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Full-Text Articles in Physical Sciences and Mathematics
Decay Estimates For Nonlinear Wave Equations With Variable Coefficients, Michael Jacob Roberts
Decay Estimates For Nonlinear Wave Equations With Variable Coefficients, Michael Jacob Roberts
Masters Theses
We studied the long time behavior of solutions of nonlinear wave equations with variable coefficients and an absorption nonlinearity. Such an equation appears in models for traveling waves in a non-homogeneous gas with damping that changes with position. We established decay estimates of the energy of solutions. We found three different regimes of decay of solutions depending on the exponent of the absorption term. We show the existence of two critical exponents. For the exponents above the larger critical exponent, the decay of solutions of the nonlinear equation coincides with that of the corresponding linear problem. For exponents below the …
Soft X-Ray Spectroscopic Investigation Of Oxides For Renewable Energy Applications, Eric Westbrook Martin
Soft X-Ray Spectroscopic Investigation Of Oxides For Renewable Energy Applications, Eric Westbrook Martin
Chancellor’s Honors Program Projects
No abstract provided.