We study the inverse energy transfer in forced two-dimensional (2D) Navier–Stokes turbulence in a doubly periodic domain. It is shown that an inverse energy cascade that carries a nonzero fraction of the injected energy to the large scales via a power-law energy spectrum ∝ k−α requires that α ≥ 5/3. This result is consistent with the classical theory of 2D turbulence that predicts a k−5/3 inver...

Gaseous combustion is governed by a set of transport equations expressing the conservation of mass, momentum and energy, and by a thermodynamic equation of state describing the gas behaviour. The derivation of these conservation equations from mass, species and energy balances may be found in standard books [1–3]. Among these equations there is the transport equation of chemical species that in...

Using a mathematical model, we investigate the role of hydrodynamic forces on three-dimensional axisymmetric multicomponent vesicles. The equations are derived using an energy variation approach that accounts for different surface phases, the excess energy associated with surface domain boundaries, bending energy and inextensibility. The equations are high-order (fourth order) nonlinear and non...

A molecular motor utilizes chemical free energy to generate a unidirectional motion through the viscous fluid. In many experimental settings and biological settings, a molecular motor is elastically linked to a cargo. The stochastic motion of a molecular motor-cargo system is governed by a set of Langevin equations, each corresponding to an individual chemical occupancy state. The change of che...

We deal with strongly competing multispecies systems of Lotka-Volterra type with homogeneous Neumann boundary conditions in dumbbell-like domains. Under suitable non-degeneracy assumptions, we show that, as the competition rate grows indefinitely, the system reaches a state of coexistence of all the species in spatial segregation. Furthermore, the limit configuration is a local minimizer for th...

this paper deals with the behavior at infinity of solutions to a class of wave equations with nonlinear dampingterms defined in a semi-infinite cylinder. the spatial behavior of solutions is studied and an alternative ofphragmén-lindelöf type theorems is obtained in the results. the main point in the contribution is the use of energy method.

This paper provides the thermodynamic approach and constitutive theory for closure of the conservation equations for multiphase flow in porous media. The starting point for the analysis is the balance equations of mass, momentum, and energy for two fluid phases, a solid phase, the interfaces between the phases and the common lines where interfaces meet. These equations have been derived at the ...

in this research ideal magnetohydrodynamics equations (mhd) has been solved in a channel of quasi one dimensional plasma flow. magnetohydrodynamics equations, including continuity, momentum, energy and induced magnetic field equations are with the respect of the gauss magnetic condition. the implemented numerical solution is based on harten, lax, vanleer (hlld) discontinuities solution methods....

We analyze a simple approximation scheme based on the Morita-approach for the example of the mean field random field Ising model where it is claimed to be exact in some of the physics literature. We show that the approximation scheme is flawed, but it provides a set of equations whose metastable solutions surprisingly yield the correct solution of the model. We explain how the same equations ap...