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Titlebook: A Stability Technique for Evolution Partial Differential Equations; A Dynamical Systems Victor A. Galaktionov,Juan Luis Vázquez Book 2004

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Bulk States in PtCoO, and PdCoO,This chapter contains the statement and proof of the abstract stability result on which the theory of later chapters relies. The large-time behaviour for different PDEs of evolution type is seen in an abstract setting from the unifying point of view of dynamical systems posed in an arbitrary metric space.
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https://doi.org/10.1007/978-981-15-1447-0We consider a model describing the instability of a square detonation wave by means of a fully nonlinear parabolic equation. Finite-time singularities are generated by singularly perturbed first-order equations, and we apply the advanced version of the S-Theorem based on the stability assumption of the reduced omega-limit set.
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Superconductivity and the Cuprates,In this chapter we briefly describe some more recent applications of the stability method to second- and higher-order evolution equations. They address special topics that are currently investigated and introduce interesting variations of the main techniques we are playing with.
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Angle and Spin Resolved Auger Emissionm equation as a convenient setting to introduce the techniques of fixed and continuous scaling that play a big role in the theory of asymptotic analysis of nonlinear problems. Scaling is our way of presenting what is also known in the literature as renormalization. The last part contains technical results that will be used later on.
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https://doi.org/10.1007/978-3-540-74630-0in several applied fields, notably in fluid mechanics. The concepts of inner and outer region, boundary layer and matching are now classical in nonlinear analysis, hence our interest in discussing representative cases of interaction with the S-Theorem.
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