Results 51 to 60 of about 14,589,045 (236)
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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Well-Posedness of the Electron MHD with Partial Resistivity [PDF]
Due to the singular nonlinear Hall term, the non-resistive electron magnetohydrodynamics (MHD) is not known to be locally well-posed in general. In this paper we consider the $$2\frac{1}{
Hassan Babaei +3 more
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On the Reconstruction of Planar Vector Fields From Its Longitudinal and Transverse Ray Transform
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT We consider a planar vector tomography problem of reconstructing a complex‐valued vector field from the (complete and partial) information of its longitudinal and transverse ray transforms, as well as from one of those transforms and its first moment.
Kamran Sadiq
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“Well Posedness and Optimization Problems”
, 2005 In this paper the property of Tihkonov well-posedness is analyzed in relation with other well posedness ...
PUSILLO, ANGELA LUCIA
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Near Surface Geophysics, EarlyView.Abstract In studies of subsurface hydrology, monitoring and imaging techniques are used to estimate the moisture content, or to track moisture or injected tracer movement. One applied imaging technique is electrical resistance tomography (ERT), in which measurements collected using electrodes placed on the ground surface or in boreholes are used to ...
Mikko Räsänen +3 more
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Stability of energy-critical nonlinear Schrodinger equations in high dimensions
Electronic Journal of Differential Equations, 2005 We develop the existence, uniqueness, continuity, stability, and scattering theory for energy-critical nonlinear Schrodinger equations in dimensions $n geq 3$, for solutions which have large, but finite, energy and large, but finite, Strichartz norms ...
Terence Tao, Monica Visan
doaj
AN INTRODUCTION TO WELL-POSEDNESS AND FREE-EVOLUTION [PDF]
International Journal of Modern Physics A, 2013 These lecture notes accompany two classes given at the NRHEP2 school. In the first lecture I introduce the basic concepts used for analyzing well-posedness, that is the existence of a unique solution depending continuously on given data, of evolution partial differential equations.
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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
core
Well-posedness and scalarization in vector optimization
, 2005 In this paper, we study several existing notions of well- posedness for vector optimization problems. We separate them into two classes and we establish the hierarchical structure of their relationships. Moreover, we relate vector well-posedness and well-
Rocca Matteo +4 more
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Well-posedness of stochastic modified Kawahara equation
Advances in Difference Equations, 2020 In this paper we consider the Cauchy problem for the stochastic modified Kawahara equation, which is a fifth-order shallow water wave equation. We prove local well-posedness for data in Hs(R) $H^{s}(\mathbb{R})$, s≥−1/4 $s\geq -1/4$. Moreover, we get the
P. Agarwal, Abd-Allah Hyder, M. Zakarya
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