Dispersive stabilization for phase transitions

DOI10.2140/paa.2021.3.765zbMath1490.35258arXiv2102.01457OpenAlexW4212913537MaRDI QIDQ2668156

Benjamin Texier, Federico Cacciafesta, Marta Strani

Publication date: 3 March 2022

Published in: Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2102.01457

zbMATH Keywords

Euler equationsdispersive regularizationvan der Waals pressure

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Euler equations (35Q31)

Cites Work

• On hyperbolicity and Gevrey well-posedness. II: Scalar or degenerate transitions
• Nash-Moser iteration and singular perturbations
• Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations. I: Schrödinger equations
• The onset of instability in first-order systems
• Connectivity of generating graphs of nilpotent groups
• A surjection theorem for maps with singular perturbation and loss of derivatives
• A Nash-Moser-Hörmander implicit function theorem with applications to control and Cauchy problems for PDEs
• Instability of the Cauchy-Kovalevskaya solution for a class of nonlinear systems
• Dispersive stabilization
• Strichartz inequalities and the nonlinear Schrodinger equation on compact manifolds
• On hyperbolicity and Gevrey well-posedness. Part three: a model of weakly hyperbolic systems
• Time-Delayed Instabilities in Complex Burgers Equations

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