Zobrazeno 1 - 10
of 37
pro vyhledávání: '"Daniel Spirn"'
Autor:
MATTHIAS KURZKE, DANIEL SPIRN
Publikováno v:
Forum of Mathematics, Sigma, Vol 2 (2014)
We establish vortex dynamics for the time-dependent Ginzburg–Landau equation for asymptotically large numbers of vortices for the problem without a gauge field and either Dirichlet or Neumann boundary conditions. As our main tool, we establish quan
Externí odkaz:
https://doaj.org/article/f6447da2ee7440f99f51c4bcdc02be63
Autor:
Daniel Spirn, Gautam Iyer
Publikováno v:
Journal of Nonlinear Science. 27:1933-1956
This paper studies questions related to the dynamic transition between local and global minimizers in the Ginzburg-Landau theory of superconductivity. We derive a heuristic equation governing the dynamics of vortices that are close to the boundary, a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::221aef0f0a90e0aa3ae003b36af86f13
https://doi.org/10.1007/s00332-017-9391-4
https://doi.org/10.1007/s00332-017-9391-4
Slender body theory is a commonly used approximation in computational models of thin fibers in viscous fluids, especially in simulating the motion of cilia or flagella in swimming microorganisms. In Mori et al. (Commun Pure Appl Math, 2018. arXiv:180
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b0f3303006f128a58d0fcbc073a9153e
Slender body theory facilitates computational simulations of thin fibers immersed in a viscous fluid by approximating each fiber using only the geometry of the fiber centerline curve and the line force density along it. However, it has been unclear h
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ee7fe73c68743e5e4466888552539c94
http://arxiv.org/abs/1807.00178
http://arxiv.org/abs/1807.00178
Publikováno v:
Illinois J. Math. 62, no. 1-4 (2018), 293-320
In this note, we prove the profile decomposition for hyperbolic Schrödinger (or mixed signature) equations on $\mathbb{R}^{2}$ in two cases, one mass-supercritical and one mass-critical. First, as a warm up, we show that the profile decomposition wo
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::320bfae7c8a785205a19b12764b50830
https://doi.org/10.1215/ijm/1552442664
https://doi.org/10.1215/ijm/1552442664
Publikováno v:
Journal of Scientific Computing. 66:296-320
We examine Petviashvilli's method for solving the equation $$ \phi - \Delta \phi = |\phi |^{p-1} \phi $$?-Δ?=|?|p-1? on a bounded domain $$\Omega \subset \mathbb {R}^d$$Ω?Rd with Dirichlet boundary conditions. We prove a local convergence result, u
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::80366ff56f877cccc5b06136add91b01
https://doi.org/10.1007/s10915-015-0023-6
https://doi.org/10.1007/s10915-015-0023-6
Autor:
Daniel Spirn, Ru-Yu Lai
We study quench detection in superconducting accelerator cavities cooled with He-II. A rigorous mathematical formula is derived to localize the quench position from dynamical data over a finite time interval at a second sound detector.
Comment:
Comment:
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1a113dc5dd4d1aa6e143ac13c929cd7c
Publikováno v:
Kurzke, M, Melcher, C, Moser, R & Spirn, D 2014, ' Vortex dynamics in the presence of excess energy for the Landau-Lifshitz-Gilbert equation ', Calculus of Variations and Partial Differential Equations, vol. 49, no. 3-4, pp. 1019-1043 . https://doi.org/10.1007/s00526-013-0609-5
We study the Landau-Lifshitz-Gilbert equation for the dynamics of a magnetic vortex system. We present a PDE-based method for proving vortex dynamics that does not rely on strong well-preparedness of the initial data and allows for instantaneous chan
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::eb760f80532375b9fb01a2bd9648e575
https://doi.org/10.1007/s00526-013-0609-5
https://doi.org/10.1007/s00526-013-0609-5
Publikováno v:
Journal of Functional Analysis. 264(3):752-782
We prove via explicitly constructed initial data that solutions to the gravity-capillary wave system in $\mathbb{R}^3$ representing a 2d air-water interface immediately fails to be $C^3$ with respect to the initial data if the initial data $(h_0, �
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c30590952a7865861cab79ac9b031167
Publikováno v:
Journal d'Analyse Mathématique. 117:47-85
We study condensate solutions of a nonlinear elliptic equation in ℝ2, which models a W-boson with a cosmic string background. The existence of condensate solutions and an energy identity are discussed, based on which the refined asymptotic behavior
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d5f0b42b85c46db23da8f272691a0230
https://doi.org/10.1007/s11854-012-0014-6
https://doi.org/10.1007/s11854-012-0014-6