Dual solutions and stability analysis of flow and heat transfer of Casson fluid over a stretching sheet [PDF]
, 2019 The aim of the current study is to find out the dual solutions of the two-dimensional magnetohydrodynamic (MHD)flow of Casson fluid and heat transfer over the stretching sheet.
Ahmad, R. +4 more
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A General and Unified Method to prove the Uniqueness of Ground State Solutions and the Existence/Non-existence, and Multiplicity of Normalized Solutions with applications to various NLS [PDF]
, 2023 We first give an abstract framework to show the uniqueness of Ground State Solutions (GSS) for a large class of PDEs. To the best of our knowledge, all the existing results in the literature only addressed particular cases.
Hajaiej, Hichem, Song, Linjie
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Finite Element Method Solutions for Semi-Linear Elliptic PDEs . . . [PDF]
, 1995 . We compute general (non-radial) positive solutions of the semi-linear elliptic PDE \Deltau +u+ u 5 = 0, in 3 space dimensions (where the nonlinearity is critical) using the Finite Element Method. We have overcome two fundamental difficulties in this
Humphries +3 more
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Second order convex maximum entropy approximants with applications to high order PDE [PDF]
, 2013 We present a new approach for second order maximum entropy (max-ent) meshfree approximants that produces positive and smooth basis functions of uniform aspect ratio even for non-uniform node sets, and prescribes robustly feasible constraints for the ...
Rosolen, Adrian Martin +2 more
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Ladder methods, length scales and positivity of solutions in dissipative partial differential equations. [PDF]
, 1998 In this thesis we have investigated some physically interesting dissipative partial differential equations through Ladder Methods. The technique originally used in [1] enables us to obtain estimates on some of the most important features of these ...
Woolcock, Caroline.
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On qualitative theory of solutions to nonlinear partial differential equations. [PDF]
, 2010 "In this work I study certain aspects of qualitative behaviour of solutions to nonlinear PDEs. The thesis consists of introduction and three parts. In the first part I study solutions of Emden-Fowler type elliptic equations in nondivergence form. In this
Mikhail Surnachev
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Ladder methods, length scales and positivity of solutions in dissipative partial differential equations. [PDF]
, 2018 In this thesis we have investigated some physically interesting dissipative partial differential equations through Ladder Methods. The technique originally used in [1] enables us to obtain estimates on some of the most important features of these ...
Woolcock, Caroline.
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Second order convex maximum entropy approximants with applications to high order PDE [PDF]
, 2020 We present a new approach for second order maximum entropy (max-ent) meshfree approximants that produces positive and smooth basis functions of uniform aspect ratio even for non-uniform node sets, and prescribes robustly feasible constraints for the ...
Millán, D, Arroyo, Marino, Rosolen, AM
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Algorithms and technologies for photonic crystal modelling [PDF]
, 2009 In this thesis an investigation into the behaviour of light when passing through photonic crystals was carried out using numerical methods. Photonic crystals are expensive and difficult to fabricate so there is a requirement for computer simulations that
Hart, Elizabeth E, Hart, Elizabeth E.
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The space of one-phase free boundary solutions in the plane [PDF]
, 2017 In joint work with David Jerison we study the compactness of the space of solutions to the one-phase free boundary problem in the disk, whose positive phase is of fixed genus.
Kamburov, Nikola
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