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127
ON CONFORMAL DILATATION IN SPACE
, 2003
"... We study the conformality problems associated with quasiregular mappings in space. Our approach is based on the concept of the infinitesimal space and some new GrötzschTeichmüller type modulus estimates that are expressed in terms of the mean value of the dilatation coefficients. 2 ..."
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We study the conformality problems associated with quasiregular mappings in space. Our approach is based on the concept of the infinitesimal space and some new GrötzschTeichmüller type modulus estimates that are expressed in terms of the mean value of the dilatation coefficients. 2
A modulus and an extremal form of a foliation
"... We define a pmodulus of a subset of leaves of a foliation on Riemannian manifold. We prove, that the pmodulus of the foliation is conformal invariant and study the problem of existing of the extremal form for a foliaton on Riemannian manifold. We also compute the value of pmodulus and the extrem ..."
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We define a pmodulus of a subset of leaves of a foliation on Riemannian manifold. We prove, that the pmodulus of the foliation is conformal invariant and study the problem of existing of the extremal form for a foliaton on Riemannian manifold. We also compute the value of pmodulus
Conformal Distortion in Space
, 2000
"... We study the conformality problems for quasiregular mappings in space. Our approach is based on some new GrötzschTeichmüller type modulus estimates that are expressed in terms of the mean value of the dilatation coefficients. ..."
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We study the conformality problems for quasiregular mappings in space. Our approach is based on some new GrötzschTeichmüller type modulus estimates that are expressed in terms of the mean value of the dilatation coefficients.
*G Complex Shear Modulus η Loss Factor
"... D – Distance between neutral axis of host structure and composite system sE, vE, cE Elastic modulus of structure, viscoelastic material, and constraining layer, respectively sh, vh, ch Thickness of structure, viscoelastic layer, and constraining layer, respectively vg Shear parameter nC Rao corr ..."
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D – Distance between neutral axis of host structure and composite system sE, vE, cE Elastic modulus of structure, viscoelastic material, and constraining layer, respectively sh, vh, ch Thickness of structure, viscoelastic layer, and constraining layer, respectively vg Shear parameter nC Rao
Conformal transformations of dissipative operators
 Math. Proc. R. Ir. Acad
, 1999
"... Abstract In the first part of this paper we give an elementary proof of the Kreiss Theorem [6] and we slightly improve the In applied mathematics, it is very important to know when the powers of a matrix are bounded for a given norm, especially when solving a differential equation or a partial dif ..."
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(T ) be the lower bound of all C > 0 that satisfy the Kreiss condition. A conjecture was made by Leveque and Trefethen [8], and was subsequently proved by Spijker This is not the best inequality when the eigenvalues of T are of modulus 1 because then p(T ) ≤ mr 1 (T ), where m denotes the number of distinct
PHYSICAL JOURNAL E Tilt modulus of a lipid monolayer
, 2004
"... Abstract. In addition to the familiar bending and stretching deformations, lipid monolayers and bilayers in their disordered state are often subjected to tilt deformations, occurring for instance in structural rearrangements accompanying membrane fusion, or upon insertion of \oblique " hydroph ..."
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¯eld theory of chain packing, enabling numerical evaluation of the tilt modulus for realistic, multiconformation, chain models. Both approaches reveal that the tilt modulus involves two major contributions. The ¯rst is elastic in origin, arising from the stretching of the hydrocarbon chains upon a tilt
Reversible Switching of the Shear Modulus of Photoresponsive Liquid Crystalline Polymers
"... Liquid crystalline polymers (LCP) have attracted recent interest due to their ability to combine the properties of small molecule liquid crystals and those of a polymer[1]. Liquid crystalline moieties can be designed to exhibit a conformational change on the molecular level in response to thermal[2, ..."
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Liquid crystalline polymers (LCP) have attracted recent interest due to their ability to combine the properties of small molecule liquid crystals and those of a polymer[1]. Liquid crystalline moieties can be designed to exhibit a conformational change on the molecular level in response to thermal[2
METHOD OF TEST FOR CHORD MODULUS OF ELASTICITY OF CONCRETE (Compressometer Method)
"... Prior to handling test materials, performing equipment setups, and/or conducting this method, testers are required to read “SAFETY AND HEALTH ” in Section H of this method. It is the responsibility of whoever uses this method to consult and use departmental safety and health practices and determine ..."
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the applicability of regulatory limitations before any testing is performed. Users of this method do so at their own risk. A. SCOPE The procedure used in determining the modulus of elasticity of concrete by means of a compressometer is described in this test method. Alternate methods using a dial gauge capable
Conformal dimension: Cantor sets and moduli
, 2008
"... In this paper we give several conditions for a space to be minimal for conformal dimension. We show that there are sets of zero length and conformal dimension 1 thus answering a question of Bishop and Tyson. Another sufficient condition for minimality is given in terms of a modulus of a system of me ..."
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In this paper we give several conditions for a space to be minimal for conformal dimension. We show that there are sets of zero length and conformal dimension 1 thus answering a question of Bishop and Tyson. Another sufficient condition for minimality is given in terms of a modulus of a system
The pendulumslosh problem: simulation using a timedependent conformal mapping
, 2015
"... – Abstract – Suspending a rectangular vessel which is partially filled with fluid from a single rigid pivoting pole produces an interesting theoretical model with which to investigate the dynamic coupling between fluid motion and vessel rotation. The exact equations for this coupled system are deri ..."
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the physical domain to a rectangle in the computational domain with a time dependent conformal modulus. The numerical scheme expresses the implicit freesurface boundary conditions as two explicit partial differential equations which are then solved via a pseudospectral method in space. The coupled system
Results 11  20
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127