Time-weighted estimates for the Blackstock equation in nonlinear ultrasonics
DOI10.1007/s00028-023-00909-8zbMath1529.35403arXiv2210.08341MaRDI QIDQ6174666
Vanja Nikolić, Belkacem Said-Houari
Publication date: 17 August 2023
Published in: Journal of Evolution Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2210.08341
Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Hydro- and aero-acoustics (76Q05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Hypersonic flows (76K05) PDEs in connection with classical thermodynamics and heat transfer (35Q79) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Waves in compressible fluids (76N30)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Mathematics of nonlinear acoustics
- On quasilinear parabolic evolution equations in weighted \(L_{p}\)-spaces
- Optimal regularity and long-time behavior of solutions for the Westervelt equation
- Global existence and exponential decay rates for the Westervelt equation
- Global existence and exponential stability of small solutions to nonlinear viscoelasticity
- The global existence of small amplitude solutions to the nonlinear acoustic wave equation
- Vanishing relaxation time dynamics of the Jordan Moore-Gibson-Thompson equation arising in nonlinear acoustics
- Acoustic traveling waves in thermoviscous perfect gases: kinks, acceleration waves, and shocks under the Taylor-Lighthill balance
- Global well-posedness and exponential stability for Kuznetsov's equation in \(L_p\)-spaces
- Local existence and uniqueness of strong solutions to the Navier-Stokes equations with nonnegative density
- Moving Interfaces and Quasilinear Parabolic Evolution Equations
- New Maximal Regularity Results for the Heat Equation in Exterior Domains, and Applications
- Global Unique Solvability of Inhomogeneous Navier-Stokes Equations with Bounded Density
- Maximal regularity with temporal weights for parabolic problems with inhomogeneous boundary conditions
- Well-posedness and Exponential Decay for the Westervelt Equation with Inhomogeneous Dirichlet Boundary Data
- An analysis of nonhomogeneous Kuznetsov's equation: Local and global well-posedness; exponential decay
- Well-posedness and numerical treatment of the Blackstock equation in nonlinear acoustics
- Parabolic Approximation of Quasilinear Wave Equations with Applications in Nonlinear Acoustics
- Global unique solvability of inhomogeneous incompressible Navier–Stokes equations with nonnegative density
- The Incompressible Navier‐Stokes Equations in Vacuum
- Modeling weakly nonlinear acoustic wave propagation
- The structure of a weak shock wave undergoing reflexion from a wall
- Finite-Element Methods for a Strongly Damped Wave Equation
- Analytic semigroups and optimal regularity in parabolic problems
- Maximal regularity in continuous interpolation spaces and quasilinear parabolic equations
This page was built for publication: Time-weighted estimates for the Blackstock equation in nonlinear ultrasonics
