Well-posedness results for a sixth-order logarithmic Boussinesq equation

DOI10.2298/FIL1913985PzbMath1499.35541MaRDI QIDQ5863910

Nazlı Irkıl, Erhan Pişkin

Publication date: 3 June 2022

Published in: Filomat (Search for Journal in Brave)

zbMATH Keywords

Boussinesq equationglobal existenceblow uplogarithmic nonlinearitydecay of solution

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) KdV equations (Korteweg-de Vries equations) (35Q53) Blow-up in context of PDEs (35B44)

Related Items (8)

Well-posedness of solutions for the dissipative Boussinesq equation with logarithmic nonlinearity ⋮ On three-dimensional Hall-magnetohydrodynamic equations with partial dissipation ⋮ Global existence and decay of solutions for a higher-order Kirchhoff-type systems with logarithmic nonlinearities ⋮ Existence and decay of solutions for a higher-order viscoelastic wave equation with logarithmic nonlinearity ⋮ Existence and decay for the logarithmic Lamé system with internal distributed delay ⋮ Global existence and decay of solutions for a system of viscoelastic wave equations of Kirchhoff type with logarithmic nonlinearity ⋮ Mathematical behavior of solutions of the Kirchhoff type equation with logarithmic nonlinearity ⋮ On the Cauchy problem for the generalized double dispersion equation with logarithmic nonlinearity

Cites Work

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• Local well-posedness for the sixth-order Boussinesq equation
• Higher-order Boussinesq equations for two-way propagation of shallow water waves
• Global rough solutions to the sixth-order Boussinesq equation
• Existence and asymptotic behavior of solution of Cauchy problem for the damped sixth-order Boussinesq equation
• Global existence and exponential growth of solution for the logarithmic Boussinesq-type equation
• Logarithmic Sobolev Inequalities
• Équations d'évolution avec non linéarité logarithmique
• Initial boundary value problem for generalized logarithmic improved Boussinesq equation
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