Blow-up criterion and upper bound on blow-up time established for logarithmic pseudo-parabolic p(x)-Laplacian equation; global existence and H01 decay shown under small initial data, with 2D numerical illustration.
Antonsev, Blow up of solutions to parabolic equations with nonstandard growth conditions , J
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Blow-up results for a logarithmic pseudo-parabolic $p(.)$-Laplacian type equation
Blow-up criterion and upper bound on blow-up time established for logarithmic pseudo-parabolic p(x)-Laplacian equation; global existence and H01 decay shown under small initial data, with 2D numerical illustration.