Results 41 to 50 of about 2,901 (144)
This study investigates numerically the heat and mass transport with entropy generation of MHD human blood as a hybrid nanofluid at the surface of a porous stenotic shrinking artery in the presence of velocity slip and convective boundary conditions ...
Gopinath Mandal, Dulal Pal
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A theory of generalised solutions for ideal gas mixtures with Maxwell-Stefan diffusion [PDF]
After the pioneering work by Giovangigli on mathematics of multicomponent flows, several attempts were made to introduce global weak solutions for the PDEs describing the dynamics of fluid mixtures. While the incompressible case with constant density was
Druet, Pierre-Étienne
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This study investigates flow of non-Newtonian fluid containing nano particles and gyrotactic micro-organisms on stretching surface considering magnetic factor and thermal radiations.
Muhammad Mumtaz +4 more
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Spectral properties of solutions for nonlinear PDEs in the turbulent regime [PDF]
We consider non-linear Schrödinger equations with small complex coefficient of size 6 in front of the Laplacian. The space-variable belongs to the unit n-cube (n = 3) and Dirichlet boundary conditions are assumed on the cube's boundary. The equations are
Kuksin, Sergei B.
core
Long-Time Behaviour for Solutions of Systems of PDEs Modelling Suspension Bridges [PDF]
We address a damped and forced system of PDEs modelling the dynamics of a degenerate plate with internal piers, where the two unknowns represent the vertical displacement of the central beam and the angular displacement of the cross sections with ...
Garrione, Maurizio, Pastorino, Emanuele
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Estimates and regularity for some fully nonlinear PDEs in conformal geometry [PDF]
In this thesis we obtain new estimates and regularity results for some fully nonlinear elliptic equations arising in conformal geometry. Our first set of new results concern local pointwise second derivative estimates for elliptic solutions to the σk ...
Duncan, Jonah AJ
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On the crest factor for dissipative partial differential equations [PDF]
In this work, we have introduced and then computed the so-called crest factor associated with solutions of dissipative partial differential equations (PDEs). By taking two paradigmatic dissipative PDEs, we estimated in an explicit and accurate manner the
Bartuccelli, Michele V.
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Fokker-Planck PDEs (incl. diffusions) for stable Lévy processes (incl. Wiener processes) on the joint space of positions and orientations play a major role in mechanics, robotics, image analysis, directional statistics and probability theory. Exact analytic designs and solutions are known in the 2D case, where they have been obtained using Fourier ...
Duits, Remco +2 more
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Positive singular solutions of a certain elliptic PDE
In this thesis, we study the existence of positive singular solutions of a system of partial differential equations on a bounded domain. We first consider the solution of the following problem:\begin{equation} \label{base equation} \left\{ \begin{array}{lr} -\Delta w= | \nabla w|^p& \text{in}~~ B_1 \backslash \{0\},\\ w=0 & \text{on}~~ \partial B_1 ...
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Positive singular solutions of a certain elliptic PDE
In this paper, we investigate the existence of positive singular solutions for a system of partial differential equations on a bounded domain \begin{equation} \label{main equation of the thesis} \left\{ \begin{array}{lr} -Δu = (1+κ_1(x)) | \nabla v |^p & \text{in}~~ B_1 \backslash \{0\},\\ -Δv = (1+κ_2(x)) | \nabla u |^p & \text{in}~~ B_1 ...
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