Existence and regularity of solution of the liquid \({}^4 \mathrm{He}\) model coupling with an applied magnetic field
DOI10.1007/s10255-022-1091-7OpenAlexW4226345423MaRDI QIDQ2125664
Publication date: 14 April 2022
Published in: Acta Mathematicae Applicatae Sinica. English Series (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10255-022-1091-7
Smoothness and regularity of solutions to PDEs (35B65) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Fractional derivatives and integrals (26A33) Statistical mechanics of superconductors (82D55) PDEs in connection with quantum mechanics (35Q40) Statistical mechanics of superfluids (82D50) Atomic physics (81V45) Quantum dynamics and nonequilibrium statistical mechanics (general) (82C10) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Weak solutions to PDEs (35D30) Statistical mechanics of magnetic materials (82D40) Dynamic and nonequilibrium phase transitions (general) in statistical mechanics (82C26) Fractional partial differential equations (35R11) Ginzburg-Landau equations (35Q56) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) PDEs in connection with statistical mechanics (35Q82) Classical solutions to PDEs (35A09)
Cites Work
- Unnamed Item
- Existence and regularity of solutions to models for liquid mixture of \(^3\text{He}\)-\(^4\text{He}\)
- Bifurcation and stability of the generalized complex Ginzburg-Landau equation
- Global attractor of the Cahn-Hilliard equation in \(H^k\) spaces
- Semigroups of linear operators and applications to partial differential equations
- Elliptic partial differential equations of second order
- Bifurcation for model of the \({}^3\)HE-\({}^4\)HE liquid mixture
- Attractor bifurcation and phase transition for liquid \(^4\)He
- Time dependent Ginzburg-Landau equations of superconductivity
- Global attractors of the \({^{3}\mathrm{He}}\)-\({^{4}\mathrm{He}}\) system in \(H_{\alpha}\) spaces
- Phase Transition Dynamics
- Dynamic phase transition theory in PVT systems
- Low-dimensional behaviour in the complex Ginzburg-Landau equation
- Shorter Notes: Strongly Continuous Semigroups, Weak Solutions, and the Variation of Constants Formula
- Ginzburg-Landau dynamics with a time-dependent magnetic field
- Phase Transition Dynamics
- Dynamic phase transitions for ferromagnetic systems
- Dynamic model and phase transitions for liquid helium