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Dissipative behavior of some fully non-linear KdV-type equations
KdV-type equations Finite-difference methods Nonlinear dynamics
2015/10/8
The KdV equation can be considered as a special case of the general equationutCf .u/x−g.uxx/x D 0;> 0;wheref is
non-linear andg is linear, namelyf .u/ D u2=2 andg.v/ D v. As the parameter t...
On the critical dissipative quasi-geostrophic equation
the critical dissipative quasi-geostrophic equation
2014/4/4
The 2D quasi-geostrophic (QG) equation is a two dimensional model of the 3D incompressible Euler equations. When dissipation is included in the model then solutions always exist if the dissipation's w...
NONLINEAR MAXIMUM PRINCIPLES FOR DISSIPATIVE LINEAR NONLOCAL OPERATORS AND APPLICATIONS
NONLINEAR MAXIMUM PRINCIPLES DISSIPATIVE LINEAR NONLOCAL OPERATORS APPLICATIONS
2014/4/3
We obtain a family of nonlinear maximum principles for linear dissipative nonlocal operators,that are general, robust, and versatile. We use these nonlinear bounds to provide transparent proofs of glo...
DISSIPATIVE MODELS GENERALIZING THE 2D NAVIER-STOKES AND THE SURFACE QUASI-GEOSTROPHIC EQUATIONS
DISSIPATIVE MODELS GENERALIZING THE 2D NAVIER-STOKES THE SURFACE QUASI-GEOSTROPHIC EQUATIONS
2014/4/3
This paper is devoted to the global (in time) regularity problem for a family of active scalar equations with fractional dissipation. Each component of the velocity field u is determined by the ...
GLOBAL REGULARITY FOR A MODIFIED CRITICAL DISSIPATIVE QUASI-GEOSTROPHIC EQUATION
GLOBAL REGULARITY A MODIFIED CRITICAL DISSIPATIVE QUASI-GEOSTROPHIC EQUATION
2014/4/3
with κ > 0, α ∈ (0,1] and θ0 ∈ L2(R2). We remark that the extra Λα−1 is introduced in order to make the scaling invariance of this system similar to the scaling invariance of the critical quasi-...
Higher-order kinetic expansion of quantum dissipative dynamics: Mapping quantum networks to kinetic networks
Higher-order kinetic expansion quantum dissipative dynamics Mapping quantum networks kinetic networks
2014/9/24
We apply a new formalism to derive the higher-order quantum kinetic expansion (QKE) for studying dissipative dynamics in a general quantum network coupled with an arbitrary thermal bath. The dynamics ...
Arithmetic, geometric and harmonic mean for accretive-dissipative matrices
Lowner order Arithmetic Geometric and Harmonic mean Accretivedissipative matrix
2012/6/15
The concept of L\"{o}wner (partial) order for general complex matrices is introduced. After giving the definition of arithmetic, geometric and harmonic mean for accretive-dissipative matrices, we stud...
Diffusion in Evaporating Polymer Solutions: A Model in the Dissipative Formalism of Nonequilibrium Thermodynamics
Diffusion Evaporation Nonequilibrium thermodynamics Thermal diffusion Onsager’s coefficients
2012/4/24
In this paper, diffusion in polymer solutions undergoing evaporation of solvent is modeled as a coupled heat and mass transfer problem with moving boundary condition within the framework of nonequilib...
Global classical solutions for partially dissipative hyperbolic system of balance laws
balance laws entropy dissipative classical solutions Chemin-Lerner’s spaces
2012/2/29
This work is concerned with ($N$-component) hyperbolic system of balance laws in arbitrary space dimensions. Under entropy dissipative assumption and the Shizuta-Kawashima algebraic condition, a gener...
Constraints on dissipative unified dark matter
Dark Matter, Dark Energy, Gravitational potential, bulk viscosity, Eckart’s theory
2011/9/28
Modern cosmology suggests that the Universe contains two dark components -- dark matter and dark energy -- both unkown in laboratory physics and both lacking direct evidence. Alternatively, a unified ...
Dissipative Optomechanics in a Michelson--Sagnac Interferometer
Dissipative Optomechanics Michelson--Sagnac Interferometer optical element decay rate
2011/8/11
Abstract: Dissipative optomechanics studies the coupling of the motion of an optical element to the decay rate of a cavity. We propose and theoretically explore a realization of this system in the opt...
Traveling kinks in dissipative nonlinear dynamics
dissipative nonlinear dynamics Mathematical Physics
2011/9/20
Abstract: Ginzburg-Landau free energy functionals frequently encountered in several fields of physics lead to nonlinear cubic Euler-Lagrange equation of motion of damped type in the traveling variable...
Dynamics and constraints of the Dissipative Liouville Cosmology
Cosmology dark matter dark energy
2011/10/11
In this article we investigate the properties of the FLRW flat cosmological models in which the cosmic expansion of the Universe is affected by a dilaton dark energy (Liouville scenario). In particula...
The enclosure method for inverse obstacle scattering problems with dynamical data over a finite time interval II. Obstacles with a dissipative boundary or finite refractive index and back-scattering data
enclosure method inverse obstacle scattering problem inverse backscattering obstacle wave equation dissipative boundary condition
2011/9/5
Abstract: In this paper a wave is generated by an initial data whose support is localized at the outside of unknown obstacles and observed in a limited time on a known closed surface or the same posit...
Dissipative property of the Vlasov-Maxwell-Boltzmann System with a uniform ionic background
Vlasov-Maxwell-Boltzmann system energy method dissipation rate time-decay rate
2011/9/1
Abstract: In this paper we discuss the dissipative property of near-equilibrium classical solutions to the Cauchy problem of the Vlasov-Maxwell-Boltzmann System in the whole space $\R^3$ when the posi...