Ola Isaac Høgåsen Mæhlen

• Fjordholm, Ulrik Skre; Mæhlen, Ola Isaac Høgåsen & Ørke, Magnus Christie (2024). The particle paths of hyperbolic conservation laws. Mathematical Models and Methods in Applied Sciences. ISSN 0218-2025. doi: 10.1142/S0218202524500209.
• Mæhlen, Ola Isaac Høgåsen; Varholm, Kristoffer & Ehrnstrom, Mats (2024). On the precise cusped behaviour of extreme solutions to Whitham-type equations. Annales de l'Institut Henri Poincare. Analyse non linéar. ISSN 0294-1449.
• Mæhlen, Ola Isaac Høgåsen & Xue, Jun (2023). One-sided Hölder regularity of global weak solutions of negative order dispersive equations. Journal of Differential Equations. ISSN 0022-0396. 364, p. 412–455. doi: 10.1016/j.jde.2023.03.048. Full text in Research Archive Show summary

  We prove global existence, uniqueness and stability of entropy solutions with L^2 initial data for a general family of negative order dispersive equations. These weak solutions are found to satisfy one-sided Hölder conditions whose coefficients decay in time. The latter result controls the height of solutions and further provides a way to bound the maximal lifespan of classical solutions from their initial data.

• Mæhlen, Ola Isaac Høgåsen (2020). Solitary waves for weakly dispersive equations with inhomogeneous nonlinearities. Discrete and Continuous Dynamical Systems. Series A. ISSN 1078-0947. 40(7), p. 4113–4130. doi: 10.3934/dcds.2020174. Full text in Research Archive
• Ehrnstrom, Mats; Remonato, Filippo; Mæhlen, Ola Isaac Høgåsen & Johnson, Mathew A (2019). On the Bifurcation Diagram of the Capillary–Gravity Whitham Equation. Water Waves. ISSN 2523-367X. 1, p. 275–313. doi: 10.1007/s42286-019-00019-4. Full text in Research Archive

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• Mæhlen, Ola Isaac Høgåsen (2018). Solitary waves for dispersive equations.
• Mæhlen, Ola Isaac Høgåsen (2018). Solitary waves for dispersive equations of positive order with inhomogeneous nonlinearities.

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