The geometry of the minimum radial separation functional: the planar case

1995 ◽  
Vol 6 (10) ◽  
pp. 1442-1450 ◽  
Author(s):  
M J Kaiser
Keyword(s):  
Planar Case ◽  
Radial Separation

scholarly journals Verification Studies for the Noh Problem Using Nonideal Equations of State and Finite Strength Shocks

2018 ◽  
Vol 3 (2) ◽  
Author(s):  
Sarah C. Burnett ◽  
Kevin G. Honnell ◽  
Scott D. Ramsey ◽  
Robert L. Singleton
Keyword(s):  
Equations Of State ◽  
National Laboratory ◽  
Jump Conditions ◽  
Self Similarity ◽  
Planar Case ◽  
Los Alamos National Laboratory ◽  
Flow Equations ◽  
Arbitrary Strength ◽  
Verification Test ◽  
Gamma Law

The Noh verification test problem is extended beyond the commonly studied ideal gamma-law gas to more realistic equations of state (EOSs) including the stiff gas, the Noble-Abel gas, and the Carnahan–Starling EOS for hard-sphere fluids. Self-similarity methods are used to solve the Euler compressible flow equations, which, in combination with the Rankine–Hugoniot jump conditions, provide a tractable general solution. This solution can be applied to fluids with EOSs that meet criterion such as it being a convex function and having a corresponding bulk modulus. For the planar case, the solution can be applied to shocks of arbitrary strength, but for the cylindrical and spherical geometries, it is required that the analysis be restricted to strong shocks. The exact solutions are used to perform a variety of quantitative code verification studies of the Los Alamos National Laboratory Lagrangian hydrocode free Lagrangian (FLAG).

scholarly journals Invertible harmonic and harmonic quasiconformal mappings

Filomat ◽  
2015 ◽  
Vol 29 (9) ◽  
pp. 1953-1967
Author(s):  
Miodrag Mateljevic
Keyword(s):  
Classical Result ◽  
Quasiconformal Mappings ◽  
Lipschitz Property ◽  
Planar Case ◽  
New Approach

Recently G. Alessandrini - V. Nesi and Kalaj generalized a classical result of H. Kneser (RKCTheorem). Using a new approach we get some new results related to RKC-Theorem and harmonic quasiconformal (HQC) mappings. We also review some results concerning bi-Lipschitz property for HQC-mappings between Lyapunov domains and related results in planar case using some novelty.

scholarly journals The lower bound for the modulus of the derivatives and Jacobian of harmonic injective mappings

Filomat ◽  
2015 ◽  
Vol 29 (2) ◽  
pp. 221-244 ◽  
Author(s):  
Miodrag Mateljevic
Keyword(s):  
Lower Bound ◽  
Unit Ball ◽  
Convex Domain ◽  
Lipschitz Property ◽  
Planar Case

We give the lower bound for the modulus of the radial derivatives and Jacobian of harmonic injective mappings from the unit ball onto convex domain in plane and space. As an application we show co-Lipschitz property of some classes of qch mappings. We also review related results in planar case using some novelty.

Coupling between shear and bending in the analysis of beam problems: Planar case

2018 ◽  
Vol 419 ◽  
pp. 510-525 ◽  
Author(s):  
Ahmed A. Shabana ◽  
Mohil Patel
Keyword(s):  
Planar Case

scholarly journals The asymptotically linear Hénon problem

2020 ◽  
pp. 2050042
Author(s):  
Anna Lisa Amadori
Keyword(s):  
Boundary Conditions ◽  
Morse Index ◽  
Dirichlet Boundary ◽  
Dirichlet Boundary Conditions ◽  
Radial Solutions ◽  
Asymptotically Linear ◽  
Planar Case ◽  
Asymptotic Profile ◽  
Least Energy Solutions ◽  
Least Energy

In this paper, we consider the Hénon problem in the ball with Dirichlet boundary conditions. We study the asymptotic profile of radial solutions and then deduce the exact computation of their Morse index when the exponent [Formula: see text] is close to [Formula: see text]. Next we focus on the planar case and describe the asymptotic profile of some solutions which minimize the energy among functions which are invariant for reflection and rotations of a given angle [Formula: see text]. By considerations based on the Morse index we see that, depending on the values of [Formula: see text] and [Formula: see text], such least energy solutions can be radial, or nonradial and different one from another.

scholarly journals Optimization of Interplanetary Trajectories Using the Colliding Bodies Optimization Algorithm

2020 ◽  
Vol 2020 ◽  
pp. 1-16
Author(s):  
Marco Del Monte ◽  
Raffaele Meles ◽  
Christian Circi
Keyword(s):  
Optimization Algorithm ◽  
Mechanical Engineering ◽  
Initial Conditions ◽  
Metaheuristic Algorithm ◽  
Simple Formulation ◽  
Planar Case ◽  
Orbital Transfer ◽  
Colliding Bodies Optimization ◽  
The Earth ◽  
Interplanetary Trajectories

In this paper, a recent physics-based metaheuristic algorithm, the Colliding Bodies Optimization (CBO), already employed to solve problems in civil and mechanical engineering, is proposed for the optimization of interplanetary trajectories by using both indirect and direct approaches. The CBO has an extremely simple formulation and does not depend on any initial conditions. To test the performances of the algorithm, missions with remarkably different orbital transfer energies are considered: from the simple planar case, as the Earth-Mars orbital transfer, to more energetic ones, like a rendezvous with the asteroid Pallas.

scholarly journals Finding Pulsar Emission Heights from Dual–Frequency Observations

2000 ◽  
Vol 177 ◽  
pp. 219-220
Author(s):  
Leszek A. Nowakowski
Keyword(s):  
Single Frequency ◽  
Mode Switching ◽  
Dual Frequency ◽  
Radio Pulsars ◽  
Pulsar Emission ◽  
Preliminary Results ◽  
Radio Frequencies ◽  
Radial Separation

AbstractWe present a method that allows to find the radial separation of regions emitting individual components of pulsar average profiles at two radio frequencies. It may also be used for single–frequency observations in pulsars that have intensity–dependent average profiles and/or mode–switching. Preliminary results for three radio pulsars are presented, obtained using average profiles from non-simultaneous observations.

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