Results 61 to 70 of about 15,216,637 (286)
On well‐posedness of nonlinear conjugation boundary value problem for analytic functions
Mathematical Modelling and Analysis, 2000 We consider power type nonlinear conjugation problem for analytic functions. Our main question is to make this problem well‐posed, i.e. to find such classes of functions in which this problem possesses a unique solution.
S. V. Rogosin
doaj +1 more source
Well posedness and convergence analysis of the ensemble Kalman inversion [PDF]
Inverse Problems, 2018 The ensemble Kalman inversion is widely used in practice to estimate unknown parameters from noisy measurement data. Its low computational costs, straightforward implementation, and non-intrusive nature makes the method appealing in various areas of ...
D. Blömker +3 more
semanticscholar +1 more source
α-Well-Posedness for Quasivariational Inequality Problems
Abstract and Applied Analysis, 2012 We introduce and study the concepts of α-well-posedness and L-α-well-posedness for quasivariational inequality problems having a unique solution and the concepts of α-well-posedness in the generalized sense and L-α-well-posedness in the generalized ...
Jian Wen Peng, Jing Tang
doaj +1 more source
No‐regret and low‐regret control for a weakly coupled abstract hyperbolic system
Asian Journal of Control, EarlyView.Abstract This paper explores an optimal control problem of weakly coupled abstract hyperbolic systems with missing initial data. Hyperbolic systems, known for their wave‐like phenomena and complexity, become even more challenging with weak coupling between subsystems.
Meriem Louafi +3 more
wiley +1 more source
The Canadian Journal of Chemical Engineering, EarlyView.Abstract We develop a delay‐aware estimation and control framework for a non‐isothermal axial dispersion tubular reactor modelled as a coupled parabolic‐hyperbolic PDE system with recycle‐induced state delay. The infinite‐dimensional dynamics are preserved without spatial discretization by representing the delay as a transport PDE and adopting a late ...
Behrad Moadeli, Stevan Dubljevic
wiley +1 more source
On the Local Well-posedness of a 3D Model for Incompressible Navier-Stokes Equations with Partial Viscosity [PDF]
, 2011 In this short note, we study the local well-posedness of a 3D model for incompressible Navier-Stokes equations with partial viscosity. This model was originally proposed by Hou-Lei in \cite{HouLei09a}.
Hou, Thomas Y., Shi, Zuoqiang, Wang, Shu
core +1 more source
Ghost effect from Boltzmann theory
Communications on Pure and Applied Mathematics, EarlyView.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
Well-posedness of the hydrostatic Navier–Stokes equations [PDF]
Analysis & PDE, 2018 We address the local well-posedness of the hydrostatic Navier-Stokes equations. These equations, sometimes called reduced Navier-Stokes/Prandtl, appear as a formal limit of the Navier-Stokes system in thin domains, under certain constraints on the aspect
D. Gérard-Varet, N. Masmoudi, V. Vicol
semanticscholar +1 more source
Limnology and Oceanography: Methods, EarlyView.Abstract The inverse problem in remote sensing of aquatic environment consists in retrieving optically significant constituents (OSCs) from a spectral measurement of the remote sensing reflectance (Rrs$$ {R}_{\mathrm{rs}} $$).Optically significant constituent includes chlorophyll a concentration (Chl a$$ Chl\ a $$), a proxy of phytoplankton biomass ...
Soham Mukherjee +2 more
wiley +1 more source
Polynomially oscillatory multipliers on Gelfand–Shilov spaces
Mathematische Nachrichten, EarlyView.Abstract We study continuity of the multiplier operator eiq$\text{e}^{\text{i} q}$ acting on Gelfand–Shilov spaces, where q$q$ is a polynomial on Rd$\mathbf {R}^{d}$ of degree at least two with real coefficients. In the parameter quadrant for the spaces, we identify a wedge that depends on the polynomial degree for which the operator is continuous.
Alexandre Arias Junior, Patrik Wahlberg
wiley +1 more source