Results 91 to 100 of about 676,988 (164)

A Numerical Method for Backward Inverse Heat Conduction Problem With two Unknown Functions

International Journal of Industrial Engineering and Production Research, 2006
This paper considers a linear one dimensional inverse heat conduction problem with non constant thermal diffusivity and two unknown terms in a heated bar with unit length.
A. Shidfar, Ali Zakeri
doaj  

On well-posedness of energy supercritical NLS on product space Rn×T4−n ${\mathbb{R}}^{n}{\times}{\mathbb{T}}^{4-n}$ (n = 0, 1, 2, 3)

Advances in Nonlinear Analysis
We establish the well-posedness theory for the quintic nonlinear Schrödinger equation (NLS) on four-dimensional tori (i.e., T4 ${\mathbb{T}}^{4}$ ), which is an energy-supercritical model. Compared to the recent breakthrough work (B. Kwak and S.
Wang Han, Li Xing, Lyu Ziyue, Zhao Zehua, Zhou Wenyu   +4 more
doaj   +1 more source

Well-posedness and ill-posedness for a system of periodic quadratic derivative nonlinear Schr\"odinger equations [PDF]

We consider the Cauchy problem of a system of quadratic derivative nonlinear Schr\"odinger equations which was introduced by M. Colin and T. Colin (2004) as a model of laser-plasma interaction.
Kinoshita, Shinya, Hirayama, Hiroyuki, Okamoto, Mamoru   +2 more
core   +1 more source

Stability of Rayleigh-Jeans Equilibria in the Kinetic FPU Equation. [PDF]

Arch Ration Mech Anal
Germain P, La J, Menegaki A.
europepmc   +1 more source

Ill-posedness of time-dependent inverse problems in Lebesgue-Bochner spaces

We consider time-dependent inverse problems in a mathematical setting using Lebesgue-Bochner spaces. Such problems arise when one aims to recover parameters from given observations where the parameters or the data depend on time.
Schuster, Thomas, Wald, Anne, Burger, Martin   +2 more
core   +1 more source

Comparing the ill-posedness for linear operators in Hilbert spaces

The difficulty for solving ill-posed linear operator equations in Hilbert space is reflected by the strength of ill-posedness of the governing operator, and the inherent solution smoothness.
Mathé, Peter, Hofmann, Bernd
core   +2 more sources

An Impact Load History Reconstruction Method for Composite Structures Based on FBG Sensing Data and the GCV Principle. [PDF]

Sensors (Basel)
Zeng J, Xu J, Xu Y, Zhao X, Wang S, Zhou Y, Wang Y.   +6 more
europepmc   +1 more source

Ill-posed analysis of time-domain deconvolution identification of ice load on the shell structures of ice-going vessels. [PDF]

Sci Rep
Kong S, Lei J.
europepmc   +1 more source

Data-driven, ML-assisted approaches to problem well-posedness. [PDF]

PNAS Nexus
Bertalan T, Kevrekidis GA, Koronaki ED, Mishra S, Rebrova E, Kevrekidis IG.   +5 more
europepmc   +1 more source

Shape-optimized Model-based Reconstruction Algorithm for Radiacoustic Imaging. [PDF]

Appl Phys Lett
Pandey PK, Gottam O, Bjegovic K, Gonzalez G, Chen Y, Xiang L.   +5 more
europepmc   +1 more source