Cover Image

The Westervelt--Pennes--Cattaneo model: local well-posedness and singular limit for vanishing relaxation time

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Benabbas, Imen, Said-Houari, Belkacem
Format:	Preprint
Published:	2023
Subjects:	Analysis of PDEs
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Global existence and asymptotic behavior of the Westervelt--hyperbolic Pennes system
by: Benabbas, Imen, et al.
Published: (2024)

Local well-posedness of a coupled Jordan-Moore-Gibson-Thompson-Pennes model of nonlinear ultrasonic heating
by: Benabbas, Imen, et al.
Published: (2024)

Westervelt-based modeling of ultrasound-enhanced drug delivery
by: Careaga, Julio, et al.
Published: (2024)

Optimal Neumann boundary and distributed control of the Westervelt equation with time-fractional attenuation
by: Nikolić, Vanja, et al.
Published: (2025)

Well-posedness and global extensibility criteria for time-fractionally damped Jordan--Moore--Gibson--Thompson equation
by: Meliani, Mostafa, et al.
Published: (2024)

Global unique solutions to the planar inhomogeneous Navier--Stokes--Maxwell equations
by: Arsénio, Diogo, et al.
Published: (2024)

Global well-posedness and uniform-in-time vanishing damping limit for the inviscid Oldroyd-B model
by: Cheng, Xinyu, et al.
Published: (2024)

Global existence for a fractionally damped nonlinear Jordan--Moore--Gibson--Thompson equation
by: Meliani, Mostafa, et al.
Published: (2025)

Energy decay of some multi-term nonlocal-in-time Moore--Gibson--Thompson equations
by: Meliani, Mostafa, et al.
Published: (2023)

Nonlocal Generalized Aw-Rascle-Zhang model: well-posedness and singular limit
by: Marconi, Elio, et al.
Published: (2025)

Global well-posedness and relaxation for solutions of the Fokker-Planck-Alignment equations
by: Shvydkoy, R.
Published: (2024)

Non-local traffic flow models with time delay: well-posedness and numerical approximation
by: Ciaramaglia, Ilaria, et al.
Published: (2024)

The local well-posedness, global existence and ill-posedness for the fifth order Camassa-Holm model
by: Chen, Xiaoxin, et al.
Published: (2025)

Improved well-posedness for quasilinear and sharp local well-posedness for semilinear KP-I equations
by: Kinoshita, Shinya, et al.
Published: (2024)

Global well-posedness and large time behavior for the Oldroyd-B model
by: Shang, Haifeng
Published: (2024)

Remark on the local well-posedness for NLS with the modulated dispersion
by: Tanaka, Tomoyuki
Published: (2024)

On the equations of compressible fluid dynamics with Cattaneo-type extensions for the heat flux: Symmetrizability and relaxation structure
by: Angeles, Felipe
Published: (2024)

Global well-posedness of the 4-d energy-critical stochastic nonlinear Schrödinger equations with non-vanishing boundary condition
by: Cheung, Kelvin, et al.
Published: (2019)

Strong well-posedness of a singular SDE for signed Coulomb particles
by: van Meurs, Patrick, et al.
Published: (2026)

Sharp local well-posedness of $C^1$ vortex patches
by: Lee, Seungjae
Published: (2025)

Improved well-posedness for the limit flow of differentiation of roots of polynomials
by: Bertucci, Charles, et al.
Published: (2026)

The well-posedness and blow up phenomenon for a Tsunamis model with time-fractional derivative
by: Dai, Bingbing, et al.
Published: (2024)

On well-posedness of time-harmonic problems in an unbounded strip for a thin plate model
by: Bourgeois, Laurent, et al.
Published: (2018)

On the well-posedness of the initial value problem for the MMT model
by: Panthee, Mahendra, et al.
Published: (2026)

Weak well-posedness of energy solutions to singular SDEs with supercritical distributional drift
by: Gräfner, Lukas, et al.
Published: (2024)

On local well-posedness of the stochastic incompressible density-dependent Euler equations
by: Espitia, Claudia, et al.
Published: (2024)

On local well-posedness for the nonlinear Schrödinger equation with general power nonlinearity
by: Arens, Lucia, et al.
Published: (2025)

Sharp local well-posedness for the Schrödinger-Korteweg-de Vries system
by: Correia, Simão, et al.
Published: (2024)

On well-posedness of the space-time fractional nonlinear Schrödinger equation
by: He, Mingxuan, et al.
Published: (2023)

Global well-posedness and relaxation limit for relaxed compressible Navier-Stokes-Fourier equations in bounded domain
by: Hu, Yuxi, et al.
Published: (2025)

The relaxation limit of bipolar fluid models
by: Alves, Nuno J., et al.
Published: (2020)

The global well-posedness and Newtonian limit for the relativistic Boltzmann equation in a periodic box
by: Cao, Chuqi, et al.
Published: (2024)

Sharp well-posedness and ill-posedness results for the inhomogeneous NLS equation
by: Campos, Luccas, et al.
Published: (2022)

Sharp well-posedness and ill-posedness of the stationary quasi-geostrophic equation
by: Fujii, Mikihiro, et al.
Published: (2025)

The local well-posedness, blow-up phenomena and ill-posedness of a new fifth-order Camassa-Holm type equation
by: Lian, Yiyao, et al.
Published: (2025)

Existence, uniqueness, and numerical solutions of the nonlinear periodic Westervelt equation
by: Rainer, Benjamin, et al.
Published: (2024)

$L^{p}$-estimates, local well-posedness and controllability for linear and semilinear backward SPDEs
by: Hernández-Santamaría, Víctor, et al.
Published: (2024)

Derivation and local well-posedness of a relativistic quantum hydrodynamic system on the Heisenberg group
by: Duan, Ben, et al.
Published: (2026)

On the well-posedness of time-space fractional Schrödinger equation on $\mathbb{R}^{d}$
by: Yang, Yong Zhen, et al.
Published: (2025)

Global well-posedness and large time behavior of solutions to the compressible Oldroyd-B model without stress diffusion
by: Zhao, Yajuan, et al.
Published: (2024)