Results 71 to 80 of about 14,444,000 (235)
Quarterly Journal of the Royal Meteorological Society, EarlyView.An energy‐conserving discrete framework for the vertical discretisation of stratified ocean models is developed using internal gravity‐wave theory. A β$$ \beta $$‐indexed family of schemes is analysed through perturbation theory, revealing optimal parameter choices and grid designs that reduce truncation errors significantly.
Gabriel Derrida +3 more
wiley +1 more source
Remark on well-posedness and ill-posedness for the KdV equation
Electronic Journal of Differential Equations, 2010 We consider the Cauchy problem for the KdV equation with low regularity initial data given in the space $H^{s,a}(mathbb{R})$, which is defined by the norm $$ | varphi |_{H^{s,a}}=| langle xi angle^{s-a} |xi|^a widehat{varphi} |_{L_{xi}^2}.
Takamori Kato
doaj
Well-Posedness by Perturbations of Generalized Mixed Variational Inequalities in Banach Spaces
Journal of Applied Mathematics, 2012 We consider an extension of the notion of well-posedness by perturbations, introduced by Zolezzi (1995, 1996) for a minimization problem, to a class of generalized mixed variational inequalities in Banach spaces, which includes as a special case the ...
Lu-Chuan Ceng, Ching-Feng Wen
doaj +1 more source
Well-posedness viaMonotonicity – an Overview [PDF]
, 2015 Thoroughly revised version.
Picard, Rainer +2 more
openaire +2 more sources
Well-posedness in vector optimization and scalarization results [PDF]
In this paper, we give a survey on well-posedness notions of Tykhonov's type for vector optimization problems and the links between them with respect to the classification proposed by Miglierina, Molho and Rocca in [33].
Rocca Matteo, Papalia Melania
core
On well-posedness for parametric vector quasiequilibrium problems with moving cones [PDF]
, 2016 summary:In this paper we consider weak and strong quasiequilibrium problems with moving cones in Hausdorff topological vector spaces. Sufficient conditions for well-posedness of these problems are established under relaxed continuity assumptions.
Anh, Lam Quoc, Hien, Dinh Vinh
core +1 more source
Well-posed Vector Optimization Problems and Vector Variational Inequalities [PDF]
In this paper we introduce notions of well-posedness for a vector optimization problem and for a vector variational inequality of differential type, we study their basic properties and we establish the links among them.
Rocca Matteo
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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
Well-posedness and ill-posedness of the fifth-order modified KdV equation
Electronic Journal of Differential Equations, 2008 We consider the initial value problem of the fifth-order modified KdV equation on the Sobolev spaces. $$displaylines{ partial_t u - partial_x^5u + c_1partial_x^3(u^3) + c_2upartial_x upartial_x^2 u + c_3uupartial_x^3 u =0cr u(x,0)= u_0(x ...
Soonsik Kwon
doaj
, 2011 [[abstract]]In this paper, we study the well-posedness in the generalized sense for variational inclusion problems and variational disclusion problems, the well-posedness for optimization problems with variational inclusion problems, variational ...
Lin Lai-Jiu; Chih-Sheng Chuang
core