scientific article; zbMATH DE number 1160619

From MaRDI portal
Publication:4392740

DOI<1261::AID-CPA3>3.0.CO;2-6 10.1002/(SICI)1097-0312(199712)50:12<1261::AID-CPA3>3.0.CO;2-6zbMath0909.35109MaRDI QIDQ4392740

Alexander I. Shnirelman

Publication date: 8 June 1998


Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.



Related Items

Energy equalities for the 2D reduced‐gravity two‐and‐a‐half layer systemSingular solutions of nonlinear hydrodynamic equations arising in turbulence theoryThe energy conservation of the Landau-Lifshitz-Bloch equationOnsager's energy conservation of solutions for density-dependent Euler equations in \(\mathbb{T}^d\)Simulation example of a black noiseStability of Hill's spherical vortexOn symmetry breaking for the Navier-Stokes equationsGlobal existence and non-uniqueness of 3D Euler equations perturbed by transport noiseOn Compressible and Incompressible Vortex SheetsOn the Euler equations of incompressible fluidsZero Viscosity Boundary Effect Limit and TurbulenceEnergy equalities for compressible Navier–Stokes equationsBounded mean oscillation and the uniqueness of active scalar equationsReflections and prospectivesGlobal Ill‐Posedness of the Isentropic System of Gas DynamicsRemarks on the non-uniqueness in law of the Navier-Stokes equations up to the J.-L. Lions' exponentA proof of Onsager's conjectureAlgebraic spiral solutions of the 2d incompressible Euler equationsShock polars for non-polytropic compressible potential flowRenormalization of active scalar equationsNonuniqueness and existence of continuous, globally dissipative Euler flowsConvex integration for a class of active scalar equationsTurbulent cascade direction and Lagrangian time-asymmetryOnsager's conjecture on the energy conservation for solutions of Euler equations in bounded domainsMathematical, Physical and Numerical Principles Essential for Models of Turbulent MixingRigorous results on conserved and dissipated quantities in ideal MHD turbulenceWeak-strong uniqueness for measure-valued solutions of some compressible fluid modelsOn admissibility criteria for weak solutions of the Euler equationsSelf-similar 2d Euler solutions with mixed-sign vorticityEnergy conservation in two-dimensional incompressible ideal fluidsOn weak solutions to the 2D Savage–Hutter model of the motion of a gravity-driven avalanche flowNon-uniqueness in law for the Boussinesq system forced by random noiseEnergy conservation for solutions of incompressible viscoelastic fluidsSharp nonuniqueness for the Navier-Stokes equationsWeak-strong uniqueness for the Navier-Stokes equation for two fluids with ninety degree contact angle and same viscositiesHölder continuous solutions of Boussinesq equation with compact supportWeak solutions of ideal MHD which do not conserve magnetic helicityDissipative continuous Euler flowsVortex motion for the lake equationsOn the interior regularity of weak solutions to the 2-D incompressible Euler equationsThe solution of embedding problems in the framework of GAPs with applications on nonlinear PDEsNonUniqueness in Law for Two-Dimensional Navier--Stokes Equations with Diffusion Weaker than a Full LaplacianOn weak-strong uniqueness for stochastic equations of incompressible fluid flow\(h\)-principles for the incompressible Euler equationsStationary solutions and nonuniqueness of weak solutions for the Navier-Stokes equations in high dimensionsEnergy conservation for inhomogeneous incompressible and compressible Euler equationsWeak Lower Semicontinuity of Integral Functionals and Applications\(L^2\)-density of wild initial data for the hypodissipative Navier-Stokes equationsEuler equation existence, non-uniqueness and mesh converged statisticsNonlinear open mapping principles, with applications to the Jacobian equation and other scale-invariant PDEsMacroscopic non-uniqueness and limits of Hamiltonian dynamicsOn the Continuous Periodic Weak Solutions of Boussinesq EquationsWeak-strong uniqueness for measure-valued solutionsHigh dimensionality and h-principle in PDEOn Nash’s unique contribution to analysis in just three of his papersOn the Rank-1 convex hull of a set arising from a hyperbolic system of Lagrangian elasticityA uniqueness lemma with applications to regularization and incompressible fluid mechanicsMathematical aspects of hydrodynamics. Abstracts from the workshop held August 18--24, 2019Weak solutions to the incompressible Euler equations with vortex sheet initial dataNonuniqueness of weak solutions to the Navier-Stokes equationThe 3D incompressible Euler equations with a passive scalar: a road to blow-up?A projection method for the computation of admissible measure valued solutions of the incompressible Euler equationsDissipative Euler flows and Onsager's conjectureWeak vorticity formulation of 2D Euler equations with white noise initial conditionBounded solutions of ideal MHD with compact support in space-timeNon-existence of strong regular reflections in self-similar potential flowVariational methods for evolution. Abstracts from the workshop held November 12--18, 2017Anomalous dissipation and energy cascade in 3D inviscid flowsA posteriori error estimates for self-similar solutions to the Euler equationsContinuity of the solution map of the Euler equations in Hölder spaces and weak norm inflation in Besov spacesConvex integration constructions in hydrodynamicsNonuniqueness of Weak Solutions to the 3 Dimensional Quasi-Geostrophic EquationsThe ℎ-principle and the equations of fluid dynamicsNonUnique Admissible Weak Solutions of the Compressible Euler Equations with Compact Support in SpaceThe three-dimensional Euler equations: Where do we stand?Singular, weak and absent: Solutions of the Euler equationsDissipative anomalies in singular Euler flowsComputational visualization of Shnirelman's compactly supported weak solutionGlobal regularity and convergence of a Birkhoff-Rott-α approximation of the dynamics of vortex sheets of the two-dimensional Euler equationsNonunique Weak Solutions in Leray--Hopf Class for the Three-Dimensional Hall-MHD SystemThe initial value problem for the Euler equations of incompressible fluids viewed as a concave maximization problemOn the energy of inviscid singular flowsHölder continuous periodic solution of Boussinesq equation with partial viscosityOn the vortex filament conjecture for Euler flowsCauchy problem for dissipative Hölder solutions to the incompressible Euler equationsNon-uniqueness and \(h\)-principle for Hölder-continuous weak solutions of the Euler equationsThe Euler equations as a differential inclusionStability and spectral convergence of Fourier method for nonlinear problems: on the shortcomings of the \(2/3\) de-aliasing methodNon-uniform dependence on initial data of solutions to the Euler equations of hydrodynamicsGeometric Properties and Nonblowup of 3D Incompressible Euler FlowLack of uniqueness for weak solutions of the incompressible porous media equationYoung measures generated by ideal incompressible fluid flowsLinear and Nonlinear Waves in Gas DynamicsVortex sheets and diffeomorphism groupoidsCompressible vortex sheets separating from solid boundariesOn the weak solutions to the Maxwell-Landau-Lifshitz equations and to the Hall-Magneto-Hydrodynamic equationsGlobal weak solutions to the three-dimensional inviscid Boussinesq system in the presence of magnetic fieldPiecewise constant subsolutions for the Muskat problemNonideal Rayleigh–Taylor mixingOn weak solutions to the compressible inviscid two-fluid modelOn global-in-time weak solutions to the magnetohydrodynamic system of compressible inviscid fluidsOn the Quasi-Static Approximation to the Initial Traction Boundary Problem of Linear ElastodynamicsFinite energy weak solutions of 2d Boussinesq equations with diffusive temperatureIncompressible flows of an ideal fluid with vorticity in borderline spaces of besov type1Finite-time singularity formation for strong solutions to the axi-symmetric \(3D\) Euler equationsHölder continuous solutions of Boussinesq equationsApproximate solutions of the incompressible Euler equations with no concentrationsOnsager's energy conservation for inhomogeneous Euler equationsNumerical evidence of nonuniqueness in the evolution of vortex sheetsNonuniqueness in law for stochastic hypodissipative Navier-Stokes equationsLocalised relative energy and finite speed of propagation for compressible flowsA note on the solution map for the periodic Camassa–Holm equationSpecial issue in honour of Alexander Shnirelman's 75th birthdayOn singularities in the quaternionic Burgers equationVarious formulations and approximations of incompressible fluid motions in porous media




This page was built for publication: