On the crest factor for dissipative partial differential equations
From MaRDI portal
Publication:5160773
DOI10.1098/rspa.2019.0322zbMath1472.35223OpenAlexW2971381027MaRDI QIDQ5160773
Publication date: 29 October 2021
Published in: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1098/rspa.2019.0322
differential equationsanalysismathematical physicsbest constantsinterpolation inequalitiesdissipative partial differential equationscrest factoranalysis of solutions
Asymptotic behavior of solutions to PDEs (35B40) Higher-order parabolic equations (35K25) Semilinear parabolic equations (35K58)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Sharp constants for the \(L^{\infty }\)-norm on the torus and applications to dissipative partial differential equations.
- Relations between energy and enstrophy on the global attractor of the 2-D Navier-Stokes equations
- Sharp estimates for the number of degrees of freedom for the damped-driven 2-D Navier-Stokes equations
- Infinite-dimensional dynamical systems in mechanics and physics.
- Chaotic spatial patterns described by the extended Fisher-Kolmogorov equation
- Explicit estimates on the torus for the sup-norm and the dissipative length scale of solutions of the Swift-Hohenberg equation in one and two space dimensions
- Explicit estimates on the torus for the sup-norm and the crest factor of solutions of the modified Kuramoto-Sivashinky equation in one and two space dimensions
- On the nature of space fluctuations of solutions of dissipative partial differential equations
- Sharp constants in the Sobolev embedding theorem and a derivation of the Brezis-Gallouet interpolation inequality
- Asymptotic expansions and extremals for the critical Sobolev and Gagliardo–Nirenberg inequalities on a torus
- Stability Analysis for a Class of Partial Differential Equations via Semidefinite Programming
- Length scales in solutions of the Navier-Stokes equations
- Nonlinear analysis of hydrodynamic instability in laminar flames—I. Derivation of basic equations
- Positivity and the attractor dimension in a fourth-order reaction-diffusion equation
- Best Constants in Multiplicative Inequalities for Sup-Norms
- A framework for input–output analysis of wall-bounded shear flows
- A Convex Sum-of-Squares Approach to Analysis, State Feedback and Output Feedback Control of Parabolic PDEs
- Growth, decay and bifurcation of shock amplitudes under the type-II flux law
- Bounds for Deterministic and Stochastic Dynamical Systems using Sum-of-Squares Optimization
This page was built for publication: On the crest factor for dissipative partial differential equations