On the initial-boundary value problem for a non-local elliptic-hyperbolic system related to the short pulse equation
From MaRDI portal
Publication:2108995
DOI10.1007/s42985-022-00208-wzbMath1504.35141OpenAlexW4309487999WikidataQ115600179 ScholiaQ115600179MaRDI QIDQ2108995
Lorenzo di Ruvo, Giuseppe Maria Coclite
Publication date: 20 December 2022
Published in: SN Partial Differential Equations and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s42985-022-00208-w
Stability in context of PDEs (35B35) Hyperbolic conservation laws (35L65) Initial-boundary value problems for systems of nonlinear higher-order PDEs (35G61)
Related Items
Cites Work
- On the well-posedness of the exp-Rabelo equation
- Well-posedness and finite volume approximations of the LWR traffic flow model with non-local velocity
- Existence and uniqueness of measure solutions for a system of continuity equations with non-local flow
- Rigorous justification of the short-pulse equation
- Short pulse equations and localized structures in frequency band gaps of nonlinear metamaterials
- Oleinik type estimates for the Ostrovsky-Hunter equation
- Well-posedness results for the short pulse equation
- Wellposedness of bounded solutions of the non-homogeneous initial boundary for the short pulse equation
- Well-posedness of the Ostrovsky-Hunter equation under the combined effects of dissipation and short-wave dispersion
- A convergent finite difference scheme for the Ostrovsky-Hunter equation on a bounded domain
- A singular limit problem for conservation laws related to the Rosenau-Korteweg-de Vries equation
- Well-posedness and small data scattering for the generalized Ostrovsky equation
- Continuity properties of the solution map for the generalized reduced Ostrovsky equation
- \(L^1\)-stability of constants in a model for radiating gases
- A note on the non-homogeneous initial boundary problem for an Ostrovsky-Hunter type equation
- Wave breaking in the short-pulse equation
- Dispersive and diffusive limits for Ostrovsky-Hunter type equations
- Functional analysis, Sobolev spaces and partial differential equations
- Well-posedness and dispersive/diffusive limit of a generalized Ostrovsky-Hunter equation
- Global well-posedness and relaxation limits of a model for radiating gas.
- Propagation of ultra-short optical pulses in cubic nonlinear media
- Nonlocal crowd dynamics models for several populations
- Existence, uniqueness and regularity results on nonlocal balance laws
- Singular limits with vanishing viscosity for nonlocal conservation laws
- Discontinuous solutions for the short-pulse master mode-locking equation
- On the solutions for an Ostrovsky type equation
- A convergent finite difference scheme for the Ostrovsky-Hunter equation with Dirichlet boundary conditions
- Erosion profile by a global model for granular flow
- A non-local elliptic-hyperbolic system related to the short pulse equation
- Discontinuous solutions for the generalized short pulse equation
- Non-local multi-class traffic flow models
- Well-posedness for a slow erosion model
- Convergence of vanishing capillarity approximations for scalar conservation laws with discontinuous fluxes
- Convergence of the Ostrovsky equation to the Ostrovsky-Hunter one
- On transformations of the Rabelo equations
- Wellposedness for a parabolic-elliptic system
- Well-posedness of a conservation law with non-local flux arising in traffic flow modeling
- Studies of Existence and Stability of Circularly Polarized Few-Cycle Solitons Beyond the Slowly-Varying Envelope Approximation
- Some Wellposedness Results for the Ostrovsky–Hunter Equation
- A CLASS OF NONLOCAL MODELS FOR PEDESTRIAN TRAFFIC
- AN INTEGRO-DIFFERENTIAL CONSERVATION LAW ARISING IN A MODEL OF GRANULAR FLOW
- Well-posedness of bounded solutions of the non-homogeneous initial-boundary value problem for the Ostrovsky–Hunter equation
- On nonlocal conservation laws modelling sedimentation
- On Equations Which Describe Pseudospherical Surfaces
- Bäcklund Transformations and Inverse Scattering Solutions for Some Pseudospherical Surface Equations
- Global Well-Posedness of the Short-Pulse and Sine–Gordon Equations in Energy Space
- Convergence of solution to nonlinear dispersive equations
- Conservation laws with vanishing nonlinear diffusion and dispersion11This work was partially carried out during a visit of the first author to the Istituto per le Applicazioni del Calcolo.
- Well‐posedness and scattering results for the generalized korteweg‐de vries equation via the contraction principle
- Nonlocal Scalar Conservation Laws on Bounded Domains and Applications in Traffic Flow
- Global entropy weak solutions for general non-local traffic flow models with anisotropic kernel
- Convergence of the regularized short pulse equation to the short pulse one
- The initial-boundary-value problem for an Ostrovsky–Hunter type equation
- Sharp global well-posedness for KdV and modified KdV on ℝ and 𝕋
- Solitary Waves of the Regularized Short Pulse and Ostrovsky Equations
- CONVERGENCE OF THE SOLUTIONS ON THE GENERALIZED KORTEWEG–DE VRIES EQUATION∗
- Nonlocal Systems of Conservation Laws in Several Space Dimensions
- A general result on the approximation of local conservation laws by nonlocal conservation laws: the singular limit problem for exponential kernels
- Unnamed Item
- Unnamed Item
- Unnamed Item
