated and Less Demanding Subproblems. [PDF]
Sensors (Basel), 2023 Schledewitz T, Klein M, Rueter D.
europepmc +1 more source
Advanced Functional Materials, EarlyView.A fully polymeric two‐dimensional array of Dielectric Elastomers enables self‐sensing, cooperative actuation, and large‐stroke operation in a DE‐based autonomous conveyor. Based only on voltage and current measurements at actuator level, the system detects the presence of a ball and subsequently drives it toward a target position.
Saverio Addario +6 more
wiley +1 more source
An inverse problem in a parabolic equation
Electronic Journal of Differential Equations, 1998 In this paper, an inverse problem in a parabolic equation is studied. An unknown function in the equation is related to two integral equations in terms of heat kernel. One of the integral equations is well-posed while another is ill-posed.
Zhilin Li, Kewang Zheng
doaj
Why a minimizer of the Tikhonov functional is closer to the exact solution than the first guess
, 2011 Suppose that a uniqueness theorem is valid for an ill-posed problem. It is shown then that the distance between the exact solution and terms of a minimizing sequence of the Tikhonov functional is less than the distance between the exact solution and the ...
Klibanov, M. V. +8 more
core +1 more source
Advanced Functional Materials, EarlyView.This perspective presents recent advances in electrocatalytic nitrate reduction, focusing on reaction mechanisms, catalyst design, and electrolyzer configurations. Key challenges in selectivity, stability, and practical wastewater treatment are highlighted, while future directions for advancing sustainable ammonia synthesis and nitrate remediation are ...
Xintong Li +9 more
wiley +1 more source
Logarithmic regularization of non-autonomous non-linear ill-posed problems in Hilbert spaces
Electronic Journal of Differential Equations, 2017 The regularization of non-autonomous non-linear ill-posed problems is established using a logarithmic approximation originally proposed by Boussetila and Rebbani, and later modified by Tuan and Trong.
Matthew Fury
doaj