Blow up dynamics for the hyperbolic vanishing mean curvature flow of surfaces asymptotic to the Simons cone
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Publication:824416
DOI10.4171/JEMS/1087zbMath1490.53106arXiv1902.07027WikidataQ115481591 ScholiaQ115481591MaRDI QIDQ824416
Hajer Bahouri, Alaa Marachli, Galina Perelman
Publication date: 15 December 2021
Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1902.07027
Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Non-Euclidean differential geometry (53A35) Flows related to mean curvature (53E10)
Related Items
Global, non-scattering solutions to the energy critical wave maps equation ⋮ Global stability dynamics of the timelike extremal hypersurfaces in Minkowski space ⋮ Formation of singularities in nonlinear dispersive PDEs ⋮ Blow-up dynamics for the hyperbolic vanishing mean curvature flow of surfaces asymptotic to a Simons cone
Cites Work
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- Codimension one stability of the catenoid under the vanishing mean curvature flow in Minkowski space
- Type II blow up for the energy supercritical NLS
- Construction of type II blow-up solutions for the energy-critical wave equation in dimension 5
- On stability of the catenoid under vanishing mean curvature flow on Minkowski space
- Blowup dynamics for smooth data equivariant solutions to the critical Schrödinger map problem
- Stable blow up dynamics for the critical co-rotational wave maps and equivariant Yang-Mills problems
- Elementary proof of Bernstein's theorem on minimal surfaces
- On the formation of singularities in the critical \(O(3)\) \(\sigma \)-model
- Slow blow-up solutions for the \(H^1(\mathbb R^3)\) critical focusing semilinear wave equation
- Renormalization and blow up for the critical Yang-Mills problem
- Minimal hypersurfaces asymptotic to quadratic cones in \({\mathbb{R}}^{n+1}\)
- Lectures on nonlinear hyperbolic differential equations
- Smooth type II blow-up solutions to the four-dimensional energy-critical wave equation
- A short proof of the minimality of Simons cone
- Full range of blow up exponents for the quintic wave equation in three dimensions
- Renormalization and blow up for charge one equivariant critical wave maps
- Blow up dynamics for equivariant critical Schrödinger maps
- Some interior regularity theorems for minimal surfaces and an extension of Bernstein's theorem
- Minimal varieties in Riemannian manifolds
- Minimal cones and the Bernstein problem
- MINIMAL HYPERSURFACES ASYMPTOTIC TO SIMONS CONES
- Fourier Analysis and Nonlinear Partial Differential Equations
- Blow-up of solutions of nonlinear wave equations in three space dimensions
- A remark on global existence for small initial data of the minimal surface equation in Minkowskian space time
- Type II Blow up Manifolds for the Energy Supercritical Semilinear Wave Equation
- Hypersurfaces in Minkowski space with vanishing mean curvature
- On stability of type II blow up for the critical nonlinear wave equation on ℝ³⁺¹
- Instability of type II blow up for the quintic nonlinear wave equation on $R^3+1$