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We study the limiting behaviour of solutions to a simple model for combustion waves when the reaction rate tends to innnity. First we establish strong convergence for locally uniformly bounded sequences of solutions. Next we show the uniform boundedness of piecewise smooth detonations and deeagrations with respect to the reaction rate.
We study the existence and nonexistence of solutions to a semilinear elliptic equation with inverse-square potential. The dividing line with respect to existence or nonexistence is given by a critical exponent, which depends on the strength of the potential. In this paper we study the existence and nonexistence of solutions u ≥ 0 of the equation −∆u = c r 2… (More)
retired from Chevron in 2005 after 37 years of service. He began his career in Chevron's Corporate Engineering Department, providing technical engineering expertise in machinery, pressure vessels, tanks, and heat exchangers for onshore and offshore refining and chemical facilities, geothermal facilities, pipelines, and ships. Mr. Hopper subsequently managed… (More)