Asymptotic behaviors of solutions to evolution equations in the presence of translation and scaling invariance
DOI10.1016/j.jfa.2011.02.004zbMath1250.47087OpenAlexW2086864088MaRDI QIDQ664725
Yasunori Maekawa, Yoshiyuki Kagei
Publication date: 2 March 2012
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: http://hdl.handle.net/2324/15434
Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) PDEs in connection with fluid mechanics (35Q35) Applications of operator theory to differential and integral equations (47N20) Nonlinear evolution equations (47J35) Self-similar solutions to PDEs (35C06)
Related Items (3)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Spectral properties of the linearization at the Burgers vortex in the high rotation limit
- Invariant manifolds and the long-time asymptotics of the Navier-Stokes and vorticity equations on \(\mathbb R^2\)
- On asymptotic behaviors of solutions to parabolic systems modelling chemotaxis
- Nonlinear partial differential equations. Asymptotic behavior of solutions and self-similar solutions
- Convergence to diffusion waves of solutions for viscous conservation laws
- Large time behavior of the vorticity two-dimensional viscous flow and its application to vortex formation
- Large time behavior for convection-diffusion equations in \(\mathbb{R}{} ^ N\)
- Perturbation theory for linear operators.
- Asymptotic behavior of solutions to the viscous Burgers equation
- Global stability of vortex solutions of the two-dimensional Navier-Stokes equation
- Large time behavior of bounded solutions to a parabolic system of chemotaxis in the whole space
- Existence and stability of asymmetric Burgers vortices
- Invariant Manifolds and Long-Time Asymptotics for the Vlasov--Poisson--Fokker--Planck Equation
- Self-Similar Solutions of a Convection Diffusion Equation And Related Semilinear Elliptic Problems
- Rates of Convergence to Self-Similar Solutions of Burgers' Equation
- Global existence of smooth solutions for the Vlasov-Fokker-Planck equation in $1$ and $2$ space dimensions
- Variational problems related to self-similar solutions of the heat equation
- One-Parameter Semigroups for Linear Evolution Equations
- Asymptotic behavior for the vorticity equations in dimensions two and three
- Self‐similar Asymptotics for Linear and Nonlinear Diffusion Equations
- Analytic semigroups and optimal regularity in parabolic problems
This page was built for publication: Asymptotic behaviors of solutions to evolution equations in the presence of translation and scaling invariance
