Sharp bounds for eigenvalues of biharmonic operators with complex potentials in low dimensions
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DOI: 10.1002/mana.202000196
Abstract: We derive sharp quantitative bounds for eigenvalues of biharmonic operators perturbed by complex‐valued potentials in dimensions one, two and three. read more here.
Keywords: bounds eigenvalues; operators complex; eigenvalues biharmonic; complex potentials ... See more keywords
Eigenvalue bounds for Stark operators with complex potentials
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DOI: 10.1090/tran/7873
Abstract: We consider the three-dimensional Stark operator perturbed by a complex-valued potential. We obtain an estimate for the number of eigenvalues of this operator as well as for the sum of imaginary parts of eigenvalues situated… read more here.
Keywords: operators complex; eigenvalue bounds; complex potentials; bounds stark ... See more keywords
Vector solitons in nonparity-time-symmetric complex potentials.
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DOI: 10.1364/oe.26.026511
Abstract: The existence and stability of vector solitons in non-parity-time (PT)-symmetric complex potentials are investigated. We study the vector soliton family, in which the propagation constants of the two components are different. It is found that… read more here.
Keywords: vector; time symmetric; complex potentials; symmetric complex ... See more keywords
Modeling Flow and Pressure Fields in Porous Media with High Conductivity Flow Channels and Smart Placement of Branch Cuts for Variant and Invariant Complex Potentials
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DOI: 10.3390/fluids4030154
Abstract: A long overdue distinction between so-called variant and invariant complex potentials is proposed here for the first time. Invariant complex potentials describe physical flows where a switch of the real and imaginary parts of the… read more here.
Keywords: flow channels; branch; variant invariant; complex potentials ... See more keywords