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math.AP2015
Preventing blow up by convective terms in dissipative PDEs
Bilgesu Bilgen, Varga Kalantarov, Sergey Zelik
We study the impact of the convective terms on the global solvability or finite time blow up of solutions of dissipative PDEs. We consider the model examples of 1D Burger's type eq…
math.AP2015★ 1 cited
About Blow up of Solutions With Arbitrary Positive Initial Energy to Nonlinear Wave Equations
B. A. Bilgin, V. K. Kalantarov
We show that blow up of solutions with arbitrary positive initial energy of the Cauchy problem for the abstract wacve eqation of the form in a Hilbert space…