Entropy in self-similar shock profiles

نویسندگان
چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Shock Profiles and Self-similar Fluid Dynamic Limits

Being among the simplest models in the kinetic theory of gases, the Broadwell model has served as a paradigm to understand the phenomenon of relaxation and the transition from a microscopic to a macroscopic description of gases. It consists of the system of semilinear hyperbolic equations @f 1 @t + @f 1 @x = 1 " f 2 3 ? f 1 f 2 @f 2 @t ? @f 2 @x = 1 " f 2 3 ? f 1 f 2 @f 3 @t = ? 1 2" f 2 3 ? f ...

متن کامل

Carbuncles as self-similar entropy solutions

Numerical approximations of shock waves sometimes suffer from instabilities called carbuncles. Techniques for suppressing carbuncles are trialand-error and lack in reliability and generality, partly because theoretical knowledge about carbuncles is equally unsatisfactory. It is not known which numerical schemes are affected in which circumstances, what causes carbuncles to appear and whether ca...

متن کامل

Self-Similar Solutions for Weak Shock Reflection

We present numerical solutions of a two-dimensional Riemann problem for the unsteady transonic small disturbance equations that provides an asymptotic description of the Mach reflection of weak shock waves. We develop a new numerical scheme to solve the equations in selfsimilar coordinates and use local grid refinement to resolve the solution in the reflection region. The solutions contain a re...

متن کامل

The Self-similar Profiles of Generalized Kpz Equation

In this paper we consider, for 1 ≤ m < p < 2, the generalized KPZ equation ut = (u) − |∇u|p. For m = 1, we show existence and uniqueness of the so called very singular solution which is self-similar. A complete classification of self-similar solutions is also given. For m > 1, we establish the existence of very singular self-similar solution and prove that such a solution must have compact supp...

متن کامل

Self-Similar Solutions of Rényi's Entropy and the Concavity of Its Entropy Power

We study the class of self-similar probability density functions with finite mean and variance, which maximize Rényi’s entropy. The investigation is restricted in the Schwartz space S(R) and in the space of l-differentiable compactly supported functions C l c(R). Interestingly, the solutions of this optimization problem do not coincide with the solutions of the usual porous medium equation with...

متن کامل

ذخیره 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: International Journal of Non-Linear Mechanics

سال: 2017

ISSN: 0020-7462

DOI: 10.1016/j.ijnonlinmec.2017.07.003