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Evolution Equations & Control Theory

September 2016 , Volume 5 , Issue 3

Special issue on mathematics of nonlinear acoustics: New approaches in analysis and modeling

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Introduction to the special volume ``Mathematics of nonlinear acoustics: New approaches in analysis and modeling''
Pedro M. Jordan and Barbara Kaltenbacher
2016, 5(3): i-ii doi: 10.3934/eect.201603i +[Abstract](1180) +[PDF](107.1KB)
Nonlinear acoustics and shock formation in lossless barotropic Green--Naghdi fluids
Ivan C. Christov
2016, 5(3): 349-365 doi: 10.3934/eect.2016008 +[Abstract](979) +[PDF](641.4KB)
Oscillating nonlinear acoustic shock waves
Yuri Gaididei, Anders Rønne Rasmussen, Peter Leth Christiansen and Mads Peter Sørensen
2016, 5(3): 367-381 doi: 10.3934/eect.2016009 +[Abstract](1038) +[PDF](1315.9KB)
The effects of coupling on finite-amplitude acoustic traveling waves in thermoviscous gases: Blackstock's models
P. M. Jordan
2016, 5(3): 383-397 doi: 10.3934/eect.2016010 +[Abstract](896) +[PDF](526.2KB)
The shape derivative for an optimization problem in lithotripsy
Barbara Kaltenbacher and Gunther Peichl
2016, 5(3): 399-430 doi: 10.3934/eect.2016011 +[Abstract](1066) +[PDF](498.7KB)
Nonlinear diffusion equations in fluid mixtures
Angelo Morro
2016, 5(3): 431-448 doi: 10.3934/eect.2016012 +[Abstract](926) +[PDF](377.0KB)
The Westervelt equation with a causal propagation operator coupled to the bioheat equation.
Guy V. Norton and Robert D. Purrington
2016, 5(3): 449-461 doi: 10.3934/eect.2016013 +[Abstract](1154) +[PDF](865.2KB)
Recasting a Brinkman-based acoustic model as the damped Burgers equation
David Rossmanith and Ashok Puri
2016, 5(3): 463-474 doi: 10.3934/eect.2016014 +[Abstract](967) +[PDF](585.3KB)

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