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Load flow analysis is an essential tool for the reliable planning and operation of interconnected power systems. The constant increase in power demand, apart from the increased intermittency in power generation due to renewable energy sources without ...
Vedik Basetti +5 more
doaj +1 more source
Multiple boundary peak solutions for some singularly perturbed Neumann problems [PDF]
We consider the problem \left \{ \begin{array}{rcl} \varepsilon^2 \Delta u - u + f(u) = 0 & \mbox{ in }& \ \Omega\\ u > 0 \ \mbox{ in} \ \Omega, \ \frac{\partial u}{\partial \nu} = 0 & \mbox{ on }& \ \partial\Omega, \end{array} \right. where \
Gui, C, Wei, J, Winter, M
core +1 more source
Stratospheric chemistry: Multiple solutions [PDF]
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 solutions of coupled-cluster equations for PPP model of [10]annulene [PDF]
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
An Ensemble-Proper Orthogonal Decomposition Method for the Nonstationary Navier-Stokes Equations [PDF]
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
Understanding FBA Solutions under Multiple Nutrient Limitations [PDF]
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
The purpose of this paper is to present a new kind of analytical method, the so-called residual power series, to predict and represent the multiplicity of solutions to nonlinear boundary value problems of fractional order.
Omar Abu Arqub +3 more
doaj +1 more source
Multiple normalized solutions for quasi-linear Schr\"odinger equations [PDF]
In this paper we prove the existence of two solutions having a prescribed $L^2$-norm for a quasi-linear Schr\"odinger equation. One of these solutions is a mountain pass solution relative to a constraint and the other one a minimum either local or global.
Jeanjean, Louis +2 more
core +3 more sources
Multiple solutions to a magnetic nonlinear Choquard equation
We consider the stationary nonlinear magnetic Choquard equation [(-\mathrm{i}\nabla+A(x))^{2}u+V(x)u=(\frac{1}{|x|^{\alpha}}\ast |u|^{p}) |u|^{p-2}u,\quad x\in\mathbb{R}^{N}%] where $A\ $is a real valued vector potential, $V$ is a real valued scalar ...
A. Ambrosetti +27 more
core +1 more source
Weak solutions to the continuous coagulation equation with multiple fragmentation [PDF]
The existence of weak solutions to the continuous coagulation equation with multiple fragmentation is shown for a class of unbounded coagulation and fragmentation kernels, the fragmentation kernel having possibly a singularity at the origin.
Ankik Kumar Giri +16 more
core +5 more sources

