Gevrey solutions for equations of Euler-Bernoulli type
نویسندگان
چکیده
منابع مشابه
Propagation of Gevrey Regularity for Solutions of Landau Equations
There are many papers concerning the propagation of regularity for the solution of the Boltzmann equation (cf. [5, 6, 8, 9, 13] and references therein). In these works, it has been shown that the Sobolev or Lebesgue regularity satisfied by the initial datum is propagated along the time variable. The solutions having the Gevrey regularity for a finite time have been constructed in [15] in which ...
متن کاملGlobal Solutions of the Relativistic Euler Equations
We demonstrate the existence of solutions with shocks for the equations describing a perfect fluid in special relativity, namely, d i v T = 0, where T ~ = (p + pcZ)ulU j + prl ij is the stress energy tensor for the fluid. Here, p denotes the pressure, u the 4-velocity, p the mass-energy density of the fluid, t/~ the flat Minkowski metric, and c the speed of light. We assume that the equation of...
متن کاملRenormalized Solutions of the 2d Euler Equations
In this paper we prove that solutions of the 2D Euler equations in vorticity formulation obtained via vanishing viscosity approximation are renormalized.
متن کاملOn Appell sequences of polynomials of Bernoulli and Euler type
A construction of new sequences of generalized Bernoulli polynomials of first and second kind is proposed. These sequences share with the classical Bernoulli polynomials many algebraic and number theoretical properties. A class of Euler-type polynomials is also presented. © 2007 Elsevier Inc. All rights reserved.
متن کاملAdaptive Timestep Control for Nonstationary Solutions of the Euler Equations
In this paper we continue our work on adaptive timestep control for weakly instationary problems [29, 30]. The core of the method is a space-time splitting of adjoint error representations for target functionals due to Süli [32] and Hartmann [18]. The main new ingredients are (i) the extension from scalar, 1D, conservation laws to the 2D Euler equations of gas dynamics, (ii) the derivation of b...
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: Journal of Differential Equations
سال: 1991
ISSN: 0022-0396
DOI: 10.1016/0022-0396(91)90053-c