#existential-quantification
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Navier Stokes systems with quasimonotone viscosity tensor
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Navier Stokes systems with quasimonotone viscosity tensor
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The expected long time behavior of a solution of the spatially homogeneous Boltzmann equation seems to leave little room for imagination: if the initial datum has finite kinetic energy then as time t goes to the solution should converge to a Maxwellian distri bution In I thought about two related but seemingly more original problems One was the possibility to keep the energy finite but let time go to instead of then the asymptotic behavior looks a priori unclear but what is more there is good reason to suspect that there is no solution at all The other was to relax the assumption of finite energy and try to construct self similar solutions which would capture the asymptotic be havior of solutions with infinite energy and would play the role of the stable stationary laws in classical probability theory In a preliminary investigation it looked very reasonable to consider these problems in the simple setting of the spatially homogeneous Boltzmann equation with Maxwellian collision kernel
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The expected long time behavior of a solution of the spatially homogeneous Boltzmann equation seems to leave little room for imagination: if the initial datum has finite kinetic energy then as time t goes to the solution should converge to a Maxwellian distri bution In I thought about two related but seemingly more original problems One was the possibility to keep the energy finite but let time go to instead of then the asymptotic behavior looks a priori unclear but what is more there is good reason to suspect that there is no solution at all The other was to relax the assumption of finite energy and try to construct self similar solutions which would capture the asymptotic be havior of solutions with infinite energy and would play the role of the stable stationary laws in classical probability theory In a preliminary investigation it looked very reasonable to consider these problems in the simple setting of the spatially homogeneous Boltzmann equation with Maxwellian collision kernel
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University of Illinois at Urbana Champaign Fall
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University of Illinois at Urbana Champaign Fall
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A Sharp Small Deviation Inequality for the Largest Eigenvalue of a Random Matrix
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A Sharp Small Deviation Inequality for the Largest Eigenvalue of a Random Matrix
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INTEGRAL POINTS ON GENERIC FIBERS
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Irrationality exponent and rational approximations with prescribed growth
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Irrationality exponent and rational approximations with prescribed growth
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ON STEADY THIRD GRADE FLUIDS EQUATIONS
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The Steinhaus property and Haar null sets
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University of Illinois at Urbana Champaign Fall
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Cours de Francis Clarke
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On the Approximation Order of Tangent Estimators G Albrecht
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On the Approximation Order of Tangent Estimators G Albrecht
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REDUCIBILITY FOR LINEAR QUASI PERIODIC DIFFERENTIAL EQUATIONS
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REDUCIBILITY FOR LINEAR QUASI PERIODIC DIFFERENTIAL EQUATIONS
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STICKY PARTICLES AND SCALAR
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Pairs of isogenous Jacobians of hyperelliptic curves of arbitrary genus
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Pairs of isogenous Jacobians of hyperelliptic curves of arbitrary genus
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GEOMETRIC OPTICS WITH CRITICAL VANISHING VISCOSITY FOR ONE DIMENSIONAL SEMILINEAR INITIAL VALUE PROBLEM
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GEOMETRIC OPTICS WITH CRITICAL VANISHING VISCOSITY FOR ONE DIMENSIONAL SEMILINEAR INITIAL VALUE PROBLEM
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Existence and uniqueness of constant mean curvature spheres in Sol3 Benoıt Daniela and Pablo Mirab
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Existence and uniqueness of constant mean curvature spheres in Sol3 Benoıt Daniela and Pablo Mirab
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ELEMENTS OF OPERATOR ALGEBRAS AND MODULAR THEORY
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Asymptotics and stability for global solutions to the
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Asymptotics and stability for global solutions to the
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The Directed Spanning Forest is almost surely a tree
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The Directed Spanning Forest is almost surely a tree
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Abstract In M Artin proved that any formal power series solution of a system of analytic equations may be approximated by convergent power series solutions Motivated by this result and a similar result of P oski he con jectured that this remains true when we replace the ring of convergent power series by a more general ring This paper presents the state of the art on this problem aimed at non experts In particular we put a slant on the Artin Approximation Problem with con straints
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Abstract In M Artin proved that any formal power series solution of a system of analytic equations may be approximated by convergent power series solutions Motivated by this result and a similar result of P oski he con jectured that this remains true when we replace the ring of convergent power series by a more general ring This paper presents the state of the art on this problem aimed at non experts In particular we put a slant on the Artin Approximation Problem with con straints
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University of Illinois at Urbana Champaign Fall
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University of Illinois at Urbana Champaign Fall Math Group E13
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University of Illinois at Urbana Champaign Fall Math Group E13
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RANGE OF THE GRADIENT OF A SMOOTH BUMP FUNCTION IN FINITE DIMENSIONS
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RANGE OF THE GRADIENT OF A SMOOTH BUMP FUNCTION IN FINITE DIMENSIONS
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DIAMETER PINCHING IN ALMOST POSITIVE RICCI CURVATURE
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Asymptotics and stability for global solutions to the
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Asymptotics and stability for global solutions to the
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The Fundamental Theorem of Algebra made effective: an elementary real algebraic proof via Sturm chains
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The Fundamental Theorem of Algebra made effective: an elementary real algebraic proof via Sturm chains
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A POSTERIORI ERROR ESTIMATES OF THE STABILIZED CROUZEIX RAVIART FINITE ELEMENT METHOD FOR THE
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A POSTERIORI ERROR ESTIMATES OF THE STABILIZED CROUZEIX RAVIART FINITE ELEMENT METHOD FOR THE
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The Vlasov Poisson system with infinite mass and energy
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The Vlasov Poisson system with infinite mass and energy
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Traveling waves for nonlinear Schrodinger equations with nonzero conditions at infinity II
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Traveling waves for nonlinear Schrodinger equations with nonzero conditions at infinity II
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Introduction Related Work Attacking IP1S Attacking the full IP Conclusion
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Introduction Related Work Attacking IP1S Attacking the full IP Conclusion
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