where u = u{x,t) E R , the flux f(u) is a smooth n-vector-valued function, and the viscosity B(u) is a smooth n x n matrix. We are interested in the stability of traveling waves, the "viscous shock waves", for (1). It is shown that when the initial data are a perturbation of viscous shock waves, then the solution converges to these viscous shock waves, properly translated in space, in the unifo...

The effect of a combination of lithotripter shock waves and cytotoxic drugs was examined in vitro. L1210 cells in suspension were exposed to shock waves during incubation with cisplatin, doxurubicin, daunorubicin, THP-doxorubicin, or aclacinomycin. Proliferation was determined using the 3-4,5 dimethyl-thiazol-2,5 diphenyl tetrazolium bromide assay. Dose enhancement ratios were calculated for ea...

Shock waves are defined as types of acoustic pressure waves that develop during sudden releases of energy. The best-known natural phenomenon is thunder following lightning. Another example is the “bang” an aircraft produces when it breaks the sound barrier. Both focused shock waves and unfocused sound waves are produced in these examples. Additionally, almost all other forms of energy are relea...

PURPOSE We determined whether shock wave lithotripsy of the kidney of pigs with metabolic syndrome would worsen glucose tolerance or increase the risk of diabetes mellitus. MATERIALS AND METHODS Nine-month-old female Ossabaw miniature pigs were fed a hypercaloric atherogenic diet to induce metabolic syndrome. At age 15 months the pigs were treated with 2,000 or 4,000 shock waves (24 kV at 120...

Shock waves nowadays are well known for their regenerative effects. Basic research findings showed that shock waves do cause a biological stimulus to target cells or tissue without any subsequent damage. Therefore, in vitro experiments are of increasing interest. Various methods of applying shock waves onto cell cultures have been described. In general, all existing models focus on how to best ...

PURPOSE The use of shock waves in orthopedic diseases was reviewed with special regard to the clinical applications. MATERIALS AND METHODS Findings in the literature and results from our own studies were analyzed and summarized. RESULTS Extracorporeal shock waves induced osteoneogenesis in animal models with intact and fractured bones. Based on these findings shock waves were used for the t...

Oblique and conical shock waves are generated as solid projectile flies supersonically, or as a planar shock wave is reflected along a ramp. We study the stability of oblique shock waves for full Euler system of equations in gas-dynamics. The stability criterion is applied to the discussion of regular shock reflection phenomena and the transition of a regular shock reflection to Mach reflection.

Electrohydraulic and extracorporeal shock waves were used to treat the colorectal and gastric cancer cell lines LIM 2412 and MKN45. The effect on viability, cell proliferation, and the action of antitumour drugs was studied. Results showed that electrohydraulic and extracorporeal shock waves were cytotoxic to all cell lines and also caused considerable inhibition of cell proliferation. A signif...

In this paper, two-dimensional and axisymmetric, time dependent transonic and supersonic flows over a projectile overtaking a moving shock wave are considered. The flow is simulated numerically by solving full time averaged Navier-Stokes equations. The equations are linearized by Newton approach. The roe’s flux splitting method, second order central difference scheme for the diffusion terms, an...