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We prove the short-time asymptotic formula for the interfaces and localsolutions near the interfaces for the nonlinear double degeneratereaction-diffusion equation of turbulent filtration with strong absorption \[u_t=\Big(|(u^{m})_x|^{p-1}(u^{m})_x\Big)_x-bu^{\beta}, \, mp>1, \, \beta >0. \]Full classification is pursued in terms of the nonlinearity parameters $m,p,\beta$ and asymptotics of the initial function near its support. Numericalanalysis using a weighted essentially nonoscillatory (WENO) scheme withinterface capturing is implemented, and comparison of numerical and analyticalresults is presented.

Evolution of Interfaces for the Nonlinear Double Degenerate Parabolic Equation of Turbulent Filtration with Absorption