Stable manifolds for a class of singular evolution equations and exponential decay of kinetic shocks
From MaRDI portal
Publication:1728001
DOI10.3934/krm.2019001OpenAlexW2963161256MaRDI QIDQ1728001
Publication date: 21 February 2019
Published in: Kinetic and Related Models (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1607.03028
Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Nonlinear ill-posed problems (47J06) Nonlinear evolution equations (47J35)
Related Items
Reverse norms and \(L^{\infty}\) exponential decay for a class of degenerate evolution systems arising in kinetic theory ⋮ Instantaneous smoothing and exponential decay of solutions for a degenerate evolution equation with application to Boltzmann's equation ⋮ \(L^\infty\) resolvent bounds for steady Boltzmann's equation
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Invariant manifolds for steady Boltzmann flows and applications
- Layers in the presence of conservation laws
- \(L^\infty\) resolvent bounds for steady Boltzmann's equation
- Instability of spikes in the presence of conservation laws
- Nash-Moser iteration and singular perturbations
- Shock profile solutions of the Boltzmann equation
- Existence of semilinear relaxation shocks
- Relative morse indices, Fredholm indices, and group velocities
- The dichotomy theorem for evolution bi-families
- Stability of radiative shock profiles for hyperbolic-elliptic coupled systems
- Existence and sharp localization in velocity of small-amplitude Boltzmann shocks
- Conditional stability of unstable viscous shocks
- Wiener-Hopf factorization, inverse Fourier transforms and exponentially dichotomous operators
- The Boltzmann equation and its applications
- On the shock structure problem for hyperbolic system of balance laws and convex entropy
- The Fredholm alternative for functional-differential equations of mixed type
- Exponential dichotomies for solitary-wave solutions of semilinear elliptic equations on infinite cylinders
- Pointwise Green function bounds for shock profiles of systems with real viscosity
- Boltzmann equation: micro-macro decompositions and positivity of shock profiles
- Ordinary differential operators in Hilbert spaces and Fredholm pairs
- Center manifolds for a class of degenerate evolution equations and existence of small-amplitude kinetic shocks
- Stability of large-amplitude viscous shock profiles of hyperbolic-parabolic systems
- The infinite dimensional Evans function
- Existence of quasilinear relaxation shock profiles in systems with characteristic velocities
- Existence of traveling-wave solutions for hyperbolic systems of balance laws
- Viscous profiles of traveling waves in scalar balance laws: the canard case
- On the Structure of Spectra of Modulated Travelling Waves
- Stability and Dynamics of Viscous Shock Waves
- Stability of Scalar Radiative Shock Profiles
- Spectral Stability of Weak Relaxation Shock Profiles
- Pointwise semigroup methods and stability of viscous shock waves
- Hyperbolic conservation laws with stiff relaxation terms and entropy
- Pointwise Green's function bounds and stability of relaxation shocks
- Viscous and inviscid stability of multidimensional planar shock fronts
- Morse homology on Hilbert spaces
- The Spectral Flow and the Maslov Index
- Stability of Large-Amplitude Shock Profiles of General Relaxation Systems