scholarly journals Studying Nonlinear pde by Geometry in Matrix Space

2003 ◽  
pp. 347-395 ◽  
Author(s):  
Bernd Kirchheim ◽  
Stefan Müller ◽  
Vladimír Šverák
Keyword(s):  
Nonlinear Pde ◽  
Matrix Space

Interval oscillation criteria for self-adjoint matrix Hamiltonian systems

2005 ◽  
Vol 135 (5) ◽  
pp. 1085-1108 ◽  
Author(s):  
Qigui Yang ◽  
Yun Tang
Keyword(s):  
Hamiltonian Systems ◽  
Half Line ◽  
Linear Functionals ◽  
Matrix Space ◽  
Differential Systems ◽  
Adjoint Matrix ◽  
Oscillation Criteria ◽  
Positive Linear Functionals ◽  
Interval Oscillation ◽  
New Criteria

By using a monotonic functional on a suitable matrix space, some new oscillation criteria for self-adjoint matrix Hamiltonian systems are obtained. They are different from most known results in the sense that the results of this paper are based on information only for a sequence of subintervals of [t0, ∞), rather than for the whole half-line. We develop new criteria for oscillations involving monotonic functionals instead of positive linear functionals or the largest eigenvalue. The results are new, even for the particular case of self-adjoint second-differential systems which can be applied to extreme cases such as

On a doubly nonlinear PDE with stochastic perturbation

2018 ◽  
Vol 7 (2) ◽  
pp. 297-330 ◽  
Author(s):  
Niklas Sapountzoglou ◽  
Petra Wittbold ◽  
Aleksandra Zimmermann
Keyword(s):  
Stochastic Perturbation ◽  
Nonlinear Pde ◽  
Doubly Nonlinear

scholarly journals Pollution Transfer as Optimal Mass Transport Problem

2016 ◽  
Vol 8 (6) ◽  
pp. 58
Author(s):  
L. Ndiaye ◽  
Mb. Ndiaye ◽  
A. Sy ◽  
D. Seck
Keyword(s):  
Porous Media ◽  
Optimal Transport ◽  
Existence Of Solution ◽  
Nonlinear Pde ◽  
Mathematical Framework ◽  
Sufficient Condition ◽  
Mass Transportation ◽  
Optimal Mass Transport ◽  
Transportation Theory ◽  
Optimal Transport Map

In this paper, we use mass transportation theory to study pollution  transfer in  porous media.  We show   the existence of a $L^2-$regular vector field defined by a $W^{1, 1}-$ optimal transport map. A sufficient condition for solvability of our model, is given by   a (non homogeneous) transport equation with  a  source defined by a measure. The mathematical framework used, allows us to  show in some specifical cases, existence of solution for  a nonlinear PDE deriving from the modelling. And we end by numerical simulations.

The heat equation on a matrix space

2007 ◽  
Vol 142 (6) ◽  
pp. 2671-2681
Author(s):  
S. P. Khekalo
Keyword(s):  
Heat Equation ◽  
Matrix Space

Delivery of cytosolic liver arginase into the mitochondrial matrix space: A possible novel site for gene replacement therapy

1996 ◽  
Vol 22 (6) ◽  
pp. 489-498 ◽  
Author(s):  
Paul B. Wissmann ◽  
Barbara K. Goodman ◽  
Joseph G. Vockley ◽  
Rita M. Kern ◽  
Stephen D. Cederbaum ◽  
...  
Keyword(s):  
Replacement Therapy ◽  
Gene Replacement ◽  
Mitochondrial Matrix ◽  
Matrix Space ◽  
Gene Replacement Therapy

scholarly journals On the macroscopic limit of Brownian particles with local interaction

2020 ◽  
Vol 20 (06) ◽  
pp. 2040007
Author(s):  
Franco Flandoli ◽  
Marta Leocata ◽  
Cristiano Ricci
Keyword(s):  
Explicit Form ◽  
Diffusion Processes ◽  
Particle System ◽  
Local Interaction ◽  
Nonlinear Pde ◽  
Rigorous Results ◽  
Precise Form ◽  
Interacting Particle ◽  
Brownian Particles ◽  
Main Ideas

An interacting particle system made of diffusion processes with local interaction is considered and the macroscopic limit to a nonlinear PDE is investigated. Few rigorous results exists on this problem and in particular the explicit form of the nonlinearity is not known. This paper reviews this subject, some of the main ideas to get the limit nonlinear PDE and provides both heuristic and numerical informations on the precise form of the nonlinearity which are new with respect to the literature and coherent with the few known informations.

scholarly journals Strategi Menyiasati Perubahan Bisnis: Kasus BMT Al-Ittihad

2018 ◽  
Vol 6 (1) ◽  
pp. 52-62
Author(s):  
Nofrizal Nofrizal ◽  
Prama Widayat
Keyword(s):  
Vertical Integration ◽  
Research Method ◽  
Business Environment ◽  
Market Development ◽  
Market Penetration ◽  
Internal Environment ◽  
Horizontal Integration ◽  
Matrix Space ◽  
The Future ◽  
Space Matrix

This research aims to formulate and select BMT Al- Ittihad Rumbai strategy to face the changing of business environment both from internal environment such as organization resources, finance, member and external  business such as competitor, economy, politics and others. This research method used Analysis of EFAS, IFAS, IE Matrix, SWOT-8K Matrix, SPACE Matrix and TWOS Matrix. our hope from this research it can assist BMT Al-Ittihad in formulating and selecting strategies for the sustainability of BMT Al-Ittihad in the future. The sample in this research is manager and leader of BMT Al-Ittihad Rumbai Pekanbaru. The result of this research shows that the position of BMT Al-Ittihad using IE Matrix, SWOT-8K Matrix and SPACE Matrix is in growth position, stabilization and aggressive. The choice of strategy after using TWOS Matrix is market penetration, market development, vertical integration, horizontal integration, and stabilization  

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