Publications

 

“Boundary Problem of Elasticity Theory forSemispacewith Perturbed Boundary”,

Sov. Math. (Lith. Math. Collect.), v. 27, 172 – 180 (1987)

http://www.ams.org/mathscinet/pdf/895970.pdf?pg1=IID&s1=243309&r=10

 

  1. “Elasticity of BiaxialNematicLiquid Crystal”,

Sov. Phys. Crystallography, v. 34, pp. 737 – 739 (1989)

http://www.technion.ac.il/~lfel/Crystallogr89.pdf

 

  1. “Freederickszstructural transition in an orthorhombic nematic”,

Sov. Phys. JETP, v. 72, pp. 659-665 (1991)

http://www.jetp.ac.ru/cgi-bin/dn/e_072_04_0659.pdf

 

  1. “Viscosity of BiaxialNematicLiquid Crystals”,

Molecular Crystals and Liquid Crystals, v. 206, #1, pp. 1-7 (1991)

http://www.tandfonline.com/doi/abs/10.1080/00268949108037712

 

  1. “ElectrohydrodynamicOscillations inNematic LC with Permittivity Anisotropy”,

Sov. Phys. JETP, v. 75, pp. 666-675 (1992)

http://www.jetp.ac.ru/cgi-bin/dn/e_075_04_0666.pdf

 

  1. “On the Contact Problem of Elasticity Theory”,

Sov. Phys. Mech. Sol. State, v. 4, pp. 78-81 (1991)

http://tx.technion.ac.il/~lfel/MTT92.pdf

 

  1. “Bifurcations at theElectrohydrodynamicEffect Threshold in Uniaxial Nematic”

Sov. Phys. JETP, v. 76, pp. 609-617 (1993)

http://www.jetp.ac.ru/cgi-bin/dn/e_076_04_0609.pdf

 

  1. “Possible Nature of Anomalies near theFreederickszEffect Threshold”,

Sov. Phys. JETP, v. 76, pp. 618-621 (1993), with E. Loginov

http://tx.technion.ac.il/~lfel/JETF1993.pdf

 

  1. “Order Parameter of Icosahedral Liquid Crystals”,

Sov. Phys. Crystallography, v. 38, pp. 197 – 198 (1993)

http://tx.technion.ac.il/~lfel/Crystallogr1993.pdf

 

  1. 10. “Tetrahedral Symmetry inNematicLiquid Crystals”,

Phys. Rev.E, v. 52, pp. 702-717 (1995)

http://journals.aps.org/pre/pdf/10.1103/PhysRevE.52.702

 

  1. “Symmetry of theFreederickszTransition”,

Phys. Rev.E, v. 52, pp. 2692-2701 (1995)

http://journals.aps.org/pre/pdf/10.1103/PhysRevE.52.2692

 

  1. “Enhancement of Thermoelectric Power Factor in Thermoelectrics”,
  2. Appl. Phys., v. 85, pp. 8205-8215 (1999),with D. Bergman

http://scitation.aip.org/docserver/fulltext/aip/journal/jap/85/12/1.370660.pdf?expires=1456437210&id=id&accname=2087294&checksum=DE50E19ED533D54340E046E3E090D945

 

  1. “Isotropic Conductivity of 2-dim 3-Component Symmetric Composites”,
  2. Physics A, v. 33, pp. 6669-6679 (2000),with V.Machavariani and D. Bergman

http://iopscience.iop.org/article/10.1088/0305-4470/33/38/302/pdf;jsessionid=488C703E5D299EF949BE2244E9064D48.c3.iopscience.cld.iop.org

 

  1. “On Keller Theorem for Anisotropic Media”,
  2. Math. Phys., v. 43, # 7, pp. 3676-3677 (2002)

http://scitation.aip.org/docserver/fulltext/aip/journal/jmp/43/7/1.1480450.pdf?expires=1456437380&id=id&accname=2087294&checksum=5E02D4C76FEAB6268AD01D4F495B6885

 

  1. “Piezoelectricity andPiezomagnetism: Duality in 2-dim Checkerboards”,
  2. Math. Phys., v. 43, # 5, pp. 2606-2609 (2002)

http://scitation.aip.org/docserver/fulltext/aip/journal/jmp/43/5/1.1466881.pdf?expires=1456437428&id=id&accname=2087294&checksum=57F1029A9BB2D6017E596C6B07664A5D

 

  1. “On Effective Conductivity onZdLattice”,
  2. Stat.Phys., v. 108, # 5/6, pp. 1015-1031 (2002),with K. Khanin,

http://link.springer.com/article/10.1023%2FA%3A1019787330168#page-1

 

  1. “Sylvester Waves in theCoxeterGroups”,

Ramanujan J., v. 6, #3, pp. 307-329 (2002), with B. Rubinstein

http://link.springer.com/article/10.1023%2FA%3A1019749432120#page-1

 

  1. “Relation between Effective Conductivity of Two-Component Rhombic Checkerboard”,
  2. Physics A, v. 36, pp. 5349-5358 (2003),with I.Kaganov,

http://iopscience.iop.org/article/10.1088/0305-4470/36/19/311/pdf

 

  1. “Rayleigh Instability in Liquid Crystalline Jets”,

JETP, v. 98, pp. 960-973 (2004), with Y. Zimmels

http://library.technion.ac.il/jetp/JETv98_2004/JETv98i5/960_1.pdf

 

  1. 20.”On thePolya Enumeration Theorem”,

Intelligent Inform. Management, v. 1, pp. 172-173 (2009),

http://file.scirp.org/Html/1097.html

 

  1. “Restricted Partition Functions as Bernoulli and Euler Polynomials of Higher Order”,

Ramanujan J., v. 11, #11, pp. 331-347 (2006), with B. Rubinstein

http://link.springer.com/article/10.1007%2Fs11139-006-8479-5#/page-1

 

  1. “FrobeniusProblem for SemigroupsS(a,b,c)”,

Funct. Analysis and Other Math., v. 1, #2, pp. 135-178 (2006),

http://link.springer.com/article/10.1007%2Fs11853-007-0009-5

 

  1. “Power Sums for SemigroupsS(a,b,c)”,

Semigroup Forum, v. 74, pp. 93-98 (2006), with B. Rubinstein

http://link.springer.com/article/10.1007%2Fs00233-006-0658-6

 

  1. “Analytic Representations in the 3DFrobeniusProblem”,

Func. Analysis & Other Math., v. 2, #1, pp. 27-44 (2008),

http://link.springer.com/article/10.1007%2Fs11853-008-0014-3

 

  1. “WeakAsymptoticsin the 3D Frobenius Problem”,

Func. Analysis & Other Math., v. 2, #2/4, pp. 179-202 (2009)

http://link.springer.com/article/10.1007%2Fs11853-008-0019-y

 

  1. “Landau-StanyukovichRule and the Similarity Parameter for Converging Shocks”,

JETP Lett., v 89, #1, pp. 14-18 (2009), with V. Gurovich

http://link.springer.com/article/10.1134%2FS0021364009010044

 

  1. “Symmetric Numerical Semigroups Generated by Fibonacci and Lucas Triples”,

Integers: Electr. J. Comb. Number Theory, v. 9, pp. 107-116 (2009)

http://www.emis.de/journals/INTEGERS/papers/j9/j9.pdf

 

  1. “Gaps in Non-Symmetric Numerical Semigroups”,

Israel J. Math., v. 175, pp. 85-112 (2010), with F. Aicardi,

http://link.springer.com/article/10.1007%2Fs11856-010-0003-3

 

  1. “Dispersion andDispersivity Tensors in Saturated Porous Media with

Uniaxial Symmetry”,

TIPM, v. 85, pp. 259-268 (2010), with J. Bear

http://link.springer.com/article/10.1007%2Fs11242-010-9558-z

 

  1. 30. “Duality Relation for the Hilbert Series of Almost Symmetric Numerical Semigroups”,

Israel J. Math., v. 185, pp. 413-444 (2011)

http://link.springer.com/article/10.1007%2Fs11856-011-0117-2#/page-1

 

  1. “On Numerical Experiments with symmetric Semigroups Generated by Three Elements

And Their Generalization“

Func. Analysis & Other Math., v. 3, pp. 179-192 (2011)

http://link.springer.com/article/10.1007%2Fs11853-011-0048-9

 

  1. “Capillary Pressure Curve for Liquid Menisci in a Cubic Assembly of Spherical

Particles below Irreducible Saturation“,

TIPM, v. 89, pp. 63-73 (2011), with J. Bear and B. Rubinstein

http://research.stowers-institute.org/bru/TransportPorousMedia_2011.pdf

 

  1. “Rarefaction Shock Waves inCollisionlessPlasma with an Electron Beam”,

Euro. Phys. Lett., v. 98, #5, pp. 54003p1-p4 (20112) ), with V. Gurovich

http://iopscience.iop.org/article/10.1209/0295-5075/98/54003/pdf

 

  1. “Theory of AxisymmetricPendularRings”,
  2. Colloid Interface Sci., v. 417, #3, pp 37-50 (2014), with B. Rubinstein

http://www.sciencedirect.com/science/article/pii/S0021979713010291

 

  1. “Converting Neutron Stars into Strange Stars: Instanton Model”,

Intern. J. Modern Physics, v. 23, #9, pp. 1450078-1/11 (2014), with V. Gurovich

http://www.worldscientific.com/doi/pdfplus/10.1142/S0218271814500783

 

  1. “Stability of Axisymmetric Liquid Bridges”,
  2. Angew.Math. Physik, v. 66, #6, pp. 3447-3471 (2015), with B. Rubinstein

http://link.springer.com/article/10.1007/s00033-015-0555-5

 

  1. “OnFrobenius numbers for Symmetric (not CompleteIntersection)

Semigroups Generated by Four Elements”,

Semigroup Forum, v. 93, pp. 423-426 (2016),

http://link.springer.com/article/10.1007/s00233-015-9751-z

 

  1. “Stability ofUnduloidal and Nodoidal Menisci between two Solid Spheres”,
  2. Geom. Symmetry Phys., v. 39, pp. 77-98 (2015),with B. Rubinstein

http://obzor.bio21.bas.bg/jgsp/jgsp_files/vol39/Rubinstein_j.pdf

http://tx.technion.ac.il/~lfel/UnduloidSphere5ZAMP.pdf

 

  1. “Multiple Liquid Bridges with Non-Smooth Interfaces“,
  2. Angew.Math. Physik, v. 67: 107 (2016), with B. Rubinstein and V. Ratner

http://link.springer.com/article/10.1007/s00033-016-0702-7

 

  1. 40. “Restricted Partition Functionsand Identities for Degrees of Syzygies in Numerical Semigroups “,

Ramanujan J., (2017), accepted

http://arxiv.org/pdf/0912.5192.pdf

 

 

Preprints

 

  1. On Summatory Totient Functions

https://arxiv.org/pdf/0802.0619.pdf

 

  1. Summatory Multiplicative Arithmetic functions: Scaling and Renormalization

http://arxiv.org/pdf/1108.0957v1.pdf

 

  1. Symmetric (not Complete Intersection) Semigroups Generated by Five Elements

http://arxiv.org/pdf/1604.00577v1.pdf

 

  1. Numerical Semigroups Generated by Squares, Cubes and Quartics

      of Three Consecutive Integers

http://arxiv.org/pdf/1608.08693v1.pdf

 

  1. Gaussian Polynomials and Restricted Partition Functions with Constraints

https://arxiv.org/pdf/1611.09931v1.pdf