Nonuniform dependence on the initial data for solutions of conservation laws
DOI10.1007/s42967-023-00267-9MaRDI QIDQ6537192
Barbara Lee Keyfitz, John M. Holmes
Publication date: 14 May 2024
Published in: Communications on Applied Mathematics and Computation (Search for Journal in Brave)
Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Hyperbolic conservation laws (35L65) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Continuity and differentiation questions (26B05) Initial value problems for first-order hyperbolic systems (35L45) Initial value problems for first-order hyperbolic equations (35L03)
Cites Work
- Title not available (Why is that?)
- Non-uniform dependence on initial data for the CH equation on the line.
- Non-uniform dependence on initial data of solutions to the Euler equations of hydrodynamics
- The Cauchy problem for quasi-linear symmetric hyperbolic systems
- Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations. II: The KdV-equation
- Continuity of the data-to-solution map for the FORQ equation in Besov spaces.
- Non-uniform continuity of the Fokas-Olver-Rosenau-Qiao equation in Besov spaces
- Ill-posedness issues for the Benjamin-Ono and related equations
- Non-Uniform Dependence for the Periodic CH Equation
- TVB Runge-Kutta Local Projection Discontinuous Galerkin Finite Element Method for Conservation Laws II: General Framework
- GLOBAL WELL-POSEDNESS OF THE BENJAMIN–ONO EQUATION IN H1(R)
- Nonuniform Dependence on Initial Data for Compressible Gas Dynamics: The Cauchy Problem on $\mathbb{R}^2$
- An Analysis of the Discontinuous Galerkin Method for a Scalar Hyperbolic Equation
- Sharp global well-posedness for KdV and modified KdV on ℝ and 𝕋
- Non-uniform dependence on initial data for the 2D MHD-Boussinesq equations
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