Lp-convergence rate to diffusion waves for p-system with relaxation
نویسندگان
چکیده
منابع مشابه
Convergence Rates to Nonlinear Di®usion Waves for Weak Entropy Solutions to p-System with Damping
In this paper, we study the asymptotic behavior of weak entropy solutions to the Cauchy problem of the so-called p-system with damping. The convergence rates to nonlinear di®usion waves are obtained. The analysis is based on the viscosity method and energy method.
متن کاملSpine proofs for Lp-convergence of branching-diffusion martingales∗
Using the foundations laid down in Hardy and Harris [17], we present new spine proofs of the Lp-convergence (p ≥ 1) of some key ‘additive’ martingales for three distinct models of branching diffusions, including new results for a multi-type branching Brownian motion and discussion of left-most particle speeds. The spine techniques we develop give clear and simple arguments in the spirit of the ...
متن کاملHigh frequency behavior of the Maxwell-Bloch model with relaxation: convergence to the Schrödinger-rate system
We study the Maxwell-Bloch model, which describes the propagation of a laser through a material and the associated interaction between laser and matter (polarization of the atoms through light propagation, photon emission and absorption, etc.). The laser field is described through Maxwell’s equations, a classical equation, while matter is represented at a quantum level and satisfies a quantum L...
متن کاملConvergence to Equilibrium Rarefaction Waves for Discontinuous Solutions of Shallow Water Wave Equations with Relaxation
The purpose of this paper is to study the discontinuous solutions to a shallow water wave equation with relaxation. The typical initial value problem of discontinuous solutions is the Riemann problem. Unlike the homogeneous hyperbolic conservation laws, due to the inhomogeneity of the system studied here, the solutions of the Riemann problem do not have a self-similar structure anymore. This pr...
متن کاملLP Relaxation for Elastic Matching
According to [2], in this paper we discuss a new method to match two 3D shapes in a geometrically consistent way. We understand a matching as a diffemorphism and want to find the matching that minimizes the physical energy that is necessary to deform one shape into the other. Because of the fact that diffeomorphisms can be completely characterized by their graph, we propose an equivalent formul...
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 Mathematical Analysis and Applications
سال: 2002
ISSN: 0022-247X
DOI: 10.1016/s0022-247x(02)00674-1