Results 41 to 50 of about 9,689,661 (201)
Well-Posedness of the Boundary Layer Equations [PDF]
SIAM Journal on Mathematical Analysis, 2003 Summary: We consider mild solutions of Prandtl equations in the half space. Requiring analyticity only with respect to the tangential variable, we prove the short-time existence and uniqueness of solution in the proper function space. The proof is achieved applying abstract Cauchy-Kowalewski theorem to the boundary layer equations once the convection ...
LOMBARDO, Maria Carmela +2 more
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Well-posedness of nonlinear Schrödinger equations from deterministic and probabilistic viewpoints [PDF]
In this thesis, we study the Cauchy problem for nonlinear Schrödinger equations (NLS) in various settings. Firstly, we consider NLS with a quadratic nonlinearity |u|² on the two-dimensional torus.
Liu, Ruoyuan
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Well-posedness of the one-dimensional derivative nonlinear Schrödinger equation [PDF]
, 2018 This thesis is concerned with the well-posedness of the one-dimensional derivative non-linear Schrodinger equation (DNLS). In particular, we study the initial-value problem associated to DNLS with low-regularity initial data in two settings: (i) on the
Moşincat, Răzvan Octavian
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Generalized Levitin-Polyak Well-Posedness of Vector Equilibrium Problems
Fixed Point Theory and Applications, 2009 We study generalized Levitin-Polyak well-posedness of vector equilibrium problems with functional constraints as well as an abstract set constraint.
Lai-Jun Zhao, Yan Wang, Jian-Wen Peng
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Well posedness and physical possibility [PDF]
, 2013 There is a sentiment shared among physicists that well posedness is a necessary condition for physical possibility. The arguments usually offered for well posedness have an epistemic flavor and thus they fall short of establishing the metaphysical claim ...
Gyenis, Balazs
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Levitin–Polyak Well Posedness for Fuzzy Optimization Problems Through a Linear Ordering
MathematicsWe propose a reformulated notion of Levitin–Polyak (abbreviated as LP) well posedness for fuzzy optimization problems formulated in the fuzzy order-preserving (FOP) setting, where minimizing sequences are governed by a total ordering defined on fuzzy ...
Rattanaporn Wangkeeree +2 more
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Global Well-Posedness of the Incompressible Magnetohydrodynamics [PDF]
Archive for Rational Mechanics and Analysis, 2018 This paper studies the Cauchy problem of the incompressible magnetohydrodynamic systems with or without viscosity $ν$. Under the assumption that the initial velocity field and the displacement of the initial magnetic field from a non-zero constant are sufficiently small in certain weighted Sobolev spaces, the Cauchy problem is shown to be globally well-
Yuan Cai, Zhen Lei
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Almost optimal local well-posedness for modified Boussinesq equations
Electronic Journal of Differential Equations, 2020 In this article, we investigate a class of modified Boussinesq equations, for which we provide first an alternate proof of local well-posedness in the space $(H^s\cap L^\infty)\times (H^s\cap L^\infty)(\mathbb{R})$ ($s\geq 0$) to the one obtained by
Dan-Andrei Geba, Bai Lin
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Abstract and Applied Analysis, 2014 The purpose of this paper is introduce several types of Levitin-Polyak well-posedness for bilevel vector equilibrium and optimization problems with equilibrium constraints.
Phan Quoc Khanh +2 more
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On Well-Posedness of Some Constrained Variational Problems
Mathematics, 2021 By considering the new forms of the notions of lower semicontinuity, pseudomonotonicity, hemicontinuity and monotonicity of the considered scalar multiple integral functional, in this paper we study the well-posedness of a new class of variational ...
Savin Treanţă
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