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Letters in mathematical physics, ISSN 1573-0530, 2013, Volume 104, Issue 2, pp. 141 - 156
Journal Article
Communications in partial differential equations, ISSN 1532-4133, 2014, Volume 40, Issue 7, pp. 1314 - 1335
We consider a general Euler-Korteweg-Poisson system in R 3 , supplemented with the space periodic boundary conditions, where the quantum hydrodynamics... 
Convex integration | Weak solution | Primary: 35Q35, 35Q53 | Secondary: 76N10, 82D50 | Quantum hydrodynamics | Euler-Korteweg system | SPACE | MATHEMATICS | MATHEMATICS, APPLIED | WAVES | FLUID-DYNAMICS | SUITABLE WEAK SOLUTIONS | EQUATIONS | MODEL | UNIQUE CONTINUATION | Fluid dynamics | Dynamics | Mathematical analysis | Dissipation | Inequalities | Dynamical systems | Density | Cauchy problem
Journal Article
Zeitschrift für angewandte Mathematik und Physik, ISSN 1420-9039, 2013, Volume 65, Issue 3, pp. 531 - 548
In this paper, the velocity profile of the normal component in the stationary flow of turbulent superfluid helium inside a cylindrical channel is determined,... 
Quantized vortices | Engineering | Mathematical Methods in Physics | One-fluid model | 76F99 | Turbulent superfluid helium | 82D50 | Normal fluid profile | Theoretical and Applied Mechanics | 35G15 | Heat transfer | MATHEMATICS, APPLIED | SUPERFLUID TURBULENCE | EXTENDED IRREVERSIBLE THERMODYNAMICS | 4TH SOUND | PROPAGATION | Thermodynamics | Analysis
Journal Article
Zeitschrift für angewandte Mathematik und Physik, ISSN 1420-9039, 2017, Volume 69, Issue 1, pp. 1 - 15
Journal Article
Ricerche di Matematica, ISSN 0035-5038, 12/2019, Volume 68, Issue 2, pp. 315 - 331
In this paper, temperature waves (also known as second sound) are considered, with their respective coupling with waves in the order parameter describing the... 
35G50 | 76F99 | 76Fxx | Probability Theory and Stochastic Processes | 82D50 | Mathematics | 80A20 | Geometry | Superfluid helium | Algebra | Analysis | Numerical Analysis | Lambda phase transition | Mathematics, general | Second sound | Quantum vortices | MATHEMATICS | MATHEMATICS, APPLIED | HEAT CURRENT
Journal Article
Calculus of Variations and Partial Differential Equations, ISSN 0944-2669, 4/2017, Volume 56, Issue 2, pp. 1 - 40
Journal Article
Letters in Mathematical Physics, ISSN 0377-9017, 7/2016, Volume 106, Issue 7, pp. 913 - 923
We study the time-dependent Bogoliubov–de-Gennes equations for generic translation-invariant fermionic many-body systems. For initial states that are close to... 
Geometry | critical temperature | 46N50 | superconductivity | Theoretical, Mathematical and Computational Physics | 82D50 | Group Theory and Generalizations | Statistical Physics, Dynamical Systems and Complexity | quasi-free states | Physics | BCS theory | WEAK | FERMION PAIRS | LOW-DENSITY LIMIT | DYNAMICS | CONDENSATION | CRITICAL-TEMPERATURE | PHYSICS, MATHEMATICAL
Journal Article
Mathematical Physics, Analysis and Geometry, ISSN 1385-0172, 6/2016, Volume 19, Issue 2, pp. 1 - 27
We consider the Bogolubov–Hartree–Fock functional for a fermionic many-body system with two-body interactions. For suitable interaction potentials that have a... 
Low density limit | Theoretical, Mathematical and Computational Physics | 82D50 | BCS-theory | Physics | Geometry | 46N50 | Bogolubov-Hartree-Fock functional | Analysis | Group Theory and Generalizations | Gross-Pitaevskii functional | Applications of Mathematics | 81Q10 | Pairing | Bose-Einstein condensation | WEAK | MATHEMATICS, APPLIED | BCS | TEMPERATURE | CONDENSATION | PHYSICS, MATHEMATICAL
Journal Article
Zeitschrift für angewandte Mathematik und Physik, ISSN 0044-2275, 8/2013, Volume 64, Issue 4, pp. 1387 - 1397
In this paper, we propose a thermodynamically consistent model for superfluid-normal phase transition in liquid helium, accounting for variations of... 
Engineering | 82C26 | Thermodynamics | Mathematical Methods in Physics | Ginzburg–Landau equation | 74A15 | 82D50 | Second-order phase transitions | Theoretical and Applied Mechanics | Superfluids | Ginzburg-Landau equation | MATHEMATICS, APPLIED | PHASE-TRANSITIONS | EQUATIONS | ORDER-PARAMETER | Analysis
Journal Article
Letters in Mathematical Physics, ISSN 0377-9017, 5/2012, Volume 100, Issue 2, pp. 119 - 138
Journal Article
Letters in Mathematical Physics, ISSN 0377-9017, 6/2012, Volume 100, Issue 3, pp. 237 - 243
Journal Article
Zeitschrift für angewandte Mathematik und Physik, ISSN 1420-9039, 2012, Volume 64, Issue 2, pp. 329 - 341
Journal Article
The Journal of Geometric Analysis, ISSN 1050-6926, 12/2007, Volume 17, Issue 4, pp. 559 - 567
For the BCS equation with local two-body interaction λV(x), we give a rigorous analysis of the asymptotic behavior of the critical temperature as γ»0. We... 
82D50 | Mathematics | Birman-Schwinger kemel | Abstract Harmonic Analysis | critical temperature | 46N50 | Gap equation | Fourier Analysis | degenerate symbols | Convex and Discrete Geometry | Global Analysis and Analysis on Manifolds | 81Q10 | Differential Geometry | Dynamical Systems and Ergodic Theory | Birman-Schwinger kernel | MATHEMATICS | gap equation
Journal Article
Letters in Mathematical Physics, ISSN 0377-9017, 6/2008, Volume 84, Issue 2, pp. 99 - 107
We prove that the critical temperature for the BCS gap equation is given by $${T_c = \mu \left( \frac 8\pi {\rm e}^{\gamma -2} + o(1) \right) {\rm... 
Geometry | 46N50 | Mathematical and Computational Physics | Birman–Schwinger principle | 82D50 | Group Theory and Generalizations | BCS equation | 81Q10 | superfluidity | Physics | Statistical Physics | scattering length | Scattering length | Birman-Schwinger principle | Superfluidity | WEAK | SUPERCONDUCTIVITY | GAS | STATE | PHYSICS, MATHEMATICAL | Football (College)
Journal Article
Revista Matemática Iberoamericana, ISSN 0213-2230, 2008, Volume 24, Issue 2, pp. 671 - 702
We derive the asymptotical dynamical law for Ginzburg-Landau vortices in the plane under the Schrödinger dynamics, as the Ginz\-burg-Landau parameter goes to... 
Partial differential equations | General | Statistical mechanics, structure of matter | Nls equation | Vortex dynamics | Superfluids | MATHEMATICS | superfluids | GINZBURG-LANDAU EQUATION | NLS equation | FUNCTIONALS | MINIMIZERS | vortex dynamics | 35Q55 | 35B20 | 82D50 | 35B40
Journal Article
Zeitschrift für angewandte Mathematik und Physik, ISSN 1420-9039, 2015, Volume 66, Issue 4, pp. 1853 - 1870
Journal Article
Acta Mathematica Scientia, ISSN 0252-9602, 03/2016, Volume 36, Issue 2, pp. 317 - 324
Starting with the many-body Schrödinger Hamiltonian in ▪, we prove that the ground state energy of a two-dimensional interacting Bose gas with the pairwise... 
46N50 | attractive interactions | mean-field approximation | 82D50 | Gross-Pitaevskii functional | 35Q40 | Bose-Einstein condensation | Approximation | Mathematical analysis | Bose-Einstein condensates | Scattering | Ground state | Schroedinger equation | Hamiltonian functions | Two dimensional
Journal Article
Zeitschrift für angewandte Mathematik und Physik, ISSN 1420-9039, 2013, Volume 64, Issue 5, pp. 1571 - 1586
Journal Article
Communications in Mathematical Physics, ISSN 0010-3616, 11/1991, Volume 141, Issue 3, pp. 619 - 631
The thermodynamic functions and scaling exponents (including the Kolmogorov and Flory exponents) of a vortex filament in thermal equilibrium are calculated,... 
TURBULENCE | MODEL | PHYSICS, MATHEMATICAL | LATTICE | 76M35 | 82D50 | 82B43 | 76F99
Journal Article
Zeitschrift für angewandte Mathematik und Physik, ISSN 0044-2275, 7/2003, Volume 54, Issue 4, pp. 566 - 583
This work continues a study begun in previous works, where, using Extended Thermodynamics, a monofluid model of liquid helium II is formulated. The wave... 
Extended Thermodynamics | Liquid helium II | 82D50 | 76S05 | Mathematics | 80A20 | Superfluids | Superfiuids | MATHEMATICS, APPLIED | superfluids | extended thermodynamics | ATTENUATION | MODEL | HEII | SUPERFLUIDITY | liquid helium II | Thermodynamics | Analysis | Knowledge-based systems
Journal Article
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