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[1605.04822] Mixing solutions for the Muskat problem

May 16, 2016  Abstract:We prove the existence of mixing solutions of the incompressible porous media equation for all Muskat type $H^5$ initial data in the fully unstable regime. The proof combines convex integration, contour dynamics and a basic calculus for non smooth semiclassical type pseudodifferential operators which is developed. Submission history

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(PDF) Mixing solutions for the Muskat problem

Oct 01, 2021  we prove the existence of mixing solutions of the incompressible porous media equation for all muskat type h5\documentclass [12pt]

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Mixing solutions for the Muskat problem with variable

Dec 12, 2020  高达10%返现  We provide a quick proof of the existence of mixing weak solutions for the Muskat problem with variable mixing speed. Our proof is considerably shorter and extends previous results in Castro et al. (Mixing solutions for the Muskat problem, 2016, arXiv:1605.04822 ) and Förster and Székelyhidi (Comm Math Phys 363(3):1051–1080, 2018).

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[PDF] Mixing solutions for the Muskat problem Semantic Scholar

DOI: 10.1007/S00222-021-01045-1 Corpus ID: 119303915. Mixing solutions for the Muskat problem @article{Castro2016MixingSF, title={Mixing solutions for the Muskat problem}, author={{\'A}ngel Castro and Diego C'ordoba and Daniel Faraco}, journal={arXiv: Analysis of PDEs}, year={2016} }

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Mixing solutions for the Muskat problem with variable

May 18, 2020  [2005.08814] Mixing solutions for the Muskat problem with variable speed arXiv > math Mathematics > Analysis of PDEs [Submitted on 18 May 2020] Mixing solutions for the Muskat problem with variable speed Florent Noisette, László Székelyhidi Jr

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Mixing solutions for the Muskat problem with variable speed

May 18, 2020  We construct mixing solutions to the incompressible porous media equation starting from Muskat type data in the partially unstable regime. In particular, we consider bubble and turned type interfaces 2 PDF Eventual regularization for the 3D Muskat problem: Lipschitz for finite time implies global existence Stephen Cameron Mathematics 2020

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Mixing solutions for the Muskat problem - R Discovery

May 05, 2021  Article on Mixing solutions for the Muskat problem, published in Inventiones Mathematicae on 2021-05-05 by . Read the article Mixing solutions for the Muskat problem on R Discovery, your go-to avenue for effective literature search.

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Mixing solutions for the Muskat problem - arxiv-vanity

We prove the existence of mixing solutions of the incompressible porous media equation for all Muskat type H5 initial data in the fully unstable regime.

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Mixing solutions for the Muskat problem - NASA/ADS

adshelp[at]cfa.harvard The ADS is operated by the Smithsonian Astrophysical Observatory under NASA Cooperative Agreement NNX16AC86A

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[1605.04822] Mixing solutions for the Muskat problem

73 pages, 2 figures. This version includes the case of variable opening of the mixing zone and emphasizes the semiclassical analysis viewpoint: Subjects: Analysis of PDEs (math.AP) Cite as: arXiv:1605.04822 [math.AP] (or arXiv:1605.04822v2 [math.AP] for this version)

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Mixing solutions for the Muskat problem with variable speed

May 18, 2020  Title: Mixing solutions for the Muskat problem with variable speed. Authors: Florent Noisette, László Székelyhidi Jr. Download PDF Abstract: We provide a quick proof of the existence of mixing weak solutions for the Muskat problem with variable mixing speed. Our proof is considerably shorter and extends previous results in \cite{ccf:ipm} and ...

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Mixing solutions for the Muskat problem with variable speed

May 18, 2020  Request PDF Mixing solutions for the Muskat problem with variable speed We provide a quick proof of the existence of mixing weak solutions for the Muskat problem with variable mixing speed.

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PDF - Degraded mixing solutions for the Muskat problem

PDF - We prove the existence of infinitely many mixing solutions for the Muskat problem in the fully unstable regime displaying a linearly degraded macroscopic behaviour inside the mixing zone. In fact, we estimate the volume proportion of each fluid in every rectangle of the mixing zone. The proof is a refined version of the convex integration scheme submitted in De Lellis

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Mixing solutions for the Muskat problem with variable speed

DOI: 10.1007/s00028-020-00655-1 Corpus ID: 218674453. Mixing solutions for the Muskat problem with variable speed @article{Noisette2020MixingSF, title={Mixing solutions for the Muskat problem with variable speed}, author={Florent Noisette and L. Sz{\'e}kelyhidi}, journal={arXiv: Analysis of PDEs}, year={2020} }

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Mixing solutions for the Muskat problem - R Discovery

May 05, 2021  Article on Mixing solutions for the Muskat problem, published in Inventiones Mathematicae on 2021-05-05 by . Read the article Mixing solutions for the Muskat problem on R Discovery, your go-to avenue for effective literature search.

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Mixing solutions for the Muskat problem - arxiv-vanity

We prove the existence of mixing solutions of the incompressible porous media equation for all Muskat type H5 initial data in the fully unstable regime.

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[PDF] Degraded mixing solutions for the Muskat problem

We prove the existence of infinitely many mixing solutions for the Muskat problem in the fully unstable regime displaying a linearly degraded macroscopic behaviour inside the mixing zone. In fact, we estimate the volume proportion of each fluid in every rectangle of the mixing zone. The proof is a refined version of the convex integration scheme submitted in De Lellis and

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Degraded mixing solutions for the Muskat problem

We prove the existence of infinitely many mixing solutions for the Muskat problem in the fully unstable regime displaying a linearly degraded macroscopic behaviour inside the mixing zone. In fact, we estimate the volume proportion of each fluid in every rectangle of the mixing zone. The proof is a refined version of the convex integration scheme presented in [DS10, Szé12]

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Mixing solutions for the Muskat problem with variable speed

We provide a quick proof of the existence of mixing weak solutions for the Muskat problem with variable mixing speed. Our proof is considerably shorter and extends previous results in \cite{ccf:ipm} and \cite{fsz:ipm}. Publication: arXiv e-prints. Pub Date: May 2020 arXiv: arXiv:2005.08814 Bibcode: ...

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digital.csic.es

Mixing solutions for the Muskat problem A. Castro, D. C ordoba D. Faraco April 30, 2021 Abstract We prove the existence of mixing solutions of the incompressible porous media eq

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Localized Mixing Zone for Muskat Bubbles and Turned Interfaces

Apr 07, 2022  We construct mixing solutions to the incompressible porous media equation starting from Muskat type data in the partially unstable regime. In particular, we consider bubble and turned type interfaces with Sobolev regularity. As a by-product, we prove the continuation of the evolution of IPM after the Rayleigh–Taylor and smoothness breakdown exhibited in

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Degraded mixing solutions for the Muskat problem - NASA/ADS

We prove the existence of infinitely many mixing solutions for the Muskat problem in the fully unstable regime displaying a linearly degraded macroscopic behaviour inside the mixing zone. In fact, we estimate the volume proportion of each fluid in every rectangle of the mixing zone. The proof is a refined version of the convex integration scheme presented in [DS10, Sze12]

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On the global existence for the Muskat problem

On the global existence for the Muskat problem Received October 9, 2010 and in revised form April 15, 2011 Abstract. The Muskat problem models the dynamics of the interface between two incompressible ... that some solutions do leave the Hsspaces right away even for arbitrarily small data. The nonlinear equation (1) is ill-posed in the unstable ...

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Mixing solutions for the Muskat problem with variable speed

May 18, 2020  Title: Mixing solutions for the Muskat problem with variable speed. Authors: Florent Noisette, László Székelyhidi Jr. Download PDF Abstract: We provide a quick proof of the existence of mixing weak solutions for the Muskat problem with variable mixing speed. Our proof is considerably shorter and extends previous results in \cite{ccf:ipm} and ...

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Mixing solutions for the Muskat problem : A. Castro : Free

We prove the existence of mixing solutions of the incompressible porous media equation for all Muskat type $H^5$ initial data in the fully unstable regime.

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Mixing solutions for the Muskat problem - Inventiones

Inventiones mathematicae - We prove the existence of mixing solutions of the incompressible porous media equation for all Muskat type...

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[1805.12050v1] Degraded mixing solutions for the Muskat problem

May 30, 2018  We prove the existence of infinitely many mixing solutions for the Muskat problem in the fully unstable regime displaying a linearly degraded macroscopic behaviour inside the mixing zone. In fact, we estimate the volume proportion of each fluid in every rectangle of the mixing zone. The proof is a refined version of the convex integration scheme presented in

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Degraded mixing solutions for the Muskat problem

The rate of expansion of the mixing zone and the coarse-grained density are linear. - "Degraded mixing solutions for the Muskat problem" Figure 1: In the fully unstable regime, the molecules of the heaviest fluid are forced into break through the molecules of the lightest.

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Degraded mixing solutions for the Muskat problem

We prove the existence of infinitely many mixing solutions for the Muskat problem in the fully unstable regime displaying a linearly degraded macroscopic behaviour inside the mixing zone. In fact, we estimate the volume proportion of each fluid in every rectangle of the mixing zone. The proof is a refined version of the convex integration scheme presented in [DS10, Szé12]

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Degraded mixing solutions for the Muskat problem A.

Degraded mixing solutions for the Muskat problem A. Castro, D. Faraco, F. Mengual November 13, 2019 Abstract We prove the existence of in nitely many mixing solutions for the Muskat problem in the fully unstable regime displaying a linearly degraded macroscopic behaviour inside the mixing zone. In fact, we estimate the volume proportion of each

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mixing solutions for the muskat problem inventiones

We prove the existence of infinitely many mixing solutions for the Muskat problem in the fully unstable regime displaying a linearly degraded macroscopic behaviour inside the mixing zone. In fact, we estimate the volume proportion of each fluid in every rectangle of the mixing zone. The proof is a refined version of the convex integration ...

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Degraded mixing solutions for the Muskat problem - NASA/ADS

We prove the existence of infinitely many mixing solutions for the Muskat problem in the fully unstable regime displaying a linearly degraded macroscopic behaviour inside the mixing zone. In fact, we estimate the volume proportion of each fluid in every rectangle of the mixing zone. The proof is a refined version of the convex integration scheme presented in [DS10, Sze12]

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On the global existence for the Muskat problem

On the global existence for the Muskat problem Received October 9, 2010 and in revised form April 15, 2011 Abstract. The Muskat problem models the dynamics of the interface between two incompressible ... that some solutions do leave the Hsspaces right away even for arbitrarily small data. The nonlinear equation (1) is ill-posed in the unstable ...

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Mixing solutions for the Muskat problem Papers With Code

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Mixing solutions for the Muskat problem - NASA/ADS

adshelp[at]cfa.harvard The ADS is operated by the Smithsonian Astrophysical Observatory under NASA Cooperative Agreement NNX16AC86A

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[PDF] Mixing solutions for IPM Semantic Scholar

We explain the main steps in the proof of the existence of mixing solutions of the incompressible porous media equation for all Muskat type H5 initial data in the fully unstable regime which appears in [4]. Also we present some numerical simulations about these solutions.

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Mixing solutions for IPM

We explain the main steps in the proof of the existence of mixing solutions of the incompressible porous media equation for all Muskat type H 5 initial data in the fully unstable regime which appears in [4]. Also we present some numerical simulations about these solutions. ... T. Beck, P. Sosoe and P. Wong, Duchon-Robert solutions for the ...

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