Keywords: primary; 35Q30; 35D35; secondary; 35B44; 35K65; Navier-Stokes-Boltzmann equations; Regular solutions; Strong solutions; Vacuum; Degenerate viscosity; Blow-up criterion;
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Keywords: 49J53; 35D30; 35D35; Mean curvature flow with prescribed contact angle; Sets of finite perimeter; Capillary functional; Minimizing movements;
Keywords: 35L05; 35L20; 35D30; 35D35; 35Q74; Wave equation; Dynamical boundary conditions; Damping; Supercritical sources;
Keywords: 35K92; 35K05; 37L05; 35D35; 35J92; 35D30; 35B45; Venttsel' boundary conditions; Nonlocal boundary conditions; Nonlinear C0-semigroups; Ultracontractivity for nonlinear semigroups; A priori estimates; Nonlinear energy forms on fractals;
Keywords: 92D25; 35D35; 35K20; Two interacting populations; Strong solutions; Galerkin approximation; Turing instability;
Keywords: 35F21; 35D35; 35D40First-order Hamilton–Jacobi Equations; Viscosity solutions; Regularizing effects
Keywords: 35D35; 35Q35; 76A15; 76D03; Density-dependent liquid crystal system; Existence and uniqueness; Strong solutions; Ericksen-Leslie system;
Keywords: 35Q35; 76A15; 35D35; 35B44Incompressible nematic liquid crystal flows; Density-dependent; Strong solutions; Blowup criterion
Keywords: 35J57; 35D35; 91A23; Elliptic diagonal systems; Existence; Regularity; Hölder continuity; Liouville theorem; Differential game theory;
Keywords: 35L80; 35D30; 35D35; 35C15; 35P15; 35B50; 35B51; 35A16; 35B33Degenerate hyperbolic equations; Generalized solutions; Integral representation of solutions; Spectral theory; Maximum and comparison principles; Topological methods of nonlinear analysis; Criti
Keywords: 65M12; 65M70; 65N12; 65N35; 65M15; 65M22; 65J10; 65J20; 35D30; 35D35; 35B65; 41A25; 41A63Stability; Partial differential equations; Tau methods; Pseudospectral methods; Collocation; Discretization
Boundary partial regularity for steady flows of electrorheological fluids in 3D bounded domains
Keywords: 35D30; 35D35; 76D03; 76A05; Electrorheological fluid; Weak solution; Partial regularity; Regularity up to the boundary; Variable exponent;
Exact solutions for the Cauchy problem to the 3D spherically symmetric incompressible Navier-Stokes equations
Keywords: Navier-Stokes equations; asymptotic behavior; Riccati equation; 35Q30; 35Q35; 35D35; 76N10; 76N15;
An evolution von Kármán equation modeling suspension bridges
Keywords: 35G31; 74K20; 35D35; von Kármán equation; Torsional stability; Suspension bridge;
Aleksandrov-Bakelman-Pucci maximum principles for a class of uniformly elliptic and parabolic integro-PDE
Keywords: 35R09; 35B50; 35D35; 45K05; 93E20; Integro-PDE; Aleksandrov-Bakelman-Pucci maximum principle;
Well-posedness of weak and strong solutions to the kinetic Cucker-Smale model
Keywords: 35B35; 35D35; 35Q83; 35Q92; Well-posedness; Strong solution; Kinetic Cucker-Smale model; Velocity averaging lemma;
Lorentz estimates for fully nonlinear parabolic and elliptic equations
Keywords: 35D35; 35J60; 35K55; Fully nonlinear parabolic equations; Fully nonlinear elliptic equations; Lorentz spaces; (δ,R)-vanishing nonlinearity; Large-M-inequality principle;
A blow-up criterion of spherically symmetric strong solutions to 3d compressible navier-stokes equations with free boundary
Keywords: Blow-up criterion; spherically symmetric; free boundary; compressible Navier-Stokes equations35B44; 35D35; 35Q30; 35R35
Maximal Sobolev regularity for solutions of elliptic equations in infinite dimensional Banach spaces endowed with a weighted Gaussian measure
Keywords: 28C20; 35D30; 35D35; 35J15; 46G12Weighted Gaussian measures; Wiener spaces; Maximal regularity; Moreau–Yosida approximations; Elliptic equations; Domains of operators
Existence and nonexistence of positive solutions of pp-Kolmogorov equations perturbed by a Hardy potential
Keywords: 35A01; 35B09; 35B25; 35D30; 35D35; 35K92Weighted Hardy inequality; Nonlinear Ornstein–Uhlenbeck operator; pp-Laplace operator; Singular perturbation; Existence; Nonexistence
Structural stability for the Morris–Lecar neuron model
Keywords: Morris–Lecar equations; Structural stability; Continuous dependence; Strong solution; Well-posedness35A01; 35B30; 92B05; 34D30; 35D35
Equation and dynamic boundary condition of Cahn–Hilliard type with singular potentials
Keywords: 35K61; 35K25; 35D30; 35D35; 80A22Cahn–Hilliard system; Dynamic boundary condition; Mass conservation; Well-posedness; Strong solution