Geometric configurations of singularities for quadratic differential systems with total finite multiplicity $m_f=2$ [PDF]
Electronic Journal of Differential Equations, 2014 In this work we consider the problem of classifying all configurations of singularities, both finite and infinite of quadratic differential systems, with respect to the geometric equivalence relation defined in [3].
Joan C. Artes +3 more
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Modified finite-difference approximations near the singularitiy in the problem of motz [PDF]
, 1976 A simple, modified finite-difference method is described for solving Laplace's equation with boundary singularities of the infinite derivative type. Modified approximations for the derivatives of the Laplacian equation are employed near the singularity ...
Furzeland, RM, Crank, J
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Singularity formation in the incompressible Euler equation in finite and infinite time
EMS Surveys in Mathematical Sciences, 2023 Some classical and recent results on the Euler equations governing perfect (incompressible and inviscid) fluid motion are collected and reviewed, with some small novelties scattered throughout. The perspective and emphasis will be given through the lens of infinite-dimensional dynamical systems, and various open problems are listed and discussed.
Drivas, Theodore D., Elgindi, Tarek M.
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Finite vs infinite derivative loss for abstract wave equations with singular time-dependent propagation speed [PDF]
Bulletin des Sciences Mathématiques, 2021 36 ...
Ghisi M., Gobbino M.
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A Hybrid Direct–Indirect Approach for Solving the Singular Optimal Control Problems of Finite and Infinite Order [PDF]
Iranian Journal of Science and Technology, Transactions A: Science, 2017 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Maria do Rosário de Pinho +2 more
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Mathematica Bohemica, 2020 The order of growth of solutions to linear differential equations in complex plane have been investigated since 1980's and many results have been obtained by defining the order as \(\rho(f)=\limsup\limits_{r\to\infty}\frac{\log T(r,f)}{\log r}\). In this paper, by defining the order as \(\sigma_{T, z_{0}}=\limsup\limits_{r\to 0}\frac{\log^{+}T_{z_{0 ...
Samir Cherief, Saada Hamouda
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Singularities of noncommutative surfaces [PDF]
, 2018 The primary objects of study in this thesis are noncommutative surfaces; that is, noncommutative noetherian domains of GK dimension 2. Frequently these rings will also be singular, in the sense that they have infinite global dimension.
Crawford, Simon Philip
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Finite and infinite energy solutions of singular elliptic problems: Existence and uniqueness
Journal of Differential Equations, 2018 We establish existence and uniqueness of solution for the homogeneous Dirichlet problem associated to a fairly general class of elliptic equations modeled by $$ -Δu= h(u){f} \ \ \text{in}\,\ Ω, $$ where $f$ is an irregular datum, possibly a measure, and $h$ is a continuous function that may blow up at zero.
OLIVA, FRANCESCANTONIO +1 more
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Fermi edge singularity and finite-frequency spectral features in a semi-infinite one-dimensional wire [PDF]
Physical Review B, 2012 We theoretically study a charge qubit interacting with electrons in a semi-infinite 1D wire. The system displays the physics of the Fermi edge singularity. Our results generalize known results for the Fermi-edge system to the regime where excitations induced by the qubit can resolve the spatial structure of the scattering region.
Sheikhan A, Snyman I
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Geometric configurations of singularities for quadratic differential systems with three distinct real simple finite singularities [PDF]
, 2013 Agraïments: The third author is supported by NSERC. The fourth author is also supported by the grant 12.839.08.05F from SCSTD of ASM and partially by NSERC.In this work we classify, with respect to the geometric equivalence relation, the global ...
Artés Ferragud, Joan Carles +3 more
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