Well-posedness of evolution equations with time-dependent nonlinear mobility: a modified minimizing movement scheme
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Publication:2328145
DOI10.1515/acv-2016-0020zbMath1422.35105arXiv1604.07694OpenAlexW2964136991MaRDI QIDQ2328145
Publication date: 9 October 2019
Published in: Advances in Calculus of Variations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1604.07694
gradient flownonautonomous equationminimizing movement schememodified Wasserstein distancenonlinear mobility
Variational methods applied to PDEs (35A15) Weak solutions to PDEs (35D30) Initial value problems for higher-order parabolic equations (35K30)
Cites Work
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- High-frequency limit of non-autonomous gradient flows of functionals with time-periodic forcing
- Existence of weak solutions to a class of fourth order partial differential equations with Wasserstein gradient structure
- Existence of solutions for a nonlinear system of parabolic equations with gradient flow structure
- Cahn-Hilliard and thin film equations with nonlinear mobility as gradient flows in weighted-Wasserstein metrics
- The gradient flow of a generalized Fisher information functional with respect to modified Wasserstein distances
- Gradient flows of time-dependent functionals in metric spaces and applications to PDEs
- Nonlinear mobility continuity equations and generalized displacement convexity
- On a class of modified Wasserstein distances induced by concave mobility functions defined on bounded intervals
- A new class of transport distances between measures
- The Wasserstein gradient flow of the Fisher information and the quantum drift-diffusion equation
- A convexity principle for interacting gases
- Variational principle for general diffusion problems
- Nonlinear semigroups and the existence and stability of solutions to semilinear nonautonomous evolution equations
- Scalar conservation laws on constant and time-dependent Riemannian manifolds
- A gradient flow approach to a thin film approximation of the Muskat problem
- A computational fluid mechanics solution to the Monge-Kantorovich mass transfer problem
- THE GEOMETRY OF DISSIPATIVE EVOLUTION EQUATIONS: THE POROUS MEDIUM EQUATION
- A hybrid variational principle for the Keller–Segel system in ℝ2
- Eulerian Calculus for the Displacement Convexity in the Wasserstein Distance
- A Family of Nonlinear Fourth Order Equations of Gradient Flow Type
- The Variational Formulation of the Fokker--Planck Equation
- Nonlinear diffusion equations with variable coefficients as gradient flows in Wasserstein spaces
- A QUALITATIVE STUDY OF LINEAR DRIFT-DIFFUSION EQUATIONS WITH TIME-DEPENDENT OR DEGENERATE COEFFICIENTS
- Gradient structures and geodesic convexity for reaction–diffusion systems
- Transport distances and geodesic convexity for systems of degenerate diffusion equations
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