Browsing Pure & Applied Mathematics (Scholarly Publications) by Author "KARAGEORGIS, PASCHALIS"
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Dispersion relation for water waves with nonconstant vorticity
KARAGEORGIS, PASCHALIS (2012)We derive the dispersion relation for linearized smallamplitude gravity waves for various choices of nonconstant vorticity. To the best of our knowledge, this relation is only known explicitly in the case of constant ... 
Existence of ground states for fourthorder wave equations
KARAGEORGIS, PASCHALIS (Elsevier, 2010)Focusing on the fourthorder wave equation utt+?2u+f(u)=0, we prove the existence of ground state solutions u=u(x+ct) for an optimal range of speeds and a variety of nonlinearities f. 
Supercritical biharmonic equations with powertype nonlinearity
KARAGEORGIS, PASCHALIS (2009)We study two different versions of a supercritical biharmonic equation with a powertype nonlinearity. First, we focus on the equation Delta(2)u = vertical bar u vertical bar(p1)u over the whole space R(n), where n > 4 ...