Results 21 to 30 of about 3,662,481 (292)

Stratospheric chemistry: Multiple solutions [PDF]

open access: yesGeophysical Research Letters, 1979
It is shown that the equations describing chemical partitioning among Clx (HCl, Cl, ClO, ClNO3), NOt (NO, NO2, NO3, N2O5, HNO2, ClNO3) and HOx (OH, HO2) may admit multiple solutions. These solutions apply to the high latitude winter stratosphere where abrupt spatial variations may be expected for NO2, ClO and ClNO3.
Prather, M. J   +3 more
openaire   +3 more sources

Multiple positive solutions to elliptic boundary blow-up problems [PDF]

open access: yes, 2016
We prove the existence of multiple positive radial solutions to the sign-indefinite elliptic boundary blow-up problem \[ \left\{\begin{array}{ll} \Delta u + \bigl(a^+(\vert x \vert) - \mu a^-(\vert x \vert)\bigr) g(u) = 0, & \; \vert x \vert < 1, \\ u(x)
Aftalion   +44 more
core   +2 more sources

Understanding FBA Solutions under Multiple Nutrient Limitations [PDF]

open access: yesMetabolites, 2021
Genome-scale stoichiometric modeling methods, in particular Flux Balance Analysis (FBA) and variations thereof, are widely used to investigate cell metabolism and to optimize biotechnological processes. Given (1) a metabolic network, which can be reconstructed from an organism’s genome sequence, and (2) constraints on reaction rates, which may be based
Eunice van Pelt-KleinJan   +2 more
openaire   +4 more sources

Multiple Solutions of Double-Diffusive Convection in Porous Media due to Opposing Heat and Mass Fluxes on Vertical Walls

open access: yesJournal of Thermal Science and Technology, 2013
The double-diffusive convection in a porous medium due to the opposing heat and mass fluxes on the vertical walls is solved analytically. In the former analysis, we investigated only when ω < π, the parameter arising from a combination among ...
Yoshio MASUDA   +2 more
doaj   +1 more source

Magnetic reconnection solutions in the presence of multiple nulls [PDF]

open access: yes, 1999
It is known that exact analytic solutions can be constructed for incompressible magnetic reconnection in three space dimensions. In the case of an isolated X-point null, there are two types of reconnection solutions, namely, “spine” and “fan” models ...
Craig, Ian J.D.   +3 more
core   +2 more sources

On Different Type Solutions of Boundary Value Problems

open access: yesMathematical Modelling and Analysis, 2016
We consider boundary value problems of the type x'' = f(t, x, x'), (∗) x(a) = A, x(b) = B. A solution ξ(t) of the above BVP is said to be of type i if a solution y(t) of the respective equation of variations y'' = fx(t, ξ(t), ξ' (t))y + fx' (t, ξ(t), ξ' (
Maria Dobkevich, Felix Sadyrbaev
doaj   +1 more source

Application of Simplified Homogeneous Balance Method to Multiple Solutions for (2 + l)-Dimensional Burgers’ Equations

open access: yesMathematics, 2022
In this paper, three forms of (2 + l)-dimensional Burgers’ equations are investigated. More general multiple solutions of these Burgers’ equations are obtained by dependent variable transformation derived using the simplified homogeneous balance method.
Lingxiao Li   +2 more
doaj   +1 more source

An Ensemble-Proper Orthogonal Decomposition Method for the Nonstationary Navier-Stokes Equations [PDF]

open access: yes, 2016
The definition of partial differential equation (PDE) models usually involves a set of parameters whose values may vary over a wide range. The solution of even a single set of parameter values may be quite expensive.
Gunzburger, Max   +2 more
core   +4 more sources

Multiple solutions of coupled-cluster equations for PPP model of [10]annulene [PDF]

open access: yes, 2002
Multiple (real) solutions of the CC equations (corresponding to the CCD, ACP and ACPQ methods) are studied for the PPP model of [10]annulene, C_{10}H_{10}.
Drexler   +16 more
core   +2 more sources

Poisson-Nernst-Planck equations with steric effects - non-convexity and multiple stationary solutions

open access: yes, 2017
We study the existence and stability of stationary solutions of Poisson-Nernst- Planck equations with steric effects (PNP-steric equations) with two counter-charged species.
Gavish, Nir
core   +1 more source

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