Singular limit of dissipative hyperbolic equations with memory

M. Conti; V. Pata; Marco Squassina

Singular limit of dissipative hyperbolic equations with memory

M. Conti
, V. Pata
, Marco Squassina

Research output: Contribution to journal › Article › peer-review

Abstract

We consider a class of weakly damped semilinear hyperbolic equations\r\nwith memory, expressed by a convolution integral. We study the passage to the\r\nsingular limit when the memory kernel collapses into the Dirac mass at zero, and we\r\nestablish a convergence result for a proper family of exponential attractors.

Original language	English
Pages (from-to)	200-208
Number of pages	9
Journal	Discrete and Continuous Dynamical Systems
Issue number	N/A
Publication status	Published - 2005

Keywords

dissipative systems

Cite this

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title = "Singular limit of dissipative hyperbolic equations with memory",

abstract = "We consider a class of weakly damped semilinear hyperbolic equations\textbackslash{}r\textbackslash{}nwith memory, expressed by a convolution integral. We study the passage to the\textbackslash{}r\textbackslash{}nsingular limit when the memory kernel collapses into the Dirac mass at zero, and we\textbackslash{}r\textbackslash{}nestablish a convergence result for a proper family of exponential attractors.",

keywords = "dissipative systems, dissipative systems",

author = "M. Conti and V. Pata and Marco Squassina",

year = "2005",

language = "English",

pages = "200--208",

journal = "Discrete and Continuous Dynamical Systems",

issn = "1078-0947",

publisher = "American Institute of Mathematical Sciences",

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T1 - Singular limit of dissipative hyperbolic equations with memory

AU - Conti, M.

AU - Pata, V.

AU - Squassina, Marco

PY - 2005

Y1 - 2005

N2 - We consider a class of weakly damped semilinear hyperbolic equations\r\nwith memory, expressed by a convolution integral. We study the passage to the\r\nsingular limit when the memory kernel collapses into the Dirac mass at zero, and we\r\nestablish a convergence result for a proper family of exponential attractors.

AB - We consider a class of weakly damped semilinear hyperbolic equations\r\nwith memory, expressed by a convolution integral. We study the passage to the\r\nsingular limit when the memory kernel collapses into the Dirac mass at zero, and we\r\nestablish a convergence result for a proper family of exponential attractors.

KW - dissipative systems

UR - https://publicatt.unicatt.it/handle/10807/91013

M3 - Article

SN - 1078-0947

SP - 200

EP - 208

JO - Discrete and Continuous Dynamical Systems

JF - Discrete and Continuous Dynamical Systems

IS - N/A

ER -

Singular limit of dissipative hyperbolic equations with memory

Abstract

Keywords

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