Local Analytic Framework for Reaction-Diffusion Equations Subtitle: Stability, Bifurcation, and Suppression of Spatial Structure

• الفئة :

    كتب علمية

• الإسم الكامل للمؤلف (ين):

    Atil Abdelmadjid

• الرقم الدولي المعياري للكتاب (ISBN) :

    978-9969-05-929-8

• عدد الصفحات :

    156

• الميدان :

    علوم دقيقة

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: ملخص

This research monograph develops a local analytic framework for semilinear reaction-diffusion equations on bounded domains. It connects semigroup well-posedness, invariant regions, smoothing, and compactness with stability, stationary and Hopf bifurcation, diffusion-driven instability, and rigorous suppression criteria. The later chapters establish exclusion principles for Turing destabilization, Lyapunov convergence for competitive systems, and weighted contraction results that force spatial homogenization under explicit diffusion thresholds. The book is intended for researchers, advanced graduate students, and specialists in partial differential equations, dynamical systems, and mathematical modeling