Critical thresholds in one-dimensional damped Euler–Poisson systems
نویسندگان
چکیده
منابع مشابه
Critical thresholds in hyperbolic relaxation systems
Article history: Received 8 August 2008 Available online 18 April 2009
متن کاملPractical variational tomography for critical one-dimensional systems
We improve upon a recently introduced efficient quantum state reconstruction procedure targeted to states well approximated by the multiscale entanglement renormalization ansatz (MERA), e.g., ground states of critical models. We show how to numerically select a subset of experimentally accessible measurements which maximize information extraction about renormalized particles, thus dramatically ...
متن کاملCritical Thresholds in Multi-dimensional Restricted Euler Equations
Abstract. Using the spectral dynamics, we study the critical threshold phenomena in the multidimensional restricted Euler (RE) equations. We identify sub-critical and sup-critical initial data for all space dimensions, which extends the previous result for the 3D and 4D restricted Euler equations. Our result suggests that: if the number of dimensions is odd, the finite time blowup is generic; i...
متن کاملCritical exponents and percolation thresholds in two-dimensional systems with a finite interplane coupling.
Classical site percolation was used to study numerically the effect of interplane coupling in the range 10(-1)-10(-6) of the in-plane coupling on the static correlation length exponent nu and the critical dimension D. It was found that even for the smallest coupling values the exponents take their three-dimensional (3D) values for sufficiently large system sizes. The percolation threshold p(c),...
متن کاملOn the pressureless damped Euler-Poisson equations with quadratic confinement: critical thresholds and large-time behavior
We analyse the one-dimensional pressureless Euler-Poisson equations with a linear damping and non-local interaction forces. These equations are relevant for modelling collective behavior in mathematical biology. We provide a sharp threshold between the supercritical region with finite-time breakdown and the subcritical region with global-in-time existence of the classical solution. We derive an...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Mathematical Models and Methods in Applied Sciences
سال: 2020
ISSN: 0218-2025,1793-6314
DOI: 10.1142/s0218202520500189