نتایج جستجو برای: newellwhitehead segel equation
تعداد نتایج: 230181 فیلتر نتایج به سال:
در ابتدا به طور مختصر ارتباط بین مسائل تغییراتی و معادلات دیفرانسیل را بیان می کنیم. همان طور که می دانیم هر معادله دیفرانسیل را می توان به صورت egin{equation} label{yek} a(u)= 0 end{equation} نوشت، که در آن $ a(u) $ یک عملگر دیفرانسیل معمولی یا جزئی خطی یا غیرخطی و $ u $ مجهول می باشد. برای حل این معادلات و به خصوص معادلات دیفرانسیل جزیی غیرخطی راه حل مشخصی وجود ندارد.حساب تغییر...
We develop a theory of fluctuations for Brownian systems with weak long-range interactions. For these systems, there exists a critical point separating a homogeneous phase from an inhomogeneous phase. Starting from the stochastic Smoluchowski equation governing the evolution of the fluctuating density field of the Brownian particles, we determine the expression of the correlation function of th...
Abstract. We consider a kinetic multi-scale model, describing suspensions of rod-like particles, which couples a microscopic Smoluchowski equation for the distribution of rod orientations to a macroscopic Stokes or Navier-Stokes equation via an elastic stress tensor and a gravitational forcing term. A reciprocal coupling of phenomena on these different scales leads to the formation of clusters....
We study the global existence of parabolic-parabolic Keller–Segel system in Rd, d≥2. prove that initial data arbitrary size give rise to solutions provided diffusion parameter τ is large enough equation for chemoattractant. This fact was observed before two-dimensional case by Biler et al. (2015) [7] and Corrias (2014) [12]. Our analysis improves earlier results extends them any dimension d≥3. ...
D.F. Geesaman and B. Zeidman Argonne National Laboratory, Argonne, Illinois 60439 C. Olmer, A.D. Bacher, G.T. Emery, C.W. Glover, H. Nann and W.P. Jones Indiana University Cyclotron Facility, Bloomington, Indiana 47405 S .Y. van der Werf Kernfysisch Versneller Institut, Groningen, The Netherlands R.E. Segel Northwestern University, Evanston, Illinois 60204 R .A. Lindgren University of Massachus...
Interfaces in two-dimensional systems exhibit unexpected complex dynamical behaviors, the dynamics of a border connecting a stripe pattern and a uniform state is studied. Numerical simulations of a prototype isotropic model, the subcritical Swift-Hohenberg equation, show that this interface has transversal spatial periodic structures, zigzag dynamics and complex coarsening process. Close to a s...
We introduce DeepMoD, a Deep learning based Model Discovery algorithm. DeepMoD discovers the partial differential equation underlying spatio-temporal data set using sparse regression on library of possible functions and their derivatives. A neural network is used as function approximator its output to construct library, allowing perform within network. This construction makes it extremely robus...
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