In this paper, we consider the solution map of Cauchy problem to Fokas–Olver–Rosenau–Qiao equation on real line and prove that is not uniformly continuous initial data in Besov spaces. Our result extends previous results Himonas Mantzavinos (Nonlinear Anal 95:499–529, 2014) Li et al. (J Math Fluid Mech 22:50, 2020).

In order to better understand the strengthening mechanism observed in nacre, we have developed an interface computational model to simulate the behavior of the organic present at the interface between aragonite tablets. In the model, the single polymer-chain behavior is characterized by the worm-like-chain (WLC) model, which is in turn incorporated into the eight-chain cell model developed by A...

Information about population age structures is useful to understand survival rates, longevity, and population turnover. However, little such information is available about wolf (Canis lupus) populations. Mech (1970) estimated age structures of wolf-population age structure from pup:adult ratios applying various demographic assumptions, but no direct information has been published to test his es...

We present theoretical results on spontaneous stratiication of sedimenting suspensions and colloids caused by a lateral temperature gradient. Fluid motion is treated in the Stokes approximation, and motion of suspended particles is described by Burgers equation with convection. The internal structure and interaction of shocks at convection roll boundaries is studied numerically using a reduced ...

We present theoretical results on spontaneous stratiication of sedimenting suspensions and colloids caused by a lateral temperature gradient. Fluid motion is treated in the Stokes approximation, and motion of suspended particles is described by Burgers equation with convection. The internal structure and interaction of shocks at convection roll boundaries is studied numerically using a reduced ...

The structures of laminar premixed flames methane air mixture are investigated for different equivalence ratios and mass flow rates numerically. Chemkin 19 program GRI-Mech 3.0 mechanism is used numerical solution. axial velocity mole fractions each runs. It found that with the increase rate; velocities flame, location reaction zones fraction values intermediates increases. reactants do not cha...

An accurate closed-form solution is obtained to the SIR Epidemic Model through use of Asymptotic Approximants (Barlow et. al, 2017, Q. Jl Mech. Appl. Math, 70 (1), 21-48). The created by analytically continuing divergent power series such that it matches long-time asymptotic behavior epidemic model. utility analytical form demonstrated its application COVID-19 pandemic.

A computational method is presented for analyzing free surface flows of polymer solutions with the conformation tensor. It combines methods of computing Newtonian free surface flows [J. Comp. Phys. 99 (1992) 39; V.F. deAlmeida, Gas–Liquid Counterflow Through Constricted Passages, Ph.D. thesis, University of Minnesota, Minneapolis, MN, 1995 (Available from UMI, Ann Arbor, MI, order number 961516...

We study the domain of existence of a solution to a Riemann problem for the pressure gradient equation in two space dimensions. The Riemann problem is the expansion of a quadrant of gas of constant state into the other three vacuum quadrants. The global existence of a smooth solution was established in Dai and Zhang [Arch. Rational Mech. Anal., 155(2000), 277-298] up to the free boundary of vac...