Results 11 to 20 of about 495,930 (304)
PLoS ONE, 2015 Supplying peak energy demand in a cost effective, reliable manner is a critical focus for utilities internationally. Successfully addressing peak energy concerns requires understanding of all the factors that affect electricity demand especially at peak ...
Laurie Buys +6 more
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Stability of peak solutions of a non-linear transport equation on the circle
Electronic Journal of Differential Equations, 2012 We study solutions of a transport-diffusion equation on the circle. The velocity of turning is given by a non-local term that models attraction and repulsion between elongated particles.
Edith Geigant, Michael Stoll
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Peak solutions without non-degeneracy conditions
Journal of Differential Equations, 2009 In this paper, a very important progress is made by the author in replacing the non-degeneracy hypothesis one imposes when using Lyapunov-Schmidt procedure to prove existence of peak solutions. Typically peak solutions are shown to exit for problems of type: \[ \varepsilon^2 \Delta u = g (x, u (x)) \quad\text{in } \Omega \] with either Dirichlet or ...
E.N. Dancer, Dancer, E.N.
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Single-peak and multi-peak solutions for Hamiltonian elliptic systems in dimension two
arXiv admin note: text overlap with arXiv:2205 ...
Zhang, Hui +3 more
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POST-PEAK RESPONSE AUTOMATIC SOLUTIONS IN STRUCTURAL ENGINEERING PROBLEMS – A REVIEW
Mağallaẗ Al-kūfaẗ Al-handasiyyaẗ, 2021 The ill-condition of stiffness matrix at the unstable region for example at the strain-softening region, the load control method will not be valid to give the solution therefore the displacement control method is essential to use. The stiffness matrix is
Husain K. Jarallah
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Darboux Transformation and Soliton Solution of the Nonlocal Generalized Sasa–Satsuma Equation
Mathematics, 2023 This paper aims to seek soliton solutions for the nonlocal generalized Sasa–Satsuma (gSS) equation by constructing the Darboux transformation (DT). We obtain soliton solutions for the nonlocal gSS equation, including double-periodic wave, breather-like ...
Hong-Qian Sun, Zuo-Nong Zhu
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Non-degeneracy of multi-peak solutions for the Schrödinger-Poisson problem
Advanced Nonlinear Studies, 2023 In this article, we consider the following Schrödinger-Poisson problem: −ε2Δu+V(y)u+Φ(y)u=∣u∣p−1u,y∈R3,−ΔΦ(y)=u2,y∈R3,\left\{\begin{array}{ll}-{\varepsilon }^{2}\Delta u+V(y)u+\Phi (y)u={| u| }^{p-1}u,& y\in {{\mathbb{R}}}^{3},\\ -\Delta \Phi (y)={u}^{2},
Chen Lin +3 more
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New periodic exact traveling wave solutions of Camassa–Holm equation
Partial Differential Equations in Applied Mathematics, 2022 In Zhang et al. (2007) and Zhang (2021) we constructed all single-peak traveling wave solutions of the Camassa–Holm equation including some explicit solutions. In general it is a challenge to construct exact multi-peak traveling wave solutions.
Guoping Zhang
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Disappearance of the polyelectrolyte peak in salt-free solutions
Physical Review E, 2020 We investigate the nature of the polyelectrolyte peak in salt-free solutions by molecular dynamics simulations using a minimal model of polyelectrolyte solutions that includes an explicit solvent and counterions and small angle scattering experiments.
Alexandros Chremos, Ferenc Horkay
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Multiple boundary peak solutions for some singularly perturbed Neumann problems [PDF]
, 2000 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, Changfeng +8 more
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