The purpose of this paper is to study the global wellposedness and large time behavior results strong solutions for compressible Oldroyd-B model derived by Barrett, Lu, Süli (Commun. Math. Sci., 15, 1265–1323, 2017). Exploiting harmonic analysis tools (especially Littlewood-Paley theory), we first well-posedness with small initial data in spaces low regularity. Then, under some suitable conditi...

background: elastomeric chains are commonly used in orthodontics. force decay in these materials poses clinical problems. the aim of this study was to evaluate the effects of three different mouthwashes on the force decay of orthodontic chains. materials and methods: in this experimental study, elastomeric chains with two different confi gurations were divided into eight groups (two control and...

Our understanding of fine-root decay processes is derived almost exclusively from litterbag studies. However, preparation of roots for litterbag studies and their subsequent decay within litterbags represent major departures from in situ conditions. We hypothesized that litterbag studies misrepresent fine-root decay and nutrient release rates during decomposition. To test these hypotheses we de...

We discuss numerical stabilisation of dynamics governed by nonlinear hyperbolic conservation laws through feedback boundary conditions. Using a discrete Lyapunov function we prove exponential decay of the discrete solution to first– order finite volume schemes in conservative form. Decay rates are established for a large class of finite volume schemes including the Lax–Friedrichs scheme. Theore...

This work is concerned with time-asymptotic stability of boundarylayers for a typical hyperbolic relaxation system. Under a nonclassical requirement characterizing a class of boundary conditions for the typical system, we prove the global (in time) existence and asymptotic decay of solutions with initial data close to the steady solutions or relaxation boundary-layers.

The differential quadrature method (DQM) is one of the most elegant and useful approximate methods for solving initial and/or boundary value problems. It is easy to use and also straightforward to implement. However, the conventional DQM is well-known to have some difficulty in implementing multiple initial and/or boundary conditions at a given discrete point. To overcome this difficulty, this ...

We revisit rescaling methods for nonlinear elliptic and parabolic problems show that, by suitable modifications, they may be used nonlinearities that are not scale invariant even asymptotically whose behavior can quite far from power like. In this enlarged framework, adapting the doubling-rescaling method [37, 38], we equivalence found there between universal estimates Liouville theorems remain...

Carbon removed from the atmosphere by photosynthesis is released back by respiration. Although some organic carbon is degraded quickly, older carbon persists; consequently carbon stocks are much larger than predicted by initial decomposition rates. This disparity can be traced to a wide range of first-order decay-rate constants, but the rate distributions and the mechanisms that determine them ...