Magnetic Tunneling Between Disc-Shaped Obstacles: Magnetic tunneling between disc-shaped obstacles

Authors: Søren Fournais, Léo Morin

Source: Commun Math Phys
Fournais, S & Morin, L 2025, ' Magnetic Tunneling Between Disc-Shaped Obstacles ', Communications in Mathematical Physics, vol. 406, no. 5, 114 . https://doi.org/10.1007/s00220-025-05295-5

Subject Terms: Mathematics - Spectral Theory, General mathematical topics and methods in quantum theory, FOS: Mathematics, FOS: Physical sciences, Spectral theory and eigenvalue problems for partial differential equations, Mathematical Physics (math-ph), Elliptic equations and elliptic systems, Spectral Theory (math.SP), Mathematical Physics, Article

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Access URL: https://pubmed.ncbi.nlm.nih.gov/40270842
http://arxiv.org/abs/2411.12384
https://zbmath.org/8030977
https://doi.org/10.1007/s00220-025-05295-5
https://curis.ku.dk/ws/files/453631644/Magnetic_Tunneling.pdf

Decoupled matrix Riccati differential equations approach for robust boundary data completion in time-fractional diffusion problems

Authors: Fadhel Jday, Ridha Mdimagh, Haithem Omri

Source: Arabian Journal of Mathematics. 14:85-105

Subject Terms: Stability theory of functional-differential equations, Anomalous diffusion models (subdiffusion, superdiffusion, continuous-time random walks, etc.), Spectral theory and eigenvalue problems for partial differential equations, Initial-boundary value problems for PDEs with pseudodifferential operators, Fractional partial differential equations

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High‐order in‐cell discontinuous reconstruction path‐conservative methods for nonconservative hyperbolic systems–DR.MOOD method: High-order in-cell discontinuous reconstruction path-conservative methods for nonconservative hyperbolic systems-DR.MOOD method

Authors: Ernesto Pimentel‐García, Manuel J. Castro, Christophe Chalons, Carlos Parés

Source: RIUMA. Repositorio Institucional de la Universidad de Málaga
Universidad de Málaga

Subject Terms: in-cell discontinuous reconstructions, finite volume methods, Two-layer shallow water equations, Smoothness and regularity of solutions to PDEs, Matemáticas aplicadas, Nonconservative hyperbolic systems, Finite volume methods, 01 natural sciences, Ecuaciones en derivadas parciales, Numerical aspects of the method of characteristics for initial value and initial-boundary value problems involving PDEs, Ecuaciones diferenciales hiperbólicas, Finite volume methods for initial value and initial-boundary value problems involving PDEs, Spectral theory and eigenvalue problems for partial differential equations, 0101 mathematics, Weak solutions to PDEs, Shock-capturing methods, Water waves, gravity waves, dispersion and scattering, nonlinear interaction, nonconservative hyperbolic systems, Path-conservative methods, Finite volume methods applied to problems in fluid mechanics, Series expansions (e.g., Taylor, Lidstone series, but not Fourier series), Shock waves and blast waves in fluid mechanics, two-layer shallow water equations, shock-capturing methods, Análisis matemático, MOOD, In-cell discontinuous reconstructions, First-order hyperbolic systems, path-conservative methods, Análisis numérico

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Access URL: https://hdl.handle.net/10630/32486

Many-body excitations in trapped Bose gas: A non-Hermitian approach: Many-body excitations in trapped Bose gas: a non-Hermitian approach

Authors: Grillakis, Manoussos, Margetis, Dionisios, Sorokanich, Stephen

Source: Quarterly of Applied Mathematics. 81:87-126

Subject Terms: variational principle, Applications of operator theory to differential and integral equations, nonlinear integro-partial differential equation, quasiparticle, 01 natural sciences, operator Riccati equation, Nonselfadjoint operator theory in quantum theory including creation and destruction operators, Fock space, non-self-adjoint operators, 0103 physical sciences, Quantum dynamics and nonequilibrium statistical mechanics (general), Bosonic systems in quantum theory, Spectral theory and eigenvalue problems for partial differential equations, quantum many-body dynamics, PDEs in connection with quantum mechanics

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A constructible conductivity cloak via homogenisation*: A constructible conductivity cloak via homogenisation

Authors: Yves Capdeboscq, Eleanor Gemida

Source: Inverse Problems. 41:035001

Subject Terms: Technical applications of optics and electromagnetic theory, Homogenization in optics and electromagnetic theory, Inverse problems for PDEs, homogenisation, Electromagnetic theory (general), Composite media, random media in optics and electromagnetic theory, laminate composites, Inverse problems (including inverse scattering) in optics and electromagnetic theory, Spectral theory and eigenvalue problems for partial differential equations, approximate cloaking, Homogenization in context of PDEs, PDEs in media with periodic structure, PDEs in connection with optics and electromagnetic theory

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Access URL: https://zbmath.org/7988271
https://doi.org/10.1088/1361-6420/adaa98

Lower bounds for Cauchy data on curves in a negatively curved surface

Authors: Galkowski, J, Zelditch, S

Source: Israel Journal of Mathematics. 244:971-1000

Subject Terms: Global submanifolds, Spectral problems, spectral geometry, scattering theory on manifolds, FOS: Physical sciences, eigenfunctions, Methods of global Riemannian geometry, including PDE methods, curvature restrictions, Mathematical Physics (math-ph), microlocal defect measures, 01 natural sciences, Fermi normal coordinates, Mathematics - Analysis of PDEs, FOS: Mathematics, Spectral theory and eigenvalue problems for partial differential equations, Laplacian, 0101 mathematics, Rellich identity, Mathematical Physics, Analysis of PDEs (math.AP)

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Access URL: http://arxiv.org/pdf/2002.09456
http://arxiv.org/abs/2002.09456
https://ui.adsabs.harvard.edu/abs/2020arXiv200209456G/abstract
https://discovery.ucl.ac.uk/id/eprint/10110428/
https://link.springer.com/article/10.1007/s11856-021-2201-6
https://discovery-pp.ucl.ac.uk/id/eprint/10110428/

Extension of analytic number theory and the theory of regularized harmonic series from Dirichlet series to Bessel series

Authors: Lang, Serge, Jorgenson, Jay

Source: Collected Papers Volume V ISBN: 9781461274094

Subject Terms: Cramér's theorem, Hypergeometric integrals and functions defined by them (\(E\), \(G\), \(H\) and \(I\) functions), Dirichlet series, exponential series and other series in one complex variable, Harmonic analysis in one variable, 01 natural sciences, Article, 510.mathematics, theta series, Pseudodifferential operators and other generalizations of partial differential operators, Spectral theory and eigenvalue problems for partial differential equations, Bessel series, 0101 mathematics, Other Dirichlet series and zeta functions, Spherical harmonics

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Access URL: https://link.springer.com/article/10.1007/BF01445243

Trapped modes in a channel containing three layers of fluids and a submerged cylinder

Authors: Chakrabarti, A, Daripa, P, Hamsapriye,

Source: Zeitschrift für angewandte Mathematik und Physik. 56:1084-1097

Subject Terms: potential flows, interfacial flows, Internal waves for incompressible inviscid fluids, 0103 physical sciences, Spectral theory and eigenvalue problems for partial differential equations, 0101 mathematics, PDEs in connection with fluid mechanics, 01 natural sciences, Mathematics, Trapped waves

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Access URL: https://zbmath.org/2238612
https://doi.org/10.1007/s00033-005-5041-z
https://link.springer.com/article/10.1007/s00033-005-5041-z
https://www.math.tamu.edu/~prabir.daripa/pubs/reprints/zamp-05.pdf
https://link.springer.com/content/pdf/10.1007/s00033-005-5041-z.pdf
http://ui.adsabs.harvard.edu/abs/2005ZaMP...56.1084C/abstract
http://math.tamu.edu/~pkd/pubs/reprints/zamp-05.pdf
http://eprints.iisc.ac.in/13242/

Positive Eigenfunctions of a Schrödinger Operator: Positive eigenfunctions of a Schrödinger operator

Authors: Stuart, C. A., Zhou, Huan-Song

Source: Journal of the London Mathematical Society. 72:429-441

Subject Terms: Schrödinger operator, Soliton equations, Schrödinger operator, Schrödinger equation, positive eigenfunctions, Estimates of eigenvalues in context of PDEs, Spectral theory and eigenvalue problems for partial differential equations, 0101 mathematics, 01 natural sciences

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Access URL: https://documat.unirioja.es/servlet/articulo?codigo=2207782
https://academic.oup.com/jlms/article/72/2/429/830480
https://dialnet.unirioja.es/servlet/articulo?codigo=2207782
https://infoscience.epfl.ch/record/121432
https://www.cambridge.org/core/journals/journal-of-the-london-mathematical-society/article/positive-eigenfunctions-of-a-schrodinger-operator/676123F51211A6A605F99C5013C65FA9
https://londmathsoc.onlinelibrary.wiley.com/doi/abs/10.1112/S0024610705006873
http://doc.rero.ch/record/303701/files/72-2-429.pdf

Mourre's theory for some unbounded Jacobi matrices

Authors: Jaouad Sahbani

Source: Journal of Approximation Theory. 135:233-244

Subject Terms: absolutely continuous spectrum, Mathematics(all), Numerical Analysis, Applications of operator theory in the physical sciences, Applied Mathematics, Jacobi (tridiagonal) operators (matrices) and generalizations, Mourre estimate, 01 natural sciences, Putnam-Kato method, Schrödinger operator, Schrödinger equation, Jacobi matrix, Absolutely continuous spectrum, Spectral theory and eigenvalue problems for partial differential equations, Spectrum, resolvent, 0101 mathematics, Analysis, Selfadjoint operator theory in quantum theory, including spectral analysis

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Access URL: https://zbmath.org/2207423
https://doi.org/10.1016/j.jat.2005.04.009
https://www.sciencedirect.com/science/article/pii/S0021904505000900
https://core.ac.uk/display/82749996
https://dblp.uni-trier.de/db/journals/jat/jat135.html#Sahbani05
https://dialnet.unirioja.es/servlet/articulo?codigo=1268669
https://www.sciencedirect.com/science/article/abs/pii/S0021904505000900

A method for construction of the matrix solvable models

Authors: O. Navrátil, Cestmir Burdik

Source: Journal of Physics A: Mathematical and General. 38:1533-1542

Subject Terms: eigenvalues, partial differntial equations, 0103 physical sciences, Scattering theory for PDEs, Spectral theory and eigenvalue problems for partial differential equations, 01 natural sciences, Exactly and quasi-solvable systems arising in quantum theory

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Access URL: https://zbmath.org/2158113
https://doi.org/10.1088/0305-4470/38/7/008
https://ui.adsabs.harvard.edu/abs/2005JPhA...38.1533B/abstract

PARTIAL DIFFERENTIAL EQUATIONS FOR PRODUCTS OF TWO CLASSICAL ORTHOGONAL POLYNOMIALS: Partial differential equations for products of two classical orthogonal polynomials

Authors: D.W. Lee

Source: Bulletin of the Korean Mathematical Society. 42:179-188

Subject Terms: Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable, product of classical orthogonal polynomials, Spectral theory and eigenvalue problems for partial differential equations, orthogonal polynomial systems in two variables, 0101 mathematics, 01 natural sciences

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Access URL: http://www.ndsl.kr/soc_img/society/kms/E1BMAX/2005/v42n1/E1BMAX_2005_v42n1_179.pdf
https://zbmath.org/2162887
https://doi.org/10.4134/bkms.2005.42.1.179
http://koreascience.or.kr/journal/view.jsp?kj=E1BMAX&py=2005&vnc=v42n1&sp=179
http://www.koreascience.or.kr/article/ArticleFullRecord.jsp?cn=E1BMAX_2005_v42n1_179
http://www.ndsl.kr/soc_img/society/kms/E1BMAX/2005/v42n1/E1BMAX_2005_v42n1_179.pdf

ASYMPTOTICS OF A SPECTRAL PROBLEM ASSOCIATED WITH THE NEUMANN SIEVE: Asymptotics of a spectral problem associated with the Neumann sieve

Authors: Daniel Onofrei, Bogdan Vernescu

Source: Analysis and Applications. :69-87

Subject Terms: Gamma-convergence, Asymptotic behavior of solutions to PDEs, DtN map, homogenization, Steklov problem, Spectral theory and eigenvalue problems for partial differential equations, 0101 mathematics, Homogenization in context of PDEs, PDEs in media with periodic structure, 01 natural sciences

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Access URL: https://www.worldscientific.com/doi/abs/10.1142/S0219530505000480

On Cramér’s theorem for general Euler products with functional equation: On Cramér's theorem for general Euler products with functional equation

Authors: Lang, Serge, Jorgenson, Jay

Source: Collected Papers Volume V ISBN: 9781461274094

Subject Terms: asymptotic expansion, Spectral theory, trace formulas (e.g., that of Selberg), rank one symmetric spaces, functions of Selberg type, Dirichlet series, exponential series and other series in one complex variable, Special classes of entire functions of one complex variable and growth estimates, Euler sum, 01 natural sciences, Article, ladder theorem, spectral theory of manifolds, Millson-Shintani zeta- function, Selberg zeta-functions, Riemann surfaces, 510.mathematics, eta-invariant, Langlands \(L\)-functions, one variable Dirichlet series and functional equations, regularized products, Spectral theory and eigenvalue problems for partial differential equations, Zeta functions and \(L\)-functions of number fields, functional equation, 0101 mathematics, Other Dirichlet series and zeta functions, Riemann zeta-function

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Access URL: https://link.springer.com/article/10.1007/BF01459509

ORTHOGONAL POLYNOMIALS SATISFYING PARTIAL DIFFERENTIAL EQUATIONS BELONGING TO THE BASIC CLASS: Orthogonal polynomials satisfying partial differential equations belonging to the basic class

Authors: Lance L. Littlejohn, J.K. Lee, B.H. Yoo

Source: Journal of the Korean Mathematical Society. 41:1049-1070

Subject Terms: Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable, Jacobi polynomials, Bessel polynomials, positive-definite, eigenvalue, Spectral theory and eigenvalue problems for partial differential equations, 0101 mathematics, partial diffferential equations, orthogonal polynomials basic class, 01 natural sciences

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Access URL: http://www.ndsl.kr/soc_img/society/kms/DBSHBB/2004/v41n6/DBSHBB_2004_v41n6_1049.pdf
https://zbmath.org/2143312
https://doi.org/10.4134/jkms.2004.41.6.1049
http://www.koreascience.or.kr/article/ArticleFullRecord.jsp?cn=DBSHBB_2004_v41n6_1049

Second order periodic differential operators. Threshold properties and homogenization

Authors: M. Birman, Tatiana Aleksandrovna Suslina

Source: St. Petersburg Mathematical Journal. 15:639-714

Subject Terms: periodic differential operator, General theory of partial differential operators, homogenization, threshold effect, Spectral theory and eigenvalue problems for partial differential equations, 0101 mathematics, Elliptic equations and elliptic systems, Homogenization in context of PDEs, PDEs in media with periodic structure, 01 natural sciences

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Access URL: https://www.ams.org/spmj/2004-15-05/S1061-0022-04-00827-1/S1061-0022-04-00827-1.pdf
https://zbmath.org/2123775
https://doi.org/10.1090/s1061-0022-04-00827-1
https://www.ams.org/spmj/2004-15-05/S1061-0022-04-00827-1/S1061-0022-04-00827-1.pdf
https://www.ams.org/journals/spmj/2004-15-05/S1061-0022-04-00827-1/

Stability analysis of Turing patterns generated by the Schnakenberg model

Authors: Winter, M, Wei, J, Iron, D

Source: Journal of Mathematical Biology. 49:358-390

Subject Terms: PDEs in connection with biology, chemistry and other natural sciences, Turing instability, symmetric \(N\)-peaked solutions, nonlocal eigenvalue problem, Models, Biological, 01 natural sciences, Pattern Recognition, Automated, Diffusion, Solutions, Kinetics, Nonlocal Eigenvalue Problem, 0103 physical sciences, Spectral theory and eigenvalue problems for partial differential equations, Developmental biology, pattern formation, 0101 mathematics, Symmetric N-peaked solutions, Mathematics

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Access URL: http://bura.brunel.ac.uk/bitstream/2438/3774/1/29-schn1d6.pdf
https://pubmed.ncbi.nlm.nih.gov/15657795
https://zbmath.org/2152941
https://doi.org/10.1007/s00285-003-0258-y
https://bura.brunel.ac.uk/bitstream/2438/3774/1/29-schn1d6.pdf
https://core.ac.uk/display/336313
https://link.springer.com/article/10.1007/s00285-003-0258-y
http://europepmc.org/abstract/MED/15657795
https://www.ncbi.nlm.nih.gov/pubmed/15657795
https://bura.brunel.ac.uk/handle/2438/3774
http://bura.brunel.ac.uk/handle/2438/3774

On the Discrete Spectrum of a Pseudo-Relativistic Two-Body Pair Operator: On the discrete spectrum of a pseudo-relativistic two-body pair operator

Authors: Semjon Vugalter, Timo Weidl

Source: Annales Henri Poincaré. 4:301-341

Subject Terms: High Energy Physics - Theory, Quantum Physics, Asymptotic distributions of eigenvalues in context of PDEs, Applications of operator theory in the physical sciences, FOS: Physical sciences, Mathematical Physics (math-ph), 01 natural sciences, Mathematics - Spectral Theory, High Energy Physics - Theory (hep-th), 35P20, 0103 physical sciences, FOS: Mathematics, Spectral theory and eigenvalue problems for partial differential equations, 0101 mathematics, Quantum Physics (quant-ph), Spectral Theory (math.SP), Mathematical Physics, PDEs in connection with quantum mechanics, Selfadjoint operator theory in quantum theory, including spectral analysis

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Access URL: http://arxiv.org/pdf/math-ph/0111044
http://arxiv.org/abs/math-ph/0111044
https://link.springer.com/article/10.1007/s00023-003-0131-y
https://www.arxiv-vanity.com/papers/math-ph/0111044/
https://ui.adsabs.harvard.edu/abs/2003AnHP....4..301V/abstract
https://link.springer.com/content/pdf/10.1007%2Fs00023-003-0131-y.pdf
https://rd.springer.com/content/pdf/10.1007%2Fs00023-003-0131-y.pdf

On the spectral problem in the linear stability study of flows on a sphere

Authors: Yuri N. Skiba

Source: Journal of Mathematical Analysis and Applications. 270:165-180

Subject Terms: discrete spectrum, accumulation point, Stability and instability of geophysical and astrophysical flows, embedding theorems, Applied Mathematics, Rotation in hydrodynamic stability, Spectral theory and eigenvalue problems for partial differential equations, 0101 mathematics, 01 natural sciences, Analysis, 0105 earth and related environmental sciences

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Access URL: https://zbmath.org/1801639
https://doi.org/10.1016/s0022-247x(02)00058-6
https://www.sciencedirect.com/science/article/pii/S0022247X02000586
https://www.sciencedirect.com/science/article/abs/pii/S0022247X02000586

Strongly Continuous Semigroups and Stochastic Representation: Strongly continuous semigroups and stochastic representation.

Authors: Genqian Liu

Source: Journal of the London Mathematical Society. 65:639-660

Subject Terms: Dirichlet boundary condition, One-parameter semigroups and linear evolution equations, stochastic representation, 01 natural sciences, strong barrier, Second-order elliptic equations, strongly continuous semigroup, Boundary value problems for second-order elliptic equations, Second-order parabolic equations, principal eigenvalue, Initial-boundary value problems for second-order parabolic equations, Spectral theory and eigenvalue problems for partial differential equations, elliptic operator, 0101 mathematics, Diffusion processes

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Access URL: https://www.cambridge.org/core/journals/journal-of-the-london-mathematical-society/article/strongly-continuous-semigroups-and-stochastic-representation/D85F6D3BD88946070B6B829CB3AA4EA2
https://academic.oup.com/jlms/article/65/3/639/800975
https://londmathsoc.onlinelibrary.wiley.com/doi/abs/10.1112/S0024610701003003