Finite-time degeneration of hyperbolicity without blowup for quasilinear wave equations
In three spatial dimensions, we study the Cauchy problem for the wave equation −∂[superscript 2][subscript t]Ψ + (1+Ψ)[superscript P] ΔΨ=0 for P∈{1,2}. We exhibit a form of stable Tricomi-type degeneracy formation that has not previously been studied in more than one spatial dimension. Specifically,...
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Mathematical Sciences Publishers
2018
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| Online Access: | http://hdl.handle.net/1721.1/116021 https://orcid.org/0000-0001-5020-3568 |