A dictionary of Confusable Phrases: More Than 10,000 Idioms and Collocations

come under the name of • go under the name of
come under the name of —be classified or categorized as: He
says there is no reason for de-facto or same-sex relationships
to come under the name of “marriage.”
go under the name of —be known by a specific name; use a
name different from one’s own: He went under the name of
Baker, to avoid discovery by the police.
come up • go up
come up —
1
. (of plants) appear above the soil: I sowed some
beans three weeks ago, but they haven’t come up yet. 2. (of a
question, etc.) arise; be mentioned: His name came up when-
ever the matter of nuclear energy was discussed. 3. (legal) be
considered (in a court of law): The paper announced the cases
that were to come up at the assizes the following day. 4. (of an
opportunity, etc.) arise; occur: I’ll let you know as soon as a
vacancy comes up. 5. rise in status, rank, etc.: That politician
has come up in my opinion since I heard his last speech.
go up —
1
. (of the curtain) rise: The lights went down and
the curtain went up. 2. be constructed: New universities went
up at a fantastic rate in the 
1
960s. 3. = come up 5: Jane has
gone up in my estimation since she did that. 4. move to the
next higher class at school: Did all the children go up at the
end of the year? 5. (of prices, etc.) rise; increase: Everything
seems to be going up these days: coal, groceries, rents. 6. be
shattered by explosion: The munition factory went up when
the bomb fell on it.
come up against a brick wall • run one’s head into
a brick wall
come up against a brick wall —(also: come up against a blank
wall) encounter an insurmountable obstacle or difficulty: So
far, our efforts to stop the smuggling of protected species have
come up against a brick wall.