On the existence of solutions to a general mean field equation of nonlinear diffusion with the Newtonian potential pressure
DOI10.1007/s13398-023-01395-wzbMath1504.26033OpenAlexW4319082786MaRDI QIDQ2681740
Publication date: 6 February 2023
Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s13398-023-01395-w
Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Inequalities involving derivatives and differential and integral operators (26D10) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Regularity of solutions of the fractional porous medium flow
- Gradient flow of the Chapman-Rubinstein-Schatzman model for signed vortices
- Nonlinear porous medium flow with fractional potential pressure
- Energy and large time estimates for nonlinear porous medium flow with nonlocal pressure in \(\mathbb{R}^N\)
- Vortices in the magnetic Ginzburg-Landau model
- Uniqueness of the solution to the Vlasov--Poisson system with bounded density
- Finite and infinite speed of propagation for porous medium equations with nonlocal pressure
- Partial differential equations. III: Nonlinear equations.
- On the existence and uniqueness of solutions to an asymptotic equation of a variational wave equation
- On the hydrodynamic limit of Ginzburg-Landau vortices.
- Existence of weak solutions for a general porous medium equation with nonlocal pressure
- Vortex formation for a non-local interaction model with Newtonian repulsion and superlinear mobility
- The nonlocal porous medium equation: Barenblatt profiles and other weak solutions
- A mean field equation as limit of nonlinear diffusions with fractional Laplacian operators
- A fast regularisation of a Newtonian vortex equation
- Vorticity and Incompressible Flow
- AGGREGATION AND SPREADING VIA THE NEWTONIAN POTENTIAL: THE DYNAMICS OF PATCH SOLUTIONS
- A gradient flow approach to an evolution problem arising in superconductivity
- Existence of Weak Solutions to Some Vortex Density Models
- A mean-field model of superconducting vortices
- Flows and functional inequalities for fractional operators
This page was built for publication: On the existence of solutions to a general mean field equation of nonlinear diffusion with the Newtonian potential pressure
