Spectral Stability of Weak Relaxation Shock Profiles |
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| Authors: | Corrado Mascia Kevin Zumbrun |
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| Institution: | 1. Dipartimento di Matematica “G. Castelnuovo” , Sapienza – Università di Roma , Roma, Italy mascia@mat.uniroma1.it;3. Mathematics Department , Indiana University , Bloomington, Indiana, USA |
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| Abstract: | Using a combination of Kawashima- and Goodman-type energy estimates, we establish spectral stability of general small-amplitude relaxation shocks of symmetric dissipative systems. This extends previous results obtained by Plaza and Zumbrun 8
Plaza , R. ,
Zumbrun , K. ( 2004 ). An Evans function approach to spectral stability of small-amplitude shock profiles . Discrete Contin. Dyn. Syst. 10 : 885 – 924 . Google Scholar]] by singular perturbation techniques under an additional technical assumption, namely, that the background equation be noncharacteristic with respect to the shock. |
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| Keywords: | Asymptotic stability Hyperbolic systems with relaxation Shock profiles Spectral proper ties |
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