Global solutions to the tangential Peskin problem in 2-D
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Publication:6141706
DOI10.1088/1361-6544/ad0c44zbMath1529.35562arXiv2205.14723MaRDI QIDQ6141706
Publication date: 20 December 2023
Published in: Nonlinearity (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2205.14723
Existence problems for PDEs: global existence, local existence, non-existence (35A01) Weak solutions to PDEs (35D30) PDEs in connection with mechanics of deformable solids (35Q74) Fractional partial differential equations (35R11) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
Cites Work
- Unnamed Item
- Unnamed Item
- Regularity of solutions of the fractional porous medium flow
- Finite time singularities in a 1D model of the quasi-geostrophic equation
- Nonlinear diffusion of dislocation density and self-similar solutions
- Nonlinear porous medium flow with fractional potential pressure
- On a 1D nonlocal transport equation with nonlocal velocity and subcritical or supercritical diffusion
- On a one-dimensional model for the three-dimensional vorticity equation
- A maximum principle for the Muskat problem for fluids with different densities
- Global well-posedness for the critical 2D dissipative quasi-geostrophic equation
- Remarks on Gagliardo-Nirenberg type inequality with critical Sobolev space and BMO
- Global existence, singularities and ill-posedness for a nonlocal flux
- Well-posedness for a transport equation with nonlocal velocity
- Drift diffusion equations with fractional diffusion and the quasi-geostrophic equation
- Further properties of a continuum of model equations with globally defined flux
- On the hydrodynamic limit of Ginzburg-Landau vortices.
- Global regularity for the fractional Euler alignment system
- On the de Gregorio modification of the Constantin-Lax-Majda model
- Analytic structure of two 1D-transport equations with nonlocal fluxes
- Infinite energy solutions of the surface quasi-geostrophic equation
- Stability of the Stokes immersed boundary problem with bending and stretching energy
- On the Constantin-Lax-Majda model with convection
- Eulerian dynamics with a commutator forcing. III: Fractional diffusion of order \(0 < \alpha < 1\)
- On a nonlocal differential equation describing roots of polynomials under differentiation
- On the dynamics of the roots of polynomials under differentiation
- The flow of polynomial roots under differentiation
- Singularity formation for a fluid mechanics model with nonlocal velocity
- On the effects of advection and vortex stretching
- Dissipative quasi-geostrophic equations in critical Sobolev spaces: smoothing effect and global well-posedness
- Asymptotic behaviour of a porous medium equation with fractional diffusion
- Blow-up of solutions for a 1D transport equation with nonlocal velocity and supercritical dissipation
- Formation of singularities for a transport equation with nonlocal velocity
- Flow patterns around heart valves: A numerical method
- On the critical dissipative quasi-geostrophic equation
- On a transport equation with nonlocal drift
- Regularity of solutions of the fractional porous medium flow with exponent $1/2$
- The immersed boundary method
- On a generalization of the Constantin–Lax–Majda equation
- Eulerian dynamics with a commutator forcing
- Solvability of the Stokes Immersed Boundary Problem in Two Dimensions
- A Partial Differential Equation Arising in a 1D Model for the 3D Vorticity Equation
- On the Optimum Rate of Transmitting Information
- Regularized Stokes Immersed Boundary Problems in Two Dimensions: <scp>Well‐Posedness</scp>, Singular Limit, and Error Estimates
- On the Finite Time Blowup of the De Gregorio Model for the 3D Euler Equations
- Global Regularity for a Nonlocal PDE Describing Evolution of Polynomial Roots Under Differentiation
- A nonlocal transport equation describing roots of polynomials under differentiation
- Well‐Posedness and Global Behavior of the Peskin Problem of an Immersed Elastic Filament in Stokes Flow
- The structure of singularities in nonlocal transport equations
- Fractional free convolution powers
- Optimal Transport
- Global existence in the Lipschitz class for the N-Peskin problem
- Free Convolution Powers Via Roots of Polynomials
- The Peskin Problem with \({\boldsymbol{\dot B^1_{\infty,\infty }}}\) Initial Data
- On self-similar finite-time blowups of the De Gregorio model on the real line
- Critical local well‐posedness for the fully nonlinear Peskin problem
- The Peskin problem with viscosity contrast
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