scholarly journals Minimal energy problems for strongly singular Riesz kernels

2017 ◽  
Vol 291 (1) ◽  
pp. 55-85
Author(s):  
Helmut Harbrecht ◽  
Wolfgang L. Wendland ◽  
Natalia Zorii
Keyword(s):  
Minimal Energy ◽  
Riesz Kernels

Eco-Friendly Synthesis of Pyrazoline Derivatives

2017 ◽  
Vol 9 (04) ◽  
Author(s):  
Mahesh G. Kharatmol ◽  
Deepali Jagdale
Keyword(s):  
Ionic Liquids ◽  
Microwave Irradiation ◽  
Organic Synthesis ◽  
Ultrasonic Irradiation ◽  
Minimal Energy ◽  
Anticancer Activities ◽  
Conventional Methods

Pyrazoline class of compounds serve as better moieties for an array of treatments, they have antibacterial, antifungal, antiinflammatory, antipyretic, diuretic, cardiovascular activities. Apart from these they also have anticancer activities. So, pertaining to its importance, many attempts are made to synthesize pyrazolines. Since conventional methods of organic synthesis are energy and time consuming. There are elaborate pathways for green and eco-friendly synthesis of pyrazoline derivatives including microwave irradiation, ultrasonic irradiation, grinding and use of ionic liquids which assures the synthesis of the same within much lesser time and by use of minimal energy

scholarly journals Control of port-Hamiltonian systems with minimal energy supply

2021 ◽  
Author(s):  
Manuel Schaller ◽  
Friedrich Philipp ◽  
Timm Faulwasser ◽  
Karl Worthmann ◽  
Bernhard Maschke
Keyword(s):  
Hamiltonian Systems ◽  
Energy Supply ◽  
Minimal Energy

Minimal energy maneuvering control of a rigid spacecraft with momentum transfer

2007 ◽  
Vol 344 (7) ◽  
pp. 991-1005 ◽  
Author(s):  
Chi-Ching Yang ◽  
Li-Chun Lai ◽  
Chia-Ju Wu
Keyword(s):  
Momentum Transfer ◽  
Minimal Energy ◽  
Rigid Spacecraft

scholarly journals Nucleation barriers at corners for a cubic-to-tetragonal phase transformation

2015 ◽  
Vol 145 (4) ◽  
pp. 715-724 ◽  
Author(s):  
Peter Bella ◽  
Michael Goldman
Keyword(s):  
Phase Transformation ◽  
Tetragonal Phase ◽  
Scaling Law ◽  
Energetic Cost ◽  
Minimal Energy ◽  
Physical Experiments ◽  
Domain With A Corner ◽  
Appl Math ◽  
Good Agreement

We are interested in the energetic cost of a martensitic inclusion of volume V in austenite for the cubic-to-tetragonal phase transformation. In contrast with the work of Knüpfer, Kohn and Otto (Commun. Pure Appl. Math.66 (2013), 867–904), we consider a domain with a corner and obtain a better scaling law for the minimal energy (Emin ∼ min(V2/3, V7/9)). Our predictions are in good agreement with physical experiments where nucleation of martensite is usually observed near the corners of the specimen.

scholarly journals A qualitative study of a nanotube model using an iterative Taylor method

2017 ◽  
Vol 28 (03) ◽  
pp. 1750036 ◽  
Author(s):  
M. Gadella ◽  
L. P. Lara ◽  
J. Negro
Keyword(s):  
Magnetic Field ◽  
Energy Eigenvalue ◽  
Equation Of Motion ◽  
Minimal Energy ◽  
Approximate Methods ◽  
Symmetry Properties ◽  
Exactly Solvable ◽  
Taylor Method ◽  
Physical Reasons ◽  
Weyl Equation

Physical properties of graphene nanotubes may strongly depend on external fields. In a recent paper V. Jakubský, S. Kuru, J. Negro, J. Phys. A: Math. Theor. 47, 115307 (2014), the authors have studied a model of carbon nanotubes under the presence of an external magnetic field, chosen for some symmetry properties. The model admits an exact solution, provided that the value of a parameter, here denoted as [Formula: see text], be equal to zero. This parameter is the eigenvalue of the component of the momentum in the direction of the nanotube axis. However, it seems that this parameter cannot be discarded for physical reasons. The choice of nontrivial values for this parameter produces an equation of motion for electrons in the nanotube (a Dirac–Weyl equation), which cannot be exactly solvable. Then, we proposed some iterative approximate methods to solve this equation and obtaining its eigenvalues. Some tests have shown that an iterative Taylor method is more efficient than some others we have used. For [Formula: see text], we have found that, excluding the minimal energy eigenvalue, the lowest energy values obtained for [Formula: see text] split into two different ones and, therefore, producing gaps in the energy spectrum.

Design and analysis of novel friction controlling mechanism with minimal energy for in-pipe robot applications

2012 ◽  
Author(s):  
Changrak Choi ◽  
Dimitris Chatzigeorgiou ◽  
Rached Ben-Mansour ◽  
Kamal Youcef-Toumi
Keyword(s):  
Minimal Energy ◽  
Controlling Mechanism

2. Minimal-Energy Splines with Various End Constraints

1992 ◽  
pp. 23-40 ◽  
Author(s):  
Emery Jou ◽  
Weimin Han
Keyword(s):  
Minimal Energy

Optimization-Based Design of a Leg Mechanism via Combined Kinematic and Structural Analysis

1994 ◽  
Author(s):  
W. B. Shieh ◽  
S. Azarm ◽  
L. W. Tsai ◽  
A. L. Tits
Keyword(s):  
Energy Loss ◽  
Degrees Of Freedom ◽  
Controller Design ◽  
Minimum Energy ◽  
Problem Formulation ◽  
Minimal Energy ◽  
Interactive Optimization ◽  
Joint Forces ◽  
Four Bar Linkage ◽  
Optimization Based Design

Abstract We study a recently proposed compound two degrees of freedom planar leg mechanism consisting of a four-bar linkage and a pantograph. In this mechanism, one degree of freedom is used for normal walking to provide an ovoid path which emulates that of humans while the other is used only when necessary to walk over obstacles. Potential advantages of such a compound mechanism are fast locomotion, minimal energy loss, simplicity in controller design, and slenderness of the leg. To exploit these to the fullest, a multiobjective optimization-based design problem formulation is proposed with the following four design objectives: (i) minimum leg height, (ii) minimum of the maximum joint forces, (iii) minimum leg mass, and (iv) minimum energy loss for a walking cycle. In addition, this problem formulation takes into account a combination of mechanism requirements and structural requirements. Several tradeoff solutions are obtained using the Consol-Optcad interactive optimization-based design package.

Nonlinear Schrödinger systems with mixed interactions: locally minimal energy vector solutions

Nonlinearity ◽  
2021 ◽  
Vol 34 (9) ◽  
pp. 6473-6506
Author(s):  
Jaeyoung Byeon ◽  
Sang-Hyuck Moon ◽  
Zhi-Qiang Wang
Keyword(s):  
Minimal Energy ◽  
Nonlinear Schrödinger ◽  
Nonlinear Schrödinger Systems ◽  
Schrödinger Systems
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