Results 51 to 60 of about 36,597 (202)
Adaptive Sliding‐Mode Control of a Perturbed Diffusion Process With Pointwise In‐Domain Actuation
International Journal of Robust and Nonlinear Control, EarlyView.ABSTRACT A sliding mode–based adaptive control law is proposed for a class of diffusion processes featuring a spatially‐varying uncertain diffusivity and equipped with several point‐wise actuators located at the two boundaries of the spatial domain as well as in its interior.
Paul Mayr +3 more
wiley +1 more source
Local ill-posedness of the 1D Zakharov system
Electronic Journal of Differential Equations, 2007 Ginibre-Tsutsumi-Velo (1997) proved local well-posedness for the Zakharov system$$displaylines{ ipartial_tu + Delta u = nu cr partial_t^2 n - Delta n = Delta |u|^2 cr u(x,0)=u_0(x), cr n(x,0)=n_0(x), quad partial_tn(x,0)=n_1(x)}$$ where $u=u(x,t)in ...
Justin Holmer
doaj
Local Well-posedness of a Nutku-Oguz-Burgers System With Time Dependent Coefficients
Selecciones Matemáticas, 2018 In this paper we study the local well-posedness of the initial value problem for a Nutku-Oguz-Burgers system with time dependent coefficients, formed by two Korteweg-de Vries equations coupled through the non-linear terms.
Juan Montealegre, Gladys Cruz
doaj +1 more source
Local Well-posedness for the Kinetic MMT Model
Communications in Mathematical PhysicsThe MMT equation was proposed by Majda, McLaughlin and Tabak as a model to study wave turbulence. We focus on the kinetic equation associated to this Hamiltonian system, which is believed to give a way to predict turbulent spectra. We clarify the formulation of the problem, and we develop the local well-posedness theory for this equation.
Pierre Germain +2 more
openaire +2 more sources
Local well-posedness for dispersion-generalized Benjamin-Ono equations
Differential and Integral Equations, 2003 In this paper we study local well-posedness in the energy space for a family of dispersive equations that can be seen as dispersive ``interpolations'' between the KdV and the Benjamin-Ono equation.
Colliander, J. +2 more
openaire +4 more sources
Conundrums of Localized Surface Plasmon Resonance Biosensors
Small, EarlyView.Localized surface plasmon resonance (LSPR) biosensing faces fundamental conundrums arising from finite field decay lengths, environmental cross‐sensitivities, and batch variability. Competing surface, bulk, and electrostatic effects can induce red or blue spectral shifts, complicating quantification, reproducibility, and interpretation in complex or ...
Nikhil Bhalla
wiley +1 more source
Power series solution for the modified KdV equation
Electronic Journal of Differential Equations, 2008 We use the method developed by Christ [3] to prove local well-posedness of a modified Korteweg de Vries equation in $mathcal{F}L^{s,p}$ spaces.
Tu Nguyen
doaj
Specification Tests for Jump‐Diffusion Models Based on the Characteristic Function
International Statistical Review, EarlyView.Summary Goodness‐of‐fit tests are suggested for several popular jump‐diffusion processes. The suggested test statistics utilise the marginal characteristic function of the model and its L2‐type discrepancy from an empirical counterpart. Model parameters are estimated either by minimising the aforementioned L2‐type discrepancy or by maximum likelihood ...
Gerrit Lodewicus Grobler +3 more
wiley +1 more source
Local well-posedness for density-dependent incompressible Euler equations
Electronic Journal of Differential Equations, 2013 In this article, we establish the local well-posedness for density-dependent incompressible Euler equations in critical Besov spaces.
Zhiqiang Wei
doaj
Local Well-Posedness of a System Describing Laser-Plasma Interactions
Vietnam Journal of Mathematics, 2022 AbstractA degenerate Zakharov system arises as a model for the description of laser-plasma interactions. It is a coupled system of a Schrödinger and a wave equation with a non-dispersive direction. In this paper, a new local well-posedness result for rough initial data is established.
Herr, Sebastian +3 more
openaire +3 more sources