29,631 research outputs found

    Global smooth solutions of Euler equations for Van der Waals gases

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    We prove global in time existence of solutions of the Euler compressible equations for a Van der Waals gas when the density is small enough in mËť\H{m}, for mm large enough. To do so, we introduce a specific symmetrisation allowing areas of null density. Next, we make estimates in mËť\H{m}, using for some terms the estimates done by M. Grassin, who proved the same theorem in the easier case of a perfect polytropic gas. We treat the remaining terms separately, due to their non-linearity

    EXTERNAL FACTORS THAT WILL DRIVE THE NEXT FARM BILL DEBATE

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    Farm Bill, Federal Budget Deficit, Congressional Budget Office, Political Stakeholders, House Agriculture Committee, Senate Agriculture Committee, Permanent Legislation, Agricultural and Food Policy, Q18,

    Mean curvature flow with obstacles: existence, uniqueness and regularity of solutions

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    We show short time existence and uniqueness of \C^{1,1} solutions to the mean curvature flow with obstacles, when the obstacles are of class \C^{1,1}. If the initial interface is a periodic graph we show long time existence of the evolution and convergence to a minimal constrained hypersurface
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