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In this subsection, we focus on studying the solution of (8) by using SDR-related technique.
Furthermore the method shows a stable behaviour in treating the boundary layers which is shown by studying the solution close to the domain boundaries.
In this section, we aim to turn problem (3) to a tractable convex problem and to find a rank-one optimal solution W by studying the solution structure of (3).
From studying the solution treatment behaviour of friction stir welds, in a typical high strength Al-alloy (7010), it has been established that the nugget zone grain structure is inherently unstable at high temperatures, despite the presence of Al3Zr dispersoids that inhibit grain boundary mobility.
We investigate the application of numerical bifurcation analysis for studying the solution set of such noise contaminated zero problems, which is highly relevant in the context of equation-free analysis (coarse grained analysis) and bifurcation analysis in experiments, and develop specialized algorithms to address challenges that arise due to the presence of noise.
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The next step consists of studying the solutions of a second auxiliary problem, derived from (29).
We tested part of this hypothesis by studying the solutions of 28 participants to 28 instances of the Euclidean Traveling Salesman Problem (TSP).
So, when we study the solution of MEP, we only need to study the solution of the equilibrium (1.1).
To study the spectrum of almost periodic solution of (1.1), we firstly study the solution of (1.1).
In Section 3, we will study the solution for (1.1) using the Mountain Pass Lemma.
Our results can be used to study the solution of (1.1) further.
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