AN INEQUALITY BY GIANAZZA, SAVARÉ AND TOSCANI AND ITS APPLICATIONS TO THE VISCOUS QUANTUM EULER MODEL

DOI10.1142/S0219199712500678zbMath1277.35335OpenAlexW1994285548MaRDI QIDQ2859240

Xiangsheng Xu

Publication date: 7 November 2013

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219199712500678

zbMATH Keywords

existencequantum fluidscoercivity inequality

Mathematics Subject Classification ID

Maximum principles in context of PDEs (35B50) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Partial differential equations of mathematical physics and other areas of application (35Q99)

Related Items (4)

Existence Theorems for a Crystal Surface Model Involving the $p$-Laplace Operator ⋮ Strong solutions to a fourth order exponential PDE describing epitaxial growth ⋮ Existence and semiclassical limit for the quantum drift-diffusion model ⋮ Existence Theorems for a Multidimensional Crystal Surface Model

Cites Work

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• A remark on weak solutions to the barotropic compressible quantum Navier-Stokes equations
• A note on barotropic compressible quantum Navier-Stokes equations
• Global existence of solutions to one-dimensional viscous quantum hydrodynamic equations
• The Wasserstein gradient flow of the Fisher information and the quantum drift-diffusion equation
• Compact sets in the space \(L^ p(0,T;B)\)
• The Derrida–Lebowitz–Speer–Spohn Equation: Existence, NonUniqueness, and Decay Rates of the Solutions
• Elliptic Partial Differential Equations of Second Order
• THE VISCOUS MODEL OF QUANTUM HYDRODYNAMICS IN SEVERAL DIMENSIONS
• Global Weak Solutions to Compressible Navier–Stokes Equations for Quantum Fluids

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