P24970 Mathematics of Nonlinear Acoustics     Home    People    Publications    Talks

Publications

R. Brunnhuber
Well-posedness and exponential decay of solutions for the Blackstock-Crighton-Kuznetsov equation.
J. Math. Anal. Appl. 433 (2016), 1037-1054.

R. Brunnhuber and P.M. Jordan.
On the reduction of Blackstock's model of thermoviscous compressible flow via Becker's assumption.
Int. J. Nonlinear Mech. 78 (2016), 131-132.

R. Brunnhuber, B.Kaltenbacher and P. Radu.
Relaxation of regularity for the Westervelt equation by nonlinear damping with application in acoustic-acoustic and elastic-acoustic coupling,
Evolution Equations and Control Theory EECT, 3 (2014), 595-626.

R. Brunnhuber and B.Kaltenbacher.
Well-posedness and asymptotic behavior of solutions for the Blackstock-Crighton rotational model equation,
Discrete and Continuous Dynamical System – A DCDS-A 34 (2014), 4515-4535.

R. Brunnhuber and S. Meyer
Optimal regularity and exponential stability for the Blackstock-Crighton equation in Lp-spaces with Dirichlet and Neumann boundary conditions

C. Clason and B. Kaltenbacher.
Avoiding degeneracy in the Westervelt equation by state constrained optimal control.
Evolution Equations and Control Theory (EECT) 2:281-300, 2013.

B. Kaltenbacher.
Mathematics of Nonlinear Acoustics.
Evolution Equations and Control Theory(EECT), 4(2015) 447-491.

B.Kaltenbacher, V. Nikolić and M. Thalhammer
Efficient time integration methods based on operator splitting and application to the Westervelt equation.
IMA Journal of Numerical Analysis (2014), doi:10.1093/imanum/dru029, 33 pages.

B. Kaltenbacher and G. Peichl
The shape derivative for an optimization problem in lithotripsy.
to appear in Evolution Equations and Control Theory(EECT), 2016

B. Kaltenbacher and I. Shevchenko.
Well-posedness of the Westervelt equation with higher order absorbing boundary conditions.
submitted.

V. Nikolić and B. Kaltenbacher.
On higher regularity for the Westervelt equation with strong nonlinear damping.
Applicable Analysis, (2015) 1-17.

V. Nikolić and B. Kaltenbacher.
Sensitivity analysis for shape optimization of a focusing acoustic lens in lithotripsy.
Applied Mathematics and Optimization, published online March 2016, doi:10.1007/s00245-016-9340-x

I. Shevchenko and B. Kaltenbacher.
Absorbing boundary conditions for the Westervelt equation.
In Dynamical Systems, Differential Equations and Applications; AIMS Proceedings, p. 1000-1008, 2015. refereed, (AIMS Conference 2014, Madrid).

I. Shevchenko and B. Kaltenbacher.
Absorbing boundary conditions for nonlinear acoustics: The Westervelt equation.
Journal of Computational Physics 302(2015) 200-221.