Blowup for nonlinear equations using a comparison principle in fourier space

DOI10.1002/cpa.3160410204zbMath0674.35045OpenAlexW2071482852WikidataQ110897654 ScholiaQ110897654MaRDI QIDQ3828399

Bob Palais

Publication date: 1988

Published in: Communications on Pure and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/cpa.3160410204

zbMATH Keywords

comparisonFourier transformHilbert spacesordinary differential inequalitiesfinite time blow upthird ordersemilinearinstabilities in vortex dynamics

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Stability in context of PDEs (35B35) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Differential inequalities involving functions of a single real variable (34A40)

Related Items

Blow-up of solutions for improved Boussinesq type equation, Singularities in a modified Kuramoto-Sivashinsky equation describing interface motion for phase transition, Blow-up sets for a complex-valued semilinear heat equation, Travelling waves in bubbly liquid with continuous bubble-size distribution, Blowup of solutions for the bad Boussinesq-type equation., Numerical approach to fractional blow-up equations with Atangana-Baleanu derivative in Riemann-Liouville sense, Finite-time blow-up in dynamical systems, Blowup for the nonlinear heat equation with small initial data in scale-invariant Besov norms, Necessary and sufficient conditions for finite time singularities in ordinary differential equations, Stability and dynamics of self-similarity in evolution equations, Large-amplitude solutions to the Sivashinsky and Riley-Davis equations for directional solidification, Further properties of a continuum of model equations with globally defined flux, Stability of geometric flows on the circle, Convergence and blow-up of solutions for a complex-valued heat equation with a quadratic nonlinearity

Cites Work

• Remarks on the Kuramoto-Sivashinsky equation
• The mixing layer: deterministic models of a turbulent flow. Part 3. The effect of plane strain on the dynamics of streamwise vortices
• Unnamed Item
• Unnamed Item