Blar i NTNU Open på forfatter "Marstrander, Johanna Ulvedal"
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REMARKS ON SOLITARY WAVES IN EQUATIONS WITH NONLOCAL CUBIC TERMS
Marstrander, Johanna Ulvedal (Journal article; Peer reviewed, 2024)In this overview paper, we show existence of smooth solitary-wave solutions to the nonlinear, dispersive evolution equations of the form ∂tu +∂x(Λsu+uΛru2) = 0, where Λs,Λr are Bessel-type Fourier multipliers. The linear ... -
Solitary waves for dispersive equations with Coifman–Meyer nonlinearities
Marstrander, Johanna Ulvedal (Journal article; Peer reviewed, 2024)Using a modified version of Weinstein’s argument for constrained minimization in nonlinear dispersive equations, we prove existence of solitary waves in fully nonlocally nonlinear equations, as long as the linear multiplier ... -
Solitary waves in equations with fully mixed nonlocal and nonlinear terms
Marstrander, Johanna Ulvedal (Master thesis, 2022)Vi studerer eksistens av solitære bølger i to familier av pseudodifferensialligninger med ikkelokale ikkelineariteter. Ikkelineariteten er enten kubisk: $\partial_{t}u + \partial_{x}(Lu - uNu^{2})=0$ eller kvadratisk: ...