| Texto completo | |
| Autor(es): |
Aslan, Halit Sevki
;
Reissig, Michael
Número total de Autores: 2
|
| Tipo de documento: | Artigo Científico |
| Fonte: | Mathematische Nachrichten; v. N/A, p. 48-pg., 2024-10-08. |
| Resumo | |
In this paper, we study the following Cauchy problem for linear visco-elastic damped wave models with a general time-dependent coefficient g=g(t)$g=g(t)$: star utt-Delta u-g(t)Delta ut=0,(t,x)is an element of(0,infinity)xRn,u(0,x)=u0(x),ut(0,x)=u1(x),x is an element of Rn.$$\begin{equation} {\begin{cases} u_{tt}- \Delta u {- g(t)\Delta u_t}=0, &(t,x) \in (0,\infty) \times \mathbb {R}<^>n,\\ u(0,x)= u_0(x),\quad u_t(0,x)= u_1(x), & x \in \mathbb {R}<^>n. \end{cases}} \end{equation}$$We are interested to study the influence of the damping term -g(t)Delta ut$-g(t)\Delta u_t$ on qualitative properties of solutions to (star) as decay estimates for energies of higher order and the parabolic effect. The main tools are related to WKB-analysis. We apply elliptic as well as hyperbolic WKB-analysis in different parts of the extended phase space. (AU) | |
| Processo FAPESP: | 21/01743-3 - Comportamento assíntótico para equações de evolução com coeficientes dependentes do tempo |
| Beneficiário: | Halit Sevki Aslan |
| Modalidade de apoio: | Bolsas no Brasil - Pós-Doutorado |