Zobrazeno 1 - 5
of 5
pro vyhledávání: '"Bastian Hilder"'
Publikováno v:
Communications in Mathematical Physics. 400:277-314
The real Ginzburg–Landau equation arises as a universal amplitude equation for the description of pattern-forming systems exhibiting a Turing bifurcation. It possesses spatially periodic roll solutions which are known to be stable against localized
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7ebcf4d8c5753768cc4a05525cb44960
https://doi.org/10.1007/s00220-022-04619-z
https://doi.org/10.1007/s00220-022-04619-z
Autor:
Bastian Hilder
Publikováno v:
Nonlinearity. 34:5538-5575
We consider traveling front solutions connecting an invading state to an unstable ground state in a Ginzburg–Landau equation with an additional conservation law. This system appears as the generic amplitude equation for Turing pattern forming syste
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::879582f363f3dd38e89c1ce20f093ca7
https://doi.org/10.1088/1361-6544/abd612
https://doi.org/10.1088/1361-6544/abd612
Publikováno v:
Stochastic Processes and their Applications, 130(5), 2596-2638. Elsevier
In this paper we introduce a new generalisation of the relative Fisher Information for Markov jump processes on a finite or countable state space, and prove an inequality which connects this object with the relative entropy and a large deviation rate
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2391d07ae34fb443fd28c73a669b5013
https://research.tue.nl/nl/publications/d71e6b36-094d-4d84-875d-1bf4f71b2272
https://research.tue.nl/nl/publications/d71e6b36-094d-4d84-875d-1bf4f71b2272
Publikováno v:
Journal of Applied Analysis. 24:71-80
In this paper, we analyze the embedding cell method, an algorithm which has been developed for the numerical homogenization of metal-ceramic composite materials. We show the convergence of the iteration scheme of this algorithm and the coincidence of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7b4b860ca43feb2f83b7c9a704a11601
https://doi.org/10.1515/jaa-2018-0007
https://doi.org/10.1515/jaa-2018-0007
Autor:
Bastian Hilder
Publikováno v:
Bastian Hilder
We consider the one-dimensional Swift-Hohenberg equation coupled to a conservation law. As a parameter increases the system undergoes a Turing bifurcation. We study the dynamics near this bifurcation. First, we show that stationary, periodic solution
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::62e783790a4ebae6ee7a0fd0cdcd2779
http://arxiv.org/abs/1811.12178
http://arxiv.org/abs/1811.12178