Peter Polacik Propagating Terraces and the Dynamics of Front-like Solutions of Reaction-diffusion Equations on Mathbb R (Memoirs of the American Mathematical Society, Band 264) internet üzerinden ibook

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Propagating Terraces and the Dynamics of Front-like Solutions of Reaction-diffusion Equations on Mathbb R (Memoirs of the American Mathematical Society, Band 264)

IBOOKS dosya biçimi, işletim sistemlerinden birinde çalışan cihazlar (bilgisayarlar, telefonlar, tabletler vb.) İçin Peter Polacik yazarından Propagating Terraces and the Dynamics of Front-like Solutions of Reaction-diffusion Equations on Mathbb R (Memoirs of the American Mathematical Society, Band 264) gibi bir e-kitap biçimi olarak geliştirilmiştir. Apple - MacOS veya iOS. Diğer e-kitap dosyaları gibi, örneğin Propagating Terraces and the Dynamics of Front-like Solutions of Reaction-diffusion Equations on Mathbb R (Memoirs of the American Mathematical Society, Band 264), IBOOKS dosyaları yalnızca metin değil, aynı zamanda grafik ve video bilgileri ile kitap okumak için çok uygun olan üç boyutlu nesneler, sunumlar ve diğer veri türlerini de içerebilir Propagating Terraces and the Dynamics of Front-like Solutions of Reaction-diffusion Equations on Mathbb R (Memoirs of the American Mathematical Society, Band 264) . IBOOKS dosyaları, basit ve etkileşimli bir kullanıcı arabirimi sağlayarak çoklu dokunma hareketlerini destekledikleri için iBook çoklu dokunma dosyaları olarak bilinir. Bu tür dosyalar Apple'ın iBooks Author'ı kullanılarak kolayca oluşturulabilir. Bu, e-kitap geliştirmek ve yayınlamak için ücretsiz bir programdır. Bu durumda, büyük olasılıkla, IBOOKS uzantılı dosyalar yalnızca belirli bir ücret ödendikten sonra kullanılabilir hale gelecektir. Ancak Propagating Terraces and the Dynamics of Front-like Solutions of Reaction-diffusion Equations on Mathbb R (Memoirs of the American Mathematical Society, Band 264) tamamen ücretsizdir. IBOOKS dosyaları Apple tarafından Propagating Terraces and the Dynamics of Front-like Solutions of Reaction-diffusion Equations on Mathbb R (Memoirs of the American Mathematical Society, Band 264) indirebileceğiniz ePub 3 formatına göre geliştirilmiştir. Ancak, Apple bazı ek markalı "yongalar" ekledi. IBOOKS dosyası olarak kaydedilen Propagating Terraces and the Dynamics of Front-like Solutions of Reaction-diffusion Equations on Mathbb R (Memoirs of the American Mathematical Society, Band 264) kitabı, kullanıcıların tüm Apple cihazlarında indirip okuması için iTunes'a yayınlanabilir.

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Additional Contributors Springer Independently published MDPI AG Book on Demand Ltd. LAP LAMBERT Academic Publishing WADE H MCCREE Kolektif İspanyolca İngilizce Almanca Gale, U.S. Supreme Court Records ROBERT H BORK ERWIN N GRISWOLD HACHETTE LIVRE-BNF Rusça Fransızca Türkçe
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Yazar Peter Polacik
İsbn 10 1470441128
İsbn 13 978-1470441128
Yayın Evi American Mathematical Society
Boyutlar ve boyutlar 25.3 x 1 x 17.7 cm
tarafından gönderildi Propagating Terraces and the Dynamics of Front-like Solutions of Reaction-diffusion Equations on Mathbb R (Memoirs of the American Mathematical Society, Band 264) 2 Mart 2020

The author considers semilinear parabolic equations of the form $u_t=u_xx f(u),\quad x\in \mathbb R,t>0,$ where $f$ a $C^1$ function. Assuming that $0$ and $\gamma >0$ are constant steady states, the author investigates the large-time behavior of the front-like solutions, that is, solutions $u$ whose initial values $u(x,0)$ are near $\gamma $ for $x\approx -\infty $ and near $0$ for $x\approx \infty $. If the steady states $0$ and $\gamma $ are both stable, the main theorem shows that at large times, the graph of $u(\cdot ,t)$ is arbitrarily close to a propagating terrace (a system of stacked traveling fonts). The author proves this result without requiring monotonicity of $u(\cdot ,0)$ or the nondegeneracy of zeros of $f$. The case when one or both of the steady states $0$, $\gamma $ is unstable is considered as well. As a corollary to the author's theorems, he shows that all front-like solutions are quasiconvergent: their $\omega $-limit sets with respect to the locally uniform convergence consist of steady states. In the author's proofs he employs phase plane analysis, intersection comparison (or, zero number) arguments, and a geometric method involving the spatial trajectories $\{(u(x,t),u_x(x,t)):x\in \mathbb R\}$, $t>0$, of the solutions in question.

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