Zobrazeno 1 - 10
of 73
pro vyhledávání: '"Lutz Recke"'
Autor:
Irina Kmit, Lutz Recke
Publikováno v:
Journal of Dynamics and Differential Equations.
This paper concerns the behavior of time-periodic solutions to 1D dissipative autonomous semilinear hyperbolic PDEs under the influence of small time-periodic forcing. We show that the phenomenon of forced frequency locking happens similarly to the a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f93946cf76e77b0208c001d9e16e5743
https://doi.org/10.1007/s10884-022-10236-0
https://doi.org/10.1007/s10884-022-10236-0
Autor:
Irina Kmit, Lutz Recke
Publikováno v:
Journal of Dynamics and Differential Equations. 34:1393-1431
We consider boundary value problems for 1D autonomous damped and delayed semilinear wave equations of the type $$\begin{aligned} \partial ^2_tu(t,x)- a(x,\lambda )^2\partial _x^2u(t,x)= b(x,\lambda ,u(t,x),u(t-\tau ,x),\partial _tu(t,x),\partial _xu(
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::aa1029ddb062ba38b4552b70847f80c1
https://doi.org/10.1007/s10884-021-10009-1
https://doi.org/10.1007/s10884-021-10009-1
Publikováno v:
Journal of Evolution Equations. 21:4171-4212
The paper concerns boundary value problems for general nonautonomous first order quasilinear hyperbolic systems in a strip. We construct small global classical solutions, assuming that the right hand sides are small. In the case that all data of the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::aa21cc7d68678782575a91b0f40e1650
https://doi.org/10.1007/s00028-021-00717-y
https://doi.org/10.1007/s00028-021-00717-y
Publikováno v:
Russian Journal of Mathematical Physics. 26:55-69
We consider periodic solutions with internal transition and boundary layers (periodic contrast structures) for a singularly perturbed parabolic equation that is referred to in applications as reaction-advection-diffusion equation. An asymptotic appro
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::11901231fd66344fc6c2713e9984a37a
https://doi.org/10.1134/s1061920819010060
https://doi.org/10.1134/s1061920819010060
Autor:
Lutz Recke
Publikováno v:
Journal of Mathematical Analysis and Applications. 506:125552
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f40a815b1ef2042b7f86c2870b2530be
https://doi.org/10.1016/j.jmaa.2021.125552
https://doi.org/10.1016/j.jmaa.2021.125552
Publikováno v:
Computational Mathematics and Mathematical Physics. 58:1989-2001
For a singularly perturbed parabolic problem with Dirichlet conditions we prove the existence of a solution periodic in time and with boundary layers at both ends of the space interval in the case that the degenerate equation has a double root. We co
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a34724a30b103b414f4d8b53fe6452d5
https://doi.org/10.1134/s0965542518120072
https://doi.org/10.1134/s0965542518120072
Publikováno v:
Discrete and Continuous Dynamical Systems - B. 27:4255
We consider weak boundary layer solutions to the singularly perturbed ODE systems of the type \begin{document}$ \varepsilon^2\left(A(x, u(x), \varepsilon)u'(x)\right)' = f(x, u(x), \varepsilon) $\end{document}. The new features are that we do not con
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::bec38c95eba2824a21e1f63352a4d43b
https://doi.org/10.3934/dcdsb.2021226
https://doi.org/10.3934/dcdsb.2021226
Publikováno v:
Automatic Control and Computer Sciences. 51:606-613
For a singularly perturbed parabolic problem with Dirichlet boundary conditions, the asymptotic decomposition of a solution periodic in time and with boundary layers near the ends of the segment where the degenerate equation has a double root is cons
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::fd794ec3cb7be521ed1236bf8602c382
https://doi.org/10.3103/s0146411617070045
https://doi.org/10.3103/s0146411617070045
Publikováno v:
Journal of Differential Equations. 262:4823-4862
In this paper, we present a result of implicit function theorem type, which was designed for applications to singularly perturbed problems. This result is based on fixed point iterations for contractive mappings, in particular, no monotonicity or sig
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4c362001dac544836e80b781b5cda451
https://doi.org/10.1016/j.jde.2016.12.020
https://doi.org/10.1016/j.jde.2016.12.020
Publikováno v:
Journal of Differential Equations. 262:2493-2520
We investigate evolution families generated by general linear first-order hyperbolic systems in one space dimension with periodic boundary conditions. We state explicit conditions on the coefficient functions that are sufficient for the existence of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::11f652cad88a80ed5ecd61382b65b674
https://doi.org/10.1016/j.jde.2016.11.003
https://doi.org/10.1016/j.jde.2016.11.003