Nonlocal balance equation: representation and approximation of solution [PDF]
We study a nonlocal balance equation that describes the evolution of a system consisting of infinitely many identical particles those move along a deterministic dynamics and can also either disappear or give a spring. In this case, the solution of the balance equation is considered in the space of nonnegative measures.
arxiv
Modeling of Flocculation and Sedimentation Using Population Balance Equation
Flocculation is a special phenomenon for fine sediment or silt in reservoirs and estuaries. Flocculation usually results in changes of size, morphology, and settling velocity of sediment particles and finally changes of bed topography of reservoirs and ...
Zhipeng Shi+4 more
doaj +1 more source
Geostrophic balance preserving interpolation in mesh adaptive shallow-water ocean modelling [PDF]
The accurate representation of geostrophic balance is an essential requirement for numerical modelling of geophysical flows. Significant effort is often put into the selection of accurate or optimal balance representation by the discretisation of the fundamental equations.
arxiv +1 more source
Detailed Balance of Thermalization dynamics in Rydberg atom quantum simulators
Dynamics of large complex systems, such as relaxation towards equilibrium in classical statistical mechanics, often obeys a master equation. The equation significantly simplifies the complexities but describes essential information of occupation ...
Ahn, Jaewook+4 more
core +1 more source
Accumulative pension schemes with various decremental factors
We consider accumulative defined contribution pension schemes with a lump sum payment on retirement. These schemes differ in relation to inheritance and provide various decremental factors.
M. S. Al-Nator+2 more
doaj
Finding complex balanced and detailed balanced realizations of chemical reaction networks [PDF]
Reversibility, weak reversibility and deficiency, detailed and complex balancing are generally not "encoded" in the kinetic differential equations but they are realization properties that may imply local or even global asymptotic stability of the underlying reaction kinetic system when further conditions are also fulfilled.
arxiv +1 more source
To infer the internal equilibrium structure of a gaseous planet, especially the equation of state (EOS) and size of its inner core, requires accurate determination of lower-order zonal gravitational coefficients.
DaLi Kong, KeKe Zhang
doaj +1 more source
Soliton-like Solutions of General Variable Coefficient Cylindrical/Spherical KdV Equation
The general variable coefficient cylindrical/spherical KdV equation has been investigated by using the simplified homogeneous balance method. It has been proven that if its coefficients satisfy certain constraint conditions, then the cylindrical ...
Lingxiao Li, Mingliang Wang
doaj +1 more source
Optimal Load Balancing and Assessment of Existing Load Balancing Criteria [PDF]
Parallel iterative applications often suffer from load imbalance, one of the most critical performance degradation factors. Hence, load balancing techniques are used to distribute the workload evenly to maximize performance. A key challenge is to know \textit{when} to use load balancing techniques.
arxiv
How accurate are the non-linear chemical Fokker-Planck and chemical Langevin equations?
The chemical Fokker-Planck equation and the corresponding chemical Langevin equation are commonly used approximations of the chemical master equation.
Arthur V. Straube+7 more
core +1 more source