Global existence for a one-dimensional model in gas dynamics
نویسندگان
چکیده
منابع مشابه
The one-dimensional chemotaxis model: global existence and asymptotic profile
Osaki and Yagi (2001) give a proof of global existence for the classical chemotaxis model in one space dimension with use of energy estimates. Here we present an alternative proof which uses the regularity properties of the heat-equation semigroup. With this method we can identify a large selection of admissible spaces, such that the chemotaxis model de nes a global semigroup on these spaces. W...
متن کاملSpin dynamics in a one-dimensional ferromagnetic bose gas.
We investigate the propagation of spin excitations in a one-dimensional ferromagnetic Bose gas. While the spectrum of longitudinal spin waves in this system is soundlike, the dispersion of transverse spin excitations is quadratic, making a direct application of the Luttinger liquid theory impossible. By using a combination of different analytic methods we derive the large time asymptotic behavi...
متن کاملEntrapped Gas Action for One-Dimensional Models of Capillary Dynamics
This paper is concerned with a mathematical and numerical study of the effect of gas entrapment on liquid dynamics in a closed-end horizontal capillary. This problem is important in order to understand how the presence of a gas inside the capillary can influence the dynamics of capillary flows and the non destructive test procedures carried out through liquid penetrant testing. In this context,...
متن کاملA three-dimensional lattice gas model for amphiphilic fluid dynamics
We describe a three-dimensional hydrodynamic lattice-gas model of amphiphilic fluids. This model of the non-equilibrium properties of oil-water-surfactant systems, which is a non-trivial extension of an earlier two-dimensional realisation due to Boghosian, Coveney and Emerton [2], can be studied effectively only when it is implemented using high-performance computing and visualisation technique...
متن کاملClustering in a Stochastic Model of One - Dimensional Gas 1027
We give a quantitative analysis of clustering in a stochastic model of one-dimensional gas. At time zero, the gas consists of n identical particles that are randomly distributed on the real line and have zero initial speeds. Particles begin to move under the forces of mutual attraction. When particles collide, they stick together forming a new particle, called cluster, whose mass and speed are ...
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: Applicationes Mathematicae
سال: 1997
ISSN: 1233-7234,1730-6280
DOI: 10.4064/am-24-2-203-221