The Lp Stability of Relaxation Rarefaction 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

The L p Stability of Relaxation Rarefaction Profiles

We consider the large time behavior of solutions for a hyperbolic relaxation system. For a certain class of initial data the solution is shown to converge to relaxation rarefaction profiles at a determined asymptotic rate. The result is established without the smallness conditions of the wave strength and the initial disturbances. 2001 Academic Press

متن کامل

The L P Stability of Relaxation Rarefaction Prooles

We consider the large time behavior of solutions for a hyperbolic relaxation system. For a certain class of initial data the solution is shown to converge to relaxation rarefaction prooles at a determined asymptotic rate. The result is established without the smallness conditions of the wave strength and the initial disturbances.

متن کامل

Spectral stability of weak relaxation shock profiles

Using a combination of Kawashimaand Goodman-type energy estimates, we establish spectral stability of general small-amplitude relaxation shocks of symmetric dissipative systems. This extends previous results obtained by Plaza and Zumbrun [9] by singular perturbation techniques under an additional technical assumption, namely, that the background equation be noncharacteristic with respect to the...

متن کامل

Stability of Large-Amplitude Shock Profiles of General Relaxation Systems

Abstract. Building on previous analyses carried out in [24, 27], we establish L1 ∩ H2 → L nonlinear orbital stability, 1 ≤ p ≤ ∞, with sharp rates of decay, of large-amplitude Lax-type shock profiles for a general class of relaxation systems that includes most models in common use, under the necessary conditions of strong spectral stability, i.e., stable point spectrum of the linearized operato...

متن کامل

Existence and asymptotic stability of relaxation discrete shock profiles

In this paper we study the asymptotic nonlinear stability of discrete shocks of the relaxing scheme for approximating the general system of nonlinear hyperbolic conservation laws. The existence of discrete shocks is established by suitable manifold construction, and it is shown that weak single discrete shocks for such a scheme are nonlinearly stable in L2, provided that the sums of the initial...

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: Journal of Differential Equations

سال: 2001

ISSN: 0022-0396

DOI: 10.1006/jdeq.2000.3849