Keywords: 35A09; 35B40; 35J08; 35Q35; Green's function; Compressible micropolar fluids; Huygens' principle;
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Keywords: primary; 51-02; secondary; 34A05; 35A09; Archimedes; Floating bodies; Multidimensional conoids; Clairaut equations;
Keywords: 35A01; 35A02; 35A09; 35B09; 35B33; 35B40; 35B51; 35K70Sublinear pseudoparabolic equation; Non-autonomous and unbounded source; Comparison principle; Global well-posedness; Grow-up rate; Critical exponent
Keywords: 35Q35; 35A09; 35B30; 76N10; 76X05; Euler-Poission; Physical vacuum; Well-posedness; Two and three dimensions;
Keywords: 35K65; 35A09; 35G20; 35K25Thin film equation; The Cauchy problem; Finite interfaces; Oscillatory sign-changing behaviour; Analytic εε-regularization; Uniqueness
Keywords: 35A01; 35A09; 35M33Transport equation; Elliptic–hyperbolic; Global existence; Prescribed Jacobian determinant
Keywords: primary; 35A09; 35B44; 35Q30; secondary; 35L65; 35Q35; Navier-Stokes-Boltzmann equations; Classical solutions; Vacuum; Blow-up;
Symmetries of the Eikonal equation
Keywords: Lie algebra; Symmetries; Invariant solutions; Eikonal equation; 17B99; 35A09; 35A24; 35B06;
The Navier-slip thin-film equation for 3D fluid films: Existence and uniqueness
Keywords: 35R35; 35A09; 35K65; 35K25; 35K55; 76A20; 76D08; Free boundary; Classical solutions; Moving contact line; Fourth-order degenerate-parabolic equations; Lubrication approximation; Navier slip;
Symmetries, travelling-wave and self-similar solutions of the Burgers hierarchy
Keywords: Burgers equation; Symmetries; Integrability; 35A09; 35A24; 35B06; 35C05; 22E60;
Global classical solutions to the 2D compressible MHD equations with large data and vacuum
Keywords: 35A09; 35Q30; 35Q35; 76N10; Compressible MHD equations; Global classical solutions; Density-dependent viscosity; Large data; Vacuum;
Regularity in the obstacle problem for parabolic non-divergence operators of Hörmander type
Keywords: 35K70; 35B65; 35B44; 35A09; Obstacle problem; Parabolic equations; Hörmander condition; Hypoelliptic; Regularity;