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ABSENCE OF ANOMALOUS DISSIPATION OF ENERGY IN FORCED TWO DIMENSIONAL FLUID EQUATIONS
ABSENCE OF ANOMALOUS DISSIPATION OF ENERGY FORCED TWO DIMENSIONAL FLUID EQUATIONS
2014/4/3
Anomalous dissipation of energy in three dimensional turbulence is one of the basic statements of physical theory [55]. It has been veri ed experimentally to a large degree [75], but not mathematicall...
FINITE DIMENSIONAL ATTRACTORS FOR A CLASS OF SEMILINEAR WAVE EQUATIONS
FINITE DIMENSIONAL SEMILINEAR WAVE EQUATIONS
2010/3/17
In this paper we give a self-contained survey of results related with the global attractors for a class of nonlinear wave equations with damping or viscosity terms. In particular, we prove the existen...